please help!! there are multiple parts that i dont get

Please Help!! There Are Multiple Parts That I Dont Get

Answers

Answer 1

Answer:

  (a, b) alternate interior angles at M and N, and at A and B are congruent

  (c) the triangles are congruent by SAS and by ASA (and MX = NX)

  (d) angles are no longer congruent, so the triangles are not congruent. The radii are given as congruent, but the chords cannot be shown congruent.

Step-by-step explanation:

Given same-size circles A and B, externally tangent to each other at X, each with chords MX and NX, you want to know what can be concluded if AM║BN, and what is unprovable if those segments are not parallel.

Same-size circles

The circles being the same size means all the radii are congruent. This is shown by the single hash marks in the attached diagram.

(a) Angles

Alternate interior angles where a transversal crosses parallel lines are congruent. If AM║BN, this means the angles marked with a single arc are congruent, and the angles marked with a double arc are congruent. These are the alternate interior angles at transversal MN and at transversal AB.

(b) Corresponding parts

If AM║BN, in addition to the given congruences, we also know ...

all radii are congruent — given in the problem statementangles M and N are congruent (see above)angles A and B are congruent (see above)the vertical angles at X are congruent to each other and to angles M and N (isosceles triangles) (AMBN is a parallelogram.)

(c) Congruent triangles

∆AMX ≅ ∆BNX by SAS or ASA (take your pick).

(d) Not parallel

If AM and BN are not parallel, MN is not a straight line through X, the angles at A and B are not congruent, and the angles at M and N are not congruent. (We assume segment AB still goes through X.)

__

Additional comment

Triangles MAX and NBX are isosceles, so their base angles are congruent. If X lies on MN, then AM and BN must be parallel, since the vertical angles at X will be congruent along with the other base angles at M and N. If AM and BN are not parallel, point X cannot lie on segment AB.

Please Help!! There Are Multiple Parts That I Dont Get

Related Questions

what is the significance of a pedigree symbol consisting of a square with a diagonal slash mark through it?

Answers

The significance of a pedigree symbol consisting of a square with a diagonal slash mark through it is that it represents the male members of the family

It is a standard symbol in a pedigree chart. This symbol represents the sex of a person, in this case, it represents the male sex. In other words, a square with a diagonal slash mark through it is used to represent the male gender in pedigree charts.

A pedigree chart is a diagram that shows the genetic relationships between individuals in a family. It is used to track genetic diseases or traits through generations. A pedigree chart can provide information about a family's medical history and can help doctors to understand how genetic disorders are inherited from one generation to the next. Each symbol used in the pedigree chart has a specific meaning.

The squares represent males while the circles represent females. The horizontal line between two symbols represents marriage, and the vertical line from a symbol represents a child of that union.

See more about symbol at: https://brainly.com/question/1389310

#SPJ11

you wish to compute the 90% confidence interval for the population proportion. how large a sample should you draw to ensure that the sample proportion does not deviate from the population proportion by more than 0.05? no prior estimate for the population proportion is available.

Answers

To compute the 90% confidence interval for the population proportion, large a sample should you draw to ensure that the sample proportion does not deviate from the population proportion by more than 0.05, 271 is the minimum sample

How do we find the minimum sample size?

A confidence interval is a range of values where an unknown population parameter lies. The level of confidence is the likelihood of the interval containing the parameter.

The formula to calculate the sample size required to produce a specific margin of error with a known level of confidence for the estimation of a population proportion is given below: 95% confidence interval for population proportion using a sample size formula

[tex]\[n=\frac{z^{2}p(1-p)}{E^{2}}\][/tex]

Where

[tex]\[E\][/tex]is the margin of error[tex]\[p\][/tex] is the sample proportion.

[tex]\[z\][/tex] is the z-score The formula is modified to calculate the sample size required to produce a specific margin of error with a known level of confidence as follows:

[tex]\[n=\frac{z^{2}}{4E^{2}}\][/tex]

Note: For this problem, the sample size needs to be large enough to ensure that the sample proportion does not deviate from the population proportion by more than 0.05.

Using a Z-score Table, the z-value that corresponds to 90% confidence interval is 1.645.

[tex]n=\frac{z^{2}}{4E^{2}}\ = \frac{1.645^{2}}{4(0.05)^{2}} = \frac{2.706225}{0.0100} = 270.6[/tex]

(rounded up to the next highest integer)Therefore, 271 is the minimum sample size required to compute a 90% confidence interval for the population proportion.

See more about sample size at: https://brainly.com/question/28583871

#SPJ11

1. Find the sine of angle in the triangle below.
3
8

Answers

To solve the question asked, you can say:  So the other side of the triangle will be as [tex]A = \sqrt73[/tex].

What precisely is a triangle?

A triangle is a closed two-dimensional geometric object consisting of three line segments, called edges, that intersect at three places called vertices. Triangles are distinguished by their sides and angles. A triangle can be equilateral (all sides equal), isosceles, or odd, depending on the sides. Triangles are classified as acute (any angle less than 90 degrees), right (angles equal to 90 degrees), or obtuse (any angle greater than 90 degrees). The area of ​​a triangle can be calculated using the formula A =​​ (1/2)bh. where A is the area, b is the base of the triangle, and h is the height of the triangle.  

here in the triangle we have sides that are 3 and 8

we can use

[tex]A^2 = B^2 + C^2\\A^2 = 3^2 + 8^2\\A^2 = 9+64\\A^2 = 73\\A = \sqrt73[/tex]

So the other side of the triangle will be as [tex]A = \sqrt73[/tex].

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

a survey found that 10% of americans believe that they have seen a ufo. for a sample of 10 people, find each probability: a. that at least 2 people believe that they have seen a ufo b. that 2 or 3 people believe that they have seen a ufo c. that exactly 1 person believes that he or she has seen a ufo

Answers

The probability that at least 2 people believe that they have seen a ufo is 0.1937102445. The probability that exactly 1 person believes that he or she has seen a ufo is problem: P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890.

What is the probability?

The probability that at least 2 people believe that they have seen a UFO would be 0.1937102445. For this we use the binomial distribution formula.

P(X ≥ 2) = 1 − P(X = 0) − P(X = 1)P(X = 0) = (9/10)¹⁰

P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890 (rounded to 10 decimal places)

P(X ≥ 2) = 1 − 0.3874204890 − 0.3486784401 = 0.1937102445 (rounded to 10 decimal places)

The probability that 2 or 3 people believe that they have seen a UFO would be 0.1937102445. Using the formula of binomial distribution again we can solve for the probability of this event.

P(2 ≤ X ≤ 3) = P(X = 2) + P(X = 3)P(X = 2) = 10C₂ (0.10)² (0.90)⁸= 0.1937102445 (rounded to 10 decimal places)

P(X = 3) = 10C₃ (0.10)³ (0.90)⁷= 0.0573956280 (rounded to 10 decimal places)

P(2 ≤ X ≤ 3) = 0.1937102445 + 0.0573956280 = 0.2511058725 (rounded to 10 decimal places)

The probability that exactly 1 person believes that he or she has seen a UFO would be 0.3874204890. Using the binomial distribution formula to solve this problem:

P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890 (rounded to 10 decimal places)

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ11

I know I'm using this app a ton today.

...A store pays $261 for a diving board and marks the price up by 45%. What is the amount of the mark-up?

Answers

Answer:

If the store marks up the price of the diving board by 45%, the selling price will be 100% + 45% = 145% of the cost price.

Let's calculate the selling price:

Selling price = Cost price + Mark-up

Mark-up = Selling price - Cost price

Mark-up = (145% of cost price) - cost price

Mark-up = 0.45 * cost price

We know that the store paid $261 for the diving board, so:

Mark-up = 0.45 * $261 = $117.45

Therefore, the amount of the mark-up is $117.45.

well, what's 45% of 261?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{45\% of 261}}{\left( \cfrac{45}{100} \right)261}\implies \text{\LARGE 117.45}[/tex]

Which of the following statements are true?(Choose all correct answers)Methods cannot be written with parameters.Parameter values can never be used within the method code block.Methods can be written with any number of parameters.Methods can never be written with more than four parameters.Parameter values can be used within the method code block

Answers

The true statement is, Parameter values can be used within the method code block. (option e).

In computer programming, methods are used to group a set of instructions together that can be executed repeatedly. Parameters are used to pass values to a method so that the method can perform specific actions based on the values passed. Let's discuss the given statements one by one to determine which ones are true.

Parameter values can be used within the method code block.

This statement is true. Parameter values can be used within the method code block to perform specific actions. The parameter values can be manipulated or combined with other values to produce the desired result.

In summary, methods can be written with any number of parameters, and parameter values can be used within the method code block to perform specific actions. The number of parameters needed will depend on the specific task the method is designed to perform.

Hence the option (e) is correct.

To know more about parameter here

https://brainly.com/question/30757464

#SPJ4

The Turners have purchased a house for $170,000. They made an initial down payment of $34,000 and secured a mortgage with interest charged at a rate of 3.5%/year on the unpaid balance. (Interest computations are made at the end of each month.) Assume that the loan is amortized over 15 years. (Round all answers to the nearest cent.)

(a) What monthly payment will the Turners be required to make?
$

(b) What will be their total interest payment?
$

(c) What will be their equity (disregard depreciation and inflation) after 10 years?
$

Answers

(a) The present value of an annuity formula can be used to calculate the monthly payment: Payment is equal to (PV x I / (1 - (1 + i)(-n)).

What monthly payment will the Turners be required to make?

Where PV is the loan's present value, I is its monthly interest rate (0.035 / 12), and n is the number of payments (15 years multiplied by 12 months every year = 180 months).

Applying the values provided, we obtain:

(136,000 x 0.002917) / (1 - (1 + 0.002917)(-180)) is the amount to be paid.

Amount paid: $1,054.63

Hence, the installment will be $1,054.63 per month.

What will be their total interest payment?

(b) By deducting the loan amount (PV) from the total amount paid over the loan's lifetime, it is possible to get the total interest payment:

Total interest equals PV minus (Payment x n)

Applying the values provided, we obtain:

$1,054.63 multiplied by 180 equals $136,000 in interest.

Interest totaled $88,833.40.

The total interest payment will therefore be $88,833.40.

What will be their equity (disregard depreciation and inflation) after 10 years?

(c) The Turners will have paid 120 times over the course of 10 years (10 years x 12 months/year). To determine their equity, we can apply the formula for calculating a loan's remaining balance:

The remaining balance is calculated as follows: PV x (1 + i)n - Payment x (1 + i)n - 1)/i

Where n denotes how many payments are still due (180 - 120 = 60).

Applying the values provided, we obtain:

The remaining balance is calculated as follows: $136,000 x (1 + 0.002917)60 - $1,054.63 x (1 + 0.002917)60 - 0.002917

Balance remaining: $71,587.90

As a result, their equity will be $170,000 (the original purchase price) less $71,587.90 (the outstanding balance) = $98,412.10 after ten years.

Learn more about Simple interest here:

brainly.com/question/25845758

#SPJ1

25. Students in a class took an algebra test if 15 students passed the test what percent pass the test

Answers

Answer:

15/x * 100 %

Step-by-step explanation:

Since we don't know the total, we have 15/x * 100 % as the percent of how many people passed the test. (x is amount of people, 15 or greater.)

Ñamandu es un genio dibujó un cuadrado de x cm cada lado en la parte superior del cuadrado partió en tres partes iguales quedando el corte expresado de esta manera x bajo 3 unió el primer punto de corte con el vértice del lado paralelo trazando un segmento a lo que llamó y Descubre que figuras se forman y entra el perímetro de cada figura formado

Answers

The figures created are a square and a right triangle, and the perimeter of the entire figure is (13x/3) + x × sqrt(10).

When Namandu divides the top side of the square into three equal parts, he creates two segments of length x/3 each. By connecting the first point of division with the vertex of the parallel side, he creates a right triangle with legs of length x/3 and x, and hypotenuse of length y.

Using the Pythagorean theorem, we can solve for y:

y^2 = (x/3)^2 + x^2

y^2 = x^2/9 + x^2

y^2 = (10x^2)/9

y = x×sqrt(10)/3

Now we can find the perimeter of each figure that is created

Perimeter of the original square = 4x

Perimeter of the right triangle = x + x/3 + y = x + x/3 + xsqrt(10)/3

Perimeter of the entire figure = 4x + x + x/3 + xsqrt(10)/3 = (13x/3) + x×sqrt(10)

Learn more about Pythagorean theorem here

brainly.com/question/14930619

#SPJ4

If u dissolve 50 grams of sugar in 30 grams of water what would the sugar concentration be?

Answers

The sugar concentration would be approximately 62.5%.

To find the concentration of sugar in the solution, we need to use the formula:

Concentration = Mass of solute ÷ Volume of solution

In this case, the solute is sugar and the solvent is water. We are given that the mass of sugar is 50 grams and the mass of water is 30 grams. However, we need to convert the mass of water to volume since we need the volume of the entire solution to calculate the concentration.

We can assume that the density of water is 1 g/mL, so the volume of water is 30 mL. The total volume of the solution is therefore 50 mL + 30 mL = 80 mL.

Now we can use the formula to find the concentration of sugar:

Concentration = 50 g ÷ 80 mL ≈ 0.625 g/mL

So the concentration of sugar in the solution is approximately 0.625 grams per milliliter.

learn more about Sugar:

https://brainly.com/question/501165
#SPJ4

The vertical supports in this subdivided truss bridge are built so that ∆BAC ≅ ∆DAC, BC = BA, and CD = AD. Which statement is not true?

Answers

Answer: Not D

Step-by-step explanation:

Answer not available, but it is definitely not D.

Your welcome.

The simple interest on a certain sum at 5% per annum for 3 years and 4years differ by rupees 82 find the sum

Answers

The principal sum is Rs. 1640 if the difference in simple interest between 3 years and 4 years is Rs. 82 at a rate of 5% per annum.

Let x be the principal sum. According to the problem, the difference in simple interest between 3 years and 4 years is Rs. 82. This means that the interest earned in the fourth year is Rs. 82 more than the interest earned in the third year.

Using the formula for simple interest, we can calculate the interest earned in each year:

Simple interest for 3 years = (x * 5% * 3) = 0.15x

Simple interest for 4 years = (x * 5% * 4) = 0.2x

The difference between the two is:

0.2x - 0.15x = 0.05x

We are given that this difference is equal to Rs. 82, so:

0.05x = 82

Solving for x, we get:

x = 82 / 0.05 = 1640

Therefore, the principal sum is Rs. 1640.

Learn more about the simple interest here: brainly.com/question/25845758

#SPJ4

What’s a ,40,70,70 degree triangle look like?

Answers

Answer:

  see attached

Step-by-step explanation:

You want a picture of an isosceles triangle with base angles of 70°.

Triangle

Such a triangle is shown in the attachment.

__

Additional comment

You can draw one of these yourself using a protractor to measure the angles.

The side lengths have the approximate ratio of 13:19:19.

in how many ways can a class of 40 students select a committee from the class that consists of a president, a vice president, a treasurer and a secretary g

Answers

The total number of ways of selecting the committee is, therefore,40 x 39 x 38 x 37= 7,903,040

A class of 40 students select a committee from the class that consists of a president, a vice president, a treasurer, and a secretary in the following way:Step-by-step explanation:The number of ways that a class of 40 students can choose a committee consisting of a president, vice president, treasurer, and a secretary can be found by using the permutation formula.If we assume that the positions of the committee members are different, the number of ways can be calculated as follows:The number of ways of selecting the president from 40 students is 40.The number of ways of selecting the vice president from the remaining 39 students is 39.The number of ways of selecting the treasurer from the remaining 38 students is 38.The number of ways of selecting the secretary from the remaining 37 students is 37.The total number of ways of selecting the committee is, therefore,40 x 39 x 38 x 37= 7,903,040Thus, secretary.

Learn more about Committee

brainly.com/question/11621970

#SPJ11

Write the equation of the circle in standard form. Then identify the center and radius of the circle. X2 + y2 – 10x + 8y + 37 = 0

Answers

The equation of the circle in standard form is (x-5)² + (y+1)² = 9. The center of the circle is (5,-1) and the radius is 3.

To write the equation of the circle in standard form, we need to complete the square for both x and y terms:

x² - 10x + y² + 8y + 37 = 0

(x² - 10x + 25) + (y² + 8y + 16) + 37 = 25 + 16

(x - 5)² + (y + 4)² = 6²

So the equation of the circle in standard form is (x - 5)² + (y + 4)² = 36.

The center of the circle is (5, -4), and the radius is 6.

Learn more about standard form equation here: brainly.com/question/12452575

#SPJ4

Answer:

center is 5,-4 radius is 2

Step-by-step explanation:

the 4 th term of a geometric sequence is 125, and the 10th term is 125/64. find the 14th term. (assume that the terms of the sequence are positive). show your working

Answers

By using the formula of a geometric sequence, the 14th term will be 125/1024

We have, the Fourth term of geometric sequence T_4= 125 and T_10 = 125/64

Let's find the first term and common ratio of the geometric sequence.

Using the formula of the nth term of a geometric sequence, we get,

T_4 = a * r^3 = 125 ....(1)

and,

T_10 = a * r^9 = 125/64 ...(2)

On dividing eq. (2) by eq. (1), we get,

(r^6) = (125/64) / 125 ⇒ 1/64

Taking the sixth root of both sides, we get:

r = (1/64)^(1/6)

r = 1/2

Now that we know the common ratio, we can use the equation for the nth term of a geometric sequence:

T_n = a * r^(n-1)

To find the 14th term, we substitute n=14 and solve:

T_14 = a * (1/2)^(14-1) ⇒ a * (1/2)^13

We don't know the value of a yet, but we can use the fact that the 4th term is 125 to solve for it:

a * r^3 = 125

a * (1/2)^3 = 125

a = 125 * 2^3

a = 1000

Substituting this value for a, we get:

T_14 = 1000 * (1/2)^13

T_14 = 1000 * 1/8192

T_14= 125/1024

Therefore, the 14th term of the geometric sequence is 125/1024.

To know more about the "geometric sequence": https://brainly.com/question/24643676

#SPJ11

Consider the validity of the statement "A Triangle with side lengths 20,21, and 28 is a right triangle"

Answers

the statement "A Triangle with side lengths 20,21, and 28 is a right triangle" is invalidated.

As, You may simply rule out the first three options if you are familiar with specific Pythagorean triples and other triangle relationships.

Pythagorean triples consist of the three positive numbers a, b, and c, where a2+b2 = c2. The symbols for these triples are (a,b,c). Here, a represents the right-angled triangle's hypotenuse, b its base, and c its perpendicular. The smallest and most important triplets are (3,4,5).

So,

20² +21² = 400 +441 = 841 = 29²

The appropriate choice is  20, 21, and 29

To know more about Pythagorean triples, click the below link

https://brainly.com/question/15190643

#SPJ4

(5x^2+2x-7)-(3x^2+6x-9)

Answers

Answer:

2x^2-4x+2

Step-by-step explanation:

depends what the question is telling you to do

if its askin you to simplify this is the answer

A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 1) is 0.2. When a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.
Find the probability that a 0 is received. (Enter the value of the probability in decimal format and round the final answer to one decimal place.)

Answers

P(0 received correctly) = P(0 sent) × P(0 received correctly | 0 sent)= [tex](2/3) × 0.8= 0.5333[/tex] (rounded to 1 decimal place)Thus, the probability that a 0 is received is 0.5333 (rounded to 1 decimal place).

0.5333

A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 1) is 0.2. When a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.The probability that a 0 is received correctly is given in the problem as 0.8, and the probability that a 0 is sent is 2/3. Therefore, the probability that a 0 is received correctly

for such more questions on probability

https://brainly.com/question/13604758

#SPJ11

The angle of elevation of the top of a flag-pole from a point on level ground is 30 degrees. From another point on the ground 20m nearer the flag-pole, the angle of elevation is 60 degrees. Calculate the height of the flag pole

Answers

Answer:

<b> <i>

Step-by-step explanation:

When solving the equation 3(x-2)=-12, what is a possible first step?
*

1)Distributing the 3 into each term of the parenthesis.
2)She could either divide by 3 or distribute 3 into the parenthesis
3)Adding 2 to each side of the equation
4) Subtracting 2 on each side of the equation
5) Dividing each side of the equation by 3
6)none of the answer choices tell what the first step could be.

Answers

Answer:

2)She could either divide by 3 or distribute 3 into the parenthesis

The sum of the base and the height of a triangle is 22 cm. Find the dimensions for which the area is a maximum. The triangle with maximum area has a height of_____cm and a base of cm_____.

Answers

The dimensions of the triangle with maximum area are a base of 11 cm and a height of 11 cm.

We are given that the sum of the base and height of a triangle is 22 cm. Let's call the base of the triangle "b" and the height "h". Then we have the equation:

b + h = 22

We want to find the dimensions of the triangle that will give us the maximum area.

The formula for the area of a triangle is A = (1/2)bh.

We can use the equation b + h = 22 to solve for one of the variables in terms of the other.

we can solve for h:

h = 22 - b

Substituting this into the formula for the area, we get:

A = (1/2)b(22 - b)

The equation 0 = 11b - (1/2)b² can be rearranged to:

(1/2)b² - 11b = 0

We can then use the quadratic formula to solve for "b"

b = 11 ± 11

So the value of b that gives us the maximum area is b = 11 cm. Substituting this back into the equation h = 22 - b, we get:

h = 22 - 11 = 11 cm

Triangle has a base of 11 cm and a height of 11 cm.

To practice more questions about area of triangle:

https://brainly.com/question/21735282

#SPJ11

Construct a 97 percent confidence interval around a sample mean of 31. 3 taken from a population that is not normally distributed with a standard deviation of 7. 6 using a sample of size 40?
Also for an error calculation of 5, what sample size should we consider?

Answers

The sample size is 12 with an error calculation of 5 if 97% of the confidence interval is around a sample mean of 31. 3.

Percent confidence = 97

Sample mean =  31. 3

Standard deviation = 7. 6

Sample size = 40

Error calculation = 5

The formula for a confidence interval using the t-distribution is:

CI = x ± tα/2 * (s/√n)

CI = 31.3 ± 2.423 * (7.6/√40)

CI = 31.3 ± 3.940

CI = (27.36, 35.24)

The population mean with an error of 5,

n = (Zα/2 * σ / E)^2

Assuming a 95% confidence level, the sample size is,

n = (1.96 * 7.6 / 5)^2

n = 11.69

Therefore we can conclude that the sample size is 12 with an error calculation of 5.

To learn more about Sample size

https://brainly.com/question/30646963

#SPJ4

find the radius of circle Q

Answers

The radius of the given circle is x = 3 and x = 3/11.

How are quadratic equations solved, and what are they?

A polynomial equation of degree two is a quadratic equation, indicating that the variable's maximum exponent is 2. There are various ways to solve a quadratic equation, including factoring, completing the square, and applying the quadratic formula. Finding two quadratic expression factors that multiply to produce the constant term c and add to produce the linear term b's coefficient is known as factoring. The quadratic expression is completed by adding and removing a constant component to create a perfect square trinomial that can be factored or solved by calculating the square root.

In the given figure connect the points QF and QG using a line segment, thus forming two right angled triangle.

The perpendicular segment QA divides the base into two equal parts. Thus, the base of the triangle is 8.

Using the Pythagorean theorem we have:

(QF)² = (8)² + (4x + 3)²

QG² = 8² + (7x - 6)²

In the figure QF = QG = r thus:

(8)² + (4x + 3)² = 8² + (7x - 6)²

Expanding using the algebraic identity:

16x² + 24x + 9 = 49x² - 84x + 36

33x² - 108x + 27 = 0

3(11x² - 36x + 9) = 0

Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Substitute the values a = 11, b = -36, and c = 9:

x = (-(-36) ± √((-36)² - 4(11)(9))) / 2(11)

x = (36 ± √(1296 - 396)) / 22

x = (36 ± √900) / 22

x = (36 ± 30) / 22

x = (36 + 30) / 22 = 3

x = (36 - 30) / 22 = 3/11

x = 3 and x = 3/11.

Thus, the radius of the given circle is x = 3 and x = 3/11.

Learn more about radius here:

https://brainly.com/question/13449316

#SPJ1

Use the following function to find d(0)
d(x)=-x+-3
d(0)=

Answers

When the function d(x) = -x +(-3), then the value of d(0) is -3

In mathematics, a function is a relationship between two sets of numbers, called the domain and range. A function assigns each element of the domain to exactly one element of the range.

In the given problem, we are given a function d(x)=-x-3. The notation d(0) represents the value of the function d(x) when x = 0.

To find d(0), we need to substitute x = 0 in the function d(x)=-x-3, which gives:

d(0) = -(0) - 3

The first term -(0) is equal to zero, and the second term -3 is a constant value that remains the same regardless of the value of x. Therefore, we can simplify the expression as

d(0) = -3

Learn more about function here

brainly.com/question/12431044

#SPJ4

Can anyone please help with this math problem? Thanks!

Answers

Answer: Yes Sofia will have enough money

=======================================================

Explanation:

Refer to the drawing below. I've split the hexagon into two pieces. The bottom is a rectangle and the top is a trapezoid.

The area of the rectangle is 16*7 = 112 square meters.

The trapezoid has 16 as one of the parallel sides. The other side is x meters. We'll use the perimeter 54 to determine what x must be

sum of the exterior sides = perimeter

6+7+16+7+6+x = 54

42+x = 54

x = 54-42

x = 12

The top most side is 12 meters. This is the missing side of the trapezoid. The hexagon has a height of 12.66 meters, so the trapezoid's height must be 12.66-7 = 5.66 meters. Refer to the blue segment I marked in the drawing below.

area of the trapezoid = 0.5*height*(base1+base2)

area = 0.5*5.66*(16+12)

area = 79.24 square meters

----------------

Recap so far

area of the rectangle at the bottom = 112 square metersarea of the trapezoid up top = 79.24 square meters

The total area of the entire hexagon is therefore 112+79.24 = 191.24 square meters.

Let's convert that to square decimeters.

Recall that 1 decimeter = 10 centimeters

Multiply both sides by 10

1 decimeter = 10 centimeters

10*(1 decimeter) = 10*(10 centimeters)

10 decimeters = 100 centimeters

10 decimeters = 1 meter

Then,

[tex]191.24 \text{ sq m}= 191.24 \text{ sq m} * \frac{10 \text{ dm}}{1 \text{ m}} * \frac{10 \text{ dm}}{1 \text{ m}}\\\\= \frac{191.24*10*10}{1*1} \text{ sq dm}\\\\= 19124 \text{ sq dm}\\\\[/tex]

The entire lawn is 19124 square decimeters.

----------------

We have one final block of calculations to determine the total price.

x = number of rolls

1 roll covers 90 square decimeters

x rolls cover 90x square decimeters

90x = 19124

x = 19124/90

x = 212.489 approximately

Round up to the nearest integer to get x = 213. It doesn't matter that 212.489 is closer to 212. We round up to clear the hurdle. It means we'll have leftover grass that isn't used (perhaps it could be handy to have some back up grass just in case mistakes are made, and some patches need to be redone).

In short, Sofia needs 213 rolls.

1 roll costs $4.50

213 rolls will cost 213*4.50 = 958.50 dollars.

This is under the $1000 threshold (with 1000-958.50 = 41.50 dollars to spare).

Sofia will have enough money to pay for all of the grass.

in a group of 100 students 50 like online class and 70 loke physical class .represent in venn diagram and how many students like bith type pf classes

Answers

Answer:

Step-by-step explanation:

100 students all together.

50+70=120....so 20 must like both.

elise is a project manager in 2016 she earned a monthly salary of £2100
in 2017 she was awarded a 3% increase on her monthly salary
given that in 2017 elise worked 42 hours per week for 45 weeks
work out her average pay per hour for the year

Answers

Answer:

Elise's average pay per hour for the year 2017 was £11.88.

Step-by-step explanation:

First, we need to calculate Elise's monthly salary in 2017 after the 3% increase:

3% of £2100 = 0.03 x £2100 = £63

Elise's new monthly salary in 2017 = £2100 + £63 = £2163

Next, we need to calculate her total earnings in 2017:

Total earnings = monthly salary x number of months worked

Elise worked for 45 weeks in 2017, which is approximately 10.4 months:

Total earnings = £2163 x 10.4 = £22,477.20

Finally, we can calculate her average pay per hour for the year:

Total number of hours worked = 42 hours/week x 45 weeks = 1890 hours

Average pay per hour = total earnings / total number of hours worked

Average pay per hour = £22,477.20 / 1890 hours = £11.88 per hour

Answer:

I got $13.73 per hour

Step-by-step explanation:

If you multiply 2100 by 12 months you get $25200 for an annual salary before percent increase.

Then you include the 3% salary increase each month 25200 x .03 = 756 then add the two 25200 + 756 = 25956 OR you can calculate the longer way by doing each individual month, either way it will be the same answer. 2100 x .03 = 63 then 2100 + 63 = 2163 then 2163 x 12 = 25956

Then you divide 25956 by the number of weeks worked in the year. 25956/45 = 576.8

So, each week $576.8 was earned.

Then to get an hourly rate, you divide this by the number of hours worked in each week. 576.8/42 = 13.73

So, the hourly rate is $13.73.

I hope this helped :)

6. 4 The point Q (3, -1) has been translated from P by the vector (3) What are the coordinates of the point P?​

Answers

The coordinates of the point P is (-1,2) .

What is translation?

In mathematics, a translation is a geometric transformation that moves every point of a figure or a space by the same amount in a given direction. The amount and direction of the movement can be described using a vector, which is a mathematical object that has both magnitude and direction.

Finding the coordinates of the point P :

The coordinates of point P can be found by subtracting the vector from point Q.

To find the coordinates of point P, we need to subtract the vector [tex]\begin{pmatrix}4\\-3\end{pmatrix}[/tex] from the coordinates of point Q, which are (3, -1).

Subtracting the x-coordinate of the vector from the x-coordinate of point Q gives us:

3 - 4 = -1

Similarly, subtracting the y-coordinate of the vector from the y-coordinate of point Q gives us:

-1 - (-3) = 2

Therefore, the coordinates of point P are (-1, 2).

So, the correct answer is (C) (-1, 2).



To know more about coordinates visit :

brainly.com/question/16634867

#SPJ1

In triangle ABC, AB = (x + 2) cm, AC = (x + 1) cm and BC = x cm.
Given that cos BAC=3/4 , find the value of x.

Answers

Answer:

the value of x is approximately 0.382 cm.

Step-by-step explanation:

Other Questions
Which of the following steps in the breakdown of glucose directly requires the use of oxygen?a. glycolysisb. citric acid cyclec. electron transport chaind. acetyl CoA conversione. None of these require oxygen. HELPPPP will give brainliest!!!(do not change the wording)Correct any run-on sentences or comma splices by making the sentences compound or complex. If a sentence is neither a run-on or a comma splice, label it C for correct. (HINT: only one of the sentences is correct.) You can only use a semicolon ONCE to combine two independent clauses, and you can only separate the independent clauses into separate sentences using a period and capitalizing the next letter ONCE in this exercise.1) School can be stressful, I like to relax.2) One of my hobbies is baking cookies they are fun to make and delicious to eat!3) I dont want to gain a lot of weight, I have to be careful not to eat them all.4) My pets try to help they like to eat any leftover dough.5) A lot of the ingredients are not healthy for them I have to be sure to clean up after myself.6) Instead, I make and bake separate batches of doggie biscuits for my pampered pets!7) It takes a lot of time and effort to make the homemade biscuits, I believe my pets like them best!8) I enjoy making freshly baked snacks for my family and my pets they enjoy eating them. Cual es la formula de 4-etil-5-propil-3,4,7-trimetildecano mr warren the physical education teacher has 7 boxes of helmets each box has h helmets write an expression to represent the total number of helmets Q3 NEED HELP PLEASE HELP Is it possible to have an acceleration without having a force? If pulse 1 were reflected from a wall, which one of the patterns above would represent the reflected pulse? A) 1 B) 2 C) 3 D) 4 E) 5 Martina made $60 for 5 hours of work. At the same rate, how many hours would she have to work to make $204 ? a major guideline for healthy people is to limit calorie intakes and obtain more and varied selections of A certain population is strongly skewed to the left. We want to estimate its mean, so we will collect a sample. Which should be true if we use a large sample rather than a small one?I. The distribution of our sample data will be closer to normal.II. The sampling model of the sample means will be closer to normal.III. The variability of the sample means will be greater.A. I and II onlyB. I onlyC. III onlyD. II and III onlyE. II only Me enfermaba con frecuencia. 8. bamos a la playa. 9. Tuvo por lo menos tres accidentes. 10. Me duele la garganta. 11. A menudo los fines de semana. 12. Cuando ramos pequeos which of the following is not an advantage of using functions. a. using functions makes reusing code easier. b. using functions makes programs easier to read. c. using functions abstracts away from detailed implementation. d. using functions makes program run faster. Find the slope of the following graph and enter your result in the empty box. if you reduce the smount of added sugar in a product the total carbs in the product You are sitting in a classroom next to the wall looking at the blackboard at the front of the room. The blackboard is 12 ftlong and starts 3 ft from the wall you are sitting next to. Show that your viewing angle isa=cot^-1 x/15 - cot^-1 x/3if you are a ft from the front wall. A user copies les from her desktop computer to a USB ash device and puts the device into her pocket. Which of the following security risks is most pressing?(a) Non-repudiation(b) Integrity(c) Availability(d) Condentiality serious and costly business scandals led to the passage of a federal statute known as the sarbanes-oxley act. one specific profession targeted by the act is: blank . The bakers at healthy bakery can make 190 bagels in 10 hours. How many bagels can they make in 17 hours? What is the rate per hour? select all conditions for a discrete probability distribution also referred to as a probability distribution Why is fermentation a required pathway for providing cellular energy when oxygen is unavailable or in insufficient supply? NAD is not regenerated by the electron transport chain. ATP production requires oxygen. NADH cannot be reduced to NAD Cells need either lactic acid or ethanol when oxygen is low, Lactic acid or ethanol can be used to generate oxygen.