8. Find the area of the following triangle.
h=8m
b= 6.5

8. Find The Area Of The Following Triangle.h=8mb= 6.5

Answers

Answer 1

Answer:

26m^2

Step-by-step explanation:

Area of triangle=1/2b*h

We have,

b=6.5

h=8m

Now,

Area=1/2b*h=1/2*6.5*8=26m^2

Answer 2
26 step by step——->8x6.5/2 =26

Related Questions

eight cards are drawn from a standard deck of 52 cards. how many hands off with cards contain exactly three queens and three jacks g

Answers

Answer:

15,136 hands off with cards contain exactly three queens and three jacks.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Standard deck:

4 queens and 4 jacks.

The other 52 - 8 = 44 cards are neither queens nor jacks.

Wow many hands off with cards contain exactly three queens and three jacks?

3 queens from a set of 4.

3 jacks from a set of 4.

2 other cards(not queens neither jacks) from the other 44. So

[tex]C_{4,3}C_{4,3}C_{44,2} = \frac{4!}{1!3!} \times \frac{4!}{1!3!} \frac{44!}{2!42!} = 4*4*22*43 = 15136[/tex]

15,136 hands off with cards contain exactly three queens and three jacks.

Which of the statements is true for the two division problems below? A: (x^2-3x-18)/(x-6) B. (x^3-x^2-5x-3)/(x^2+2x+1)

Answers

Answer:

B is the right statement

Answer:

add the answer choices

Step-by-step explanation:

a test has 20 multiple-choice questions with 5 choices each, followed by 35 true/false questions. if a student guesses on each question, how many ways can he answer the questions on the test

Answers

Answer

There are 170 ways the student can answer the test.

Explanation

If there are 20 multiple-choice questions with 5 choices each, the student has 100 choices. The first question has 5 choices to pick from. The second has 5 as well. So does the third. Hopefully now you realize that you have to multiply the number of choices by the number of questions.

The same thing goes with the true/false questions. There are 2 choices for each true/false question, and there are 35 of those. 35×2 is 70. There are 70 ways to answer on the true/false questions.

Now combine the number of choices on the first part and the second part; 100+70 is 170.

In Riverview Middle school, 20 percent of the students participate in an after school club for every 100 students how many are in an afterschool club

Answers

Answer:

What is the diferentes between and red bolos celos ?

Step-by-step explanation:

20

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

(5,4) (3,7) find the equation for A+b=C

Answers

Answer:

Step-by-step explanation:

Slope of line through (5,4) and (3,7) = (7-4)/(3-5) = -1.5

Point-slope equation of line:

y-4 = -1.5(x-5)

Convert equation to standard form:

y-4 = -1.5x + 7.5

1.5x + y = 11.5

3x +2y = 23

Our soccer team lost 9 games this season. That was 3/8 of all they played. How many games did they play this season?​

Answers

Answer:

15

Step-by-step explanation:

3/8 = 9

9÷3= 3

the remainder of 3/8 is 5/8 so

5x3=15

Match each set of vertices with the type of triangle they form.
A(2, 0), B(3, 2), C(5, 1)
obtuse scalene triangle
A(4, 2), B(6, 2), C(5, 3.73)
isosceles right triangle
A(-5, 2), B(-4, 4), C(-2, 2)
right triangle
A(-3, 1), B(-3, 4), C(-1, 1)
acute scalene triangle
A(-4, 2), B(-2, 4), C(-1, 4)

Answers

9514 1404 393

Answer:

rightacuteobtuserightobtuse

Step-by-step explanation:

When the same problem is repeated, I like to solve it using a spreadsheet. That way, the formulas only need to be entered once, and the arithmetic is (almost) guaranteed to be done correctly.

A "form factor" computed from side lengths can be used to determine the type of triangle. Where 'c' is the long side, that factor can be computed as ...

  f = a² +b² -c²

and interpreted as follows:

f = 0, right trianglef > 0, acute trianglef < 0, obtuse triangle

(The sign of f matches the sign of the cosine of the largest angle computed using the law of cosines.)

Of course, a right triangle can also be identified by looking at the slopes of the sides of the triangle. If any pair of slopes has a product that is -1, or if any pair is 0 and "undefined", then the triangle will be a right triangle.

__

The attached spreadsheet is designed to accommodate a number of different problem requirements. It shows both side lengths and slopes, and it shows the "form factor" as described above. The final classification is shown at far right.

Which of the binomials below is a factor of this trinomial?
x^2+8x+16

Answers

Answer:  x+4

This is because the given expression factors to (x+4)(x+4), which condenses to (x+4)^2.

To factor, think of two numbers that A) multiply to 16, and B) add to 8. Those values would be 4 and 4

4+4 = 8

4*4 = 16

So that's how we end up with (x+4)(x+4). You can use the FOIL rule to expand that out and get x^2+8x+16 again to help verify you have the correct factorization.

rectangle a is dilated to form rectangle b. what is the scale factor used .​

Answers

Answer:

5

Step-by-step explanation:

The scale factor is 5. Answered by Gauthmath

The length and the width of rectangle a are expanded 5 times respectively.

What is a scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

According to the question

Rectangle a is dilated to form rectangle b.

By division operation, the ratio

[tex]\frac{20}{4} =\frac{30}{6} =5[/tex]

The length and the width of rectangle a are expanded 5 times respectively.

Find out more information about scale factor here

brainly.com/question/2839518

#SPJ2

If p = 1.7 % and n = 200, is the Poisson distribution a reasonable approximation of the binomial
distribution?
er
yes
no
What is the mean of this binomial distribution (and the mean of the Poisson distribution used to
approximate it)?
mean -
(Round to 1 decimal place)
What is the actual mean of this binomial distribution?
standard deviation (actual) =
(Round to 2 decimal places)
What is the standard deviation for the Poisson distribution?
standard deviation (approximate) -
(Round to 2 decimal places)
Are these values in reasonable agreement?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

bc i know

Answer:

Trong lý thuyết xác suất và thống kê, Phân phối Poisson (phân phối Poa-dông) là một phân phối xác suất rời rạc. Nó khác với các phân phối xác suất rời rạc khác ở chỗ thông tin cho biết không phải là xác suất để một sự kiện (event) xảy ra (thành công) trong một lần thử như trong phân phối Bernoulli, hay là số lần mà sự kiện đó xảy ra trong n lần thử như trong phân phối nhị thức, mà chính là trung bình số lần xảy ra thành công của một sự kiện trong một khoảng thời gian nhất định. Giá trị trung bình này được gọi là lamda, ký hiệu là {\displaystyle \lambda }\lambda .

Phân phối Poisson còn được dùng cho khoảng mà đơn vị khác thời gian như: khoảng cách, diện tích hay thể tích. Một ví dụ cổ điển là sự phân rã hạt nhân của các nguyên tử.

Phân phối này được tìm ra bởi nhà toán học Siméon-Denis Poisson (1781–1840) và đã được xuất bản cùng với lý thuyết xác suất của ông, vào năm 1838 với tựa đề Recherches sur la probabilité des jugements en matières criminelles et matière civile ("Research on the Probability of Judgments in Criminal and Civil Matters"). Theo đó, nếu xem xét một biến ngẫu nhiên N nào đó, và đếm số lần xuất hiện (rời rạc) của nó trong một khoảng thời gian cho trước. Nếu giá trị kì vọng (hay số lần trung bình mà biến ngẫu nhiên đó xảy ra trong khoảng thời gian đó là λ, thì xác suất để cũng chính sự kiện đó xảy ra k lần (k là số nguyên không âm, k = 0, 1, 2,...) sẽ được tính theo công thức

{\displaystyle f(k;\lambda )={\frac {\lambda ^{k}e^{-\lambda }}{k!}},\,\!}{\displaystyle f(k;\lambda )={\frac {\lambda ^{k}e^{-\lambda }}{k!}},\,\!}

Step-by-step explanation:

Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^4, y=1 and the y-axis and whose cross-sections perpendicular to the x axis are semicircles.

Answers

The base of the solid - call it B - is the set of points

B = {(x, y) : 0 ≤ x ≤ 1 and x ⁴ ≤ y ≤ 1}

Recall the area of a circle with radius r is πr ²; in terms of the diameter d = 2r, the area is π (d/2)² = π/4 d ². Then the area of a semicircle with the same diamater is half of this, π/8 d ².

Cross sections of the solid in question are semicircles arranged perpendicular to the x-axis, which means the diameters of each cross section corresponds to the vertical distance between y = x ⁴ and y = 1 for any given values of x between 0 and 1. So d = 1 - x ⁴, which makes the area of each cross section come out to π/8 (1 - x ⁴)².

Split up the solid into very thin cross sections with "base" area π/8 (1 - x ⁴)² and thickness ∆x. Take the sum of these half-cylinders' volumes, then let ∆x converge to 0. In short, we get the total volume by integrating,

[tex]\displaystyle \int_0^1\frac\pi8(1-x^4)^2\,\mathrm dx = \frac\pi8\int_0^1(1-2x^4+x^8)\,\mathrm dx = \boxed{\frac{4\pi}{45}}[/tex]

Write the equation of a line in the slope-intercept form that has a slope of 4
and contains the point (4, 12).

Answers

Answer:

The equation of the point (4, 12) is y=4x+12

While planning a hiking trip, you examine a map of the trail you are going on hike. The scale on the map shows that 2 inches represents 5 miles.

If the trail measures 12 inches on the map, how long is the trail?

Answers

Answer:

30 miles

Step-by-step explanation:

Given that :

Scale = 2 inches represents 5 miles

This means that 2 inches in the map equals to 5 miles on ground ;

Hence, if the trail measures 12 inches on the map, the length on ground will be ; x

2 inches = 5 miles

12 inches = x miles

Cross multiply :

2x = (12 * 5)

2x = 60

x = 60 / 2

x = 30 miles

If p = 1/2 and q = 4; evaluate 3p2q+pq2​

Answers

Answer:

11

Step-by-step explanation:

3p²q+pq²=3×1/4×4+1/2×16=3+8=11

a sequence of numbers is given by 25,30,35..............,300. find the number of terms in the sequence​

Answers

Answer:

56

Step-by-step explanation:

clearly, the sequence is built by adding 5 for every new term.

so, an = an-1 + 5

a1 = 25 (the starting value)

a2 = a1 + 5 = 25 + 5 = 30

a3 = a2 + 5 = a1 + 5 + 5 = a1 + 2×5 = 25 + 10 = 35

...

an = an-1 + 5 = a1 + (n-1)×5

now, we know, the last term is 300.

when we determine for which n we get an = 300, we know that n is the number of terms in the sequence.

so,

300 = a1 + (n-1)×5 = 25 + 5n - 5 = 20 + 5n

280 = 5n

n = 56

a56 = 300

so, we have 56 terms in this sequence

Answer:

56

Step-by-step explanation:

nth term = a+d(n-1) =25+5(n-1) = 25+5n-5 = 20+5n

300 = 20 + 5n

5n = 280

n = 56

since 300 is the last term in the sequence, the total number would be 36

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→[infinity] ln(5x) 5x Step 1 As x → [infinity], ln(5x) → and 5x → .

Answers

Answer:

[tex]\lim_{x \to \infty} \frac{ln(5x)}{5x} = \lim_{x \to \infty} \frac{1/x}{5} = \lim_{x \to \infty} \frac{1}{5x} = 0[/tex]

Step-by-step explanation:

L'Hopital's rule says that, if both numerator and denominator diverge, then we can look at the limit of the derivates.

Here we have:

[tex]\lim_{x \to \infty} \frac{ln(5x)}{5x}[/tex]

The numerator is ln(5x) and when x tends to infinity, this goes to infinity

the denominator is 5x, and when x tends to infinity, this goes to inifinity

So both numerator and denominator diverge to infinity when x tends to infinity.

Then we can use L'Hopithal's rule.

The numerator is:

f(x) = Ln(5x)

then:

f'(x) = df(x)/dx = 1/x

and the denominator is:

g(x) = 5*x

then:

g'(x) = 5

So, if we use L'Hopithal's rule we get:

[tex]\lim_{x \to \infty} \frac{ln(5x)}{5x} = \lim_{x \to \infty} \frac{1/x}{5} = \lim_{x \to \infty} \frac{1}{5x} = 0[/tex]

(2/3)^x-1=27/8, find x. Please add a step-by-step explanation.

[tex]( \frac{2}{3} ) {x - 1 = \frac{27}{8} }^{?} [/tex]

Answers

so basically after doing all the algebra, you will have to use the log function to solve. rearranging things and you will get the log expression that I obtained, then solve it using the change of base formula.

A bag of candy has 21 orange, 18 red, and 10 yellow candies. What is the probability that an orange will be drawn first and then a red (without replacement)?

Answers

Answer:

9/56

Step-by-step explanation:

There are:

21 orange candies18 red candies10 yellow candies

Total number:

21 + 18 + 10 = 49

Required probability is:

P(o, r) = 21/49*18/48 = 9/56

Total candies

21+18+1049

After 1 replacement

49-1=48

So

P(candy,red)

21/49×18/489/56

Find the interval in which f(x) = 3x2 - 2x is decreasing.

Answers

Answer:

Option (3)

Step-by-step explanation:

Given function is,

f(x) = 3x² - 2x

     = [tex]3(x^{2} -\frac{2}{3}x)[/tex]

     = [tex]3(x^{2} -\frac{2}{3}x+\frac{1}{9}-\frac{1}{9})[/tex]

     = [tex]3(x^{2}-\frac{2}{3}x+\frac{1}{9})-\frac{1}{3}[/tex]

     = [tex]3(x-\frac{1}{3})^2-\frac{1}{3}[/tex]

Vertex of the parabola → [tex](\frac{1}{3},-\frac{1}{3})[/tex]

Here, leading coefficient is positive (+3),

Therefore, parabola will open upwards.

In a parabola opening upwards function decreases from negative infinity to the x value of the vertex.

Function will decrease in the interval (-∞, [tex]\frac{1}{3}[/tex]).

Option (3) will be the answer.

The ages of a group of 142 randomly selected adult females have a standard deviation of 18.1 years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let σ=18.1 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students? Assume that we want 99​% confidence that the sample mean is within​ one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general​ population? The required sample size is

Answers

Answer:

Start with the formula for Z:

Z = (x-µ)/(σ/√n)

We want the sample mean to be within one-half year of the population mean, so we set x-µ=0.5. We are looking for a 99% confidence interval, so we set Z=2.7578. We are told to use σ=18.1. Plugging those values into the formula, we get:

2.5758 = 0.5(18.1/√n)

We can rearrange to solve for n:

((2.5758-18.1)/0.5)2 = n

Plugging that into our calculator, we get n = 964.003. Since we can't have a fraction of a person in our sample, it would be safest to round up to n=965. (But since .003 is so small, I'd also accept 964 as an answer.)Step-by-step explanation:

The required sample size for the given population distribution is; n = 8696 female ages

We are given;

Standard deviation; σ = 18.1

Confidence level; CL = 99%

Now, formula to find the margin of error is;

E = z(σ/√n)

Where;

E is margin of error

z is critical value at confidence level

σ is standard deviation

n is required sample size

Now we are told that the sample mean is within one-half year of the population mean.

Thus;

E = 0.5

z value at 99% Confidence level is;

z = 2.576

Thus, Making n the subject of the formula is;

n = (zσ/E)²

n = (2.576 × 18.1/0.5)²

n = 8695.78

Approximating to a whole number gives;

n = 8696 female ages

Read more about margin of error at; https://brainly.com/question/6650225

Consider the function z(x,y) describing the paraboloid \[z = (2x - y)^2 - 2y^2 - 3y.\]Archimedes and Brahmagupta are playing a game. Archimedes first chooses $x.$ Afterwards, Brahmagupta chooses $y.$ Archimedes wishes to minimize $z$ while Brahmagupta wishes to maximize $z.$ Assuming that Brahmagupta will play optimally, what value of $x$ should Archimedes choose?

Answers

Answer: -3/8

Step-by-step explanation:

Expanding z we get  

z = 4x^2 - 4xy + y^2 - 2y^2 - 3y

  = -y^2 - (4x + 3) y + 4x^2.

After Archimedes chooses x, Brahmagupta will choose

y=-(4x+3/2) in order to maximize z

Then  

z=-((-4x+3)/2)^2 -(4x+3)(-4x+3)/2)^2)+4x^2

z=8x^2+6x+9/4

To minimize this expression, Archimedes should choose x=-3/8

The coordinates of three points are A(- 1, - 3) , B(2, 3) and C(6, k) . If AB is perpendicular to BC find (i) the value of k, (ii) the gradient of AC (iii) the acute angle that AC makes with the x-axis.​

Answers

9514 1404 393

Answer:

  (i) k = 1

  (ii) 4/7

  (iii) arctan(4/7) ≈ 29.7°

Step-by-step explanation:

(i) A graph of the given points is helpful. It shows us the slope of AB is ...

  mAB = rise/run = 2/1 = 2

so the slope of BC must be the opposite reciprocal, -1/2.

Point C is 6-2 = 4 units to the right of point B, so will be (-1/2)(4) = -2 units from point B in the vertical direction. That is, ...

  k = 3 -2

  k = 1

__

(ii) The gradient of AC is found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(6 -(-1))

  mAC = 4/7

__

(iii) The angle that line AC makes with the +x axis is the arctangent of the slope:

  arctan(4/7) ≈ 29.7° . . . angle between AC and +x axis

Mr Gardner is making 6 treat bags. He has 185 chocolate-covered raisins to share evenly among the treat bags.

Answers

Answer:

✎There will be 30 Chocolate-Covered raisins in each bag.

✎ And 5 Remaining.

Step-by-step explanation:

Take 185 and divide it by 6 and you should get 30 per bag with a remainder of 5 :)

A) 30 chocolate covered raisins will be in each bag.

B) 5 chocolate covered raisins will be left over

See the photo attached to see the long division.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

A town recently dismissed 8 employees in order to meet their new budget reductions. The town had 9 employees over 50 years of age and 16 under 50. If the dismissed employees were selected at random, what is the probability that at least 7 employees were over 50? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

The probability that at least 7 employees were over 50 is 0.0073%.

Step-by-step explanation:

Given that a town recently dismissed 8 employees in order to meet their new budget reductions, and the town had 9 employees over 50 years of age and 16 under 50, if the dismissed employees were selected at random, to determine what is the probability that at least 7 employees were over 50, the following calculation must be performed:

9/25 x 8/24 x 7/23 x 6/22 x 5/21 x 4/20 x 3/19 = X

0.36 x 0.33 x 0.304 x 0.272 x 0.238 x 0.2 x 0.157 = X

0.000073 = X

100X = 0.0073

Therefore, the probability that at least 7 employees were over 50 is 0.0073%.

Find the volume of this square based pyramid 8cm 6cm 6cm

Answers

Answer:

96cm3

Step-by-step explanation:

formula is

v=1/3×area of the base×height

area of base which is a square=l×l

which is equal to 6×6=36

therefore

v=1/3×(6×6)×8

=96cm3

I hope it helps

You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your answer to three decimal places.

Answers

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes                            X                                 P(X)

(1,1)                                          1                                 1/16

(1,2),(2,1),(2,2)                                   2                        3/16

(1,3),(2,3),(3,1),(3,2),(3,3)                    3                           5/16  

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4)    4                            7/16

Using the probability formula

[tex]P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}[/tex]

Now,

[tex]E(X)=\sum_{i=1}^{n}x_iP(x_i)[/tex]

[tex]E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)[/tex]

[tex]E(x)=\frac{1+6+15+28}{16}[/tex]

[tex]E(x)=\frac{50}{16}=3.125[/tex]

in one particular suburb slacks have been reduced to $36. This price is at 90% of the original price for slacks. Given this what is the original price of the slacks

Answers

$40
40*90/100 = 36
You just have to be careful with the rest of the problem

Translate To An Algebraic Expression:

S% of 1/r

Answers

Answer:

S/100r

Step-by-step explanation:

S% of 1/r = (1/r x S) : 100

(1/r x S) : 100

S/r : 100

S/100r

S/100r







Have a great day! Stay safe. Hope it helped

Please helpppp me I really confused

Answers

Answer:

The answer would be D

Step-by-step explanation:

This is a piecewise function, meaning that it is split into two parts. The right side is an exponential and that part is greater than one, the left side is a line less than or equal to one. The only equation that matches the criteria for that is D.

porfavor se los agradeceria mucho y de corazon :D

Answers

Answer:

1=2p+3

2=

Step-by-step explanation:

Other Questions
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