Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

[tex]S=4\pi r^2[/tex]

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

[tex]\frac{d}{2}=r[/tex] Now we can have the equation in terms of diameter instead of radius. Rewriting:

[tex]S=4\pi(\frac{d}{2})^2[/tex] which simplifies to

[tex]S=4\pi(\frac{d^2}{4})[/tex] and a bit more to

[tex]S=\pi d^2[/tex] (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

[tex]\frac{dS}{dt}=\pi*2d\frac{dD}{dt}[/tex] Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for [tex]\frac{dD}{dt}[/tex], the rate at which the diameter is changing, when the diameter is 13. Filling in:

[tex]-3.8=\pi(2)(13)\frac{dD}{dt}[/tex] and solving for the rate at which the diameter is changing:

[tex]-\frac{3.8}{26\pi}=\frac{dD}{dt}[/tex] and divide to get

[tex]\frac{dD}{dt}=-.459\frac{cm}{min}[/tex] Obviously, the negative means that the diameter is decreasing.

Answer:

its perfectly correct you did good

Answer:

1120

Step-by-step explanation:

To find the possible number of steak dinners, you would multiply the number of choices for each part of the dinner. You would used combinations instead of permutations since the order of the toppings chosen or side dishes chosen do not matter. There are 5 choose 1 choices for types of steak, which is just 5. There are 8 choose 3 choices for side dishes, which is 56. There are 4 choose 3 choices for toppings, which is 4. 5*56*4 is 1120, so there are 1120 possible steak dinners.

Answer:

I think this answer is A.

Answer:

x not given

therefore no answer for x

Answer:

161 bags

Step-by-step explanation:

Since we need to know how many square feet a bag can cover, we need to convert the 1.8 square meters to feet. A meter is about 3 feet and 3.5 inches, so to find how many bags he needs we need to convert the bag into feet. First lets convert the meter into inches:

[tex](3*12)+3.5\\(36)+3.5 = 39.5[/tex]

Remember that a foot is 12 inches. Now, we need to multiply the 39.5 inches by 1.8 to find out how many square inches a bag holds.

[tex]39.5*1.8 = 71.1[/tex]

We need square feet though, so let's divide our 71.1 inches by 12 to get a foot measurement.

[tex]71.1/12=5.93[/tex]

A bag holds 5.93 square feet of mulch. Now, to figure out how many bags he needs, we need to divide 950 (total area to cover) by 5.93 (area each bag covers).

[tex]950/5.93=160.2[/tex]

Since Bill cant buy a fifth of a bag, we need to round up so he has enough. So, Bill needs 161 bags of mulch to cover his yard.

Answer:

A correlation shows strength and regression tells the pattern.

Step-by-step explanation:

• The differences between the results that demonstrate a correlation between two variables and results where a regression is run using two variables are as follows

1) the correlation is the measure of degree to which any two variables may vary together.

2) if both variables tend to increase or decrease together the correlation is said to be direct or positive.

3) the correlation gives the strength of relationship between two quantities

4) The regression gives the relationship in the form of an equation.

5) The regression investigates the dependence of the dependent variable on the independent variable.

6) it shows the relationship whether it is linear or curved or parabolic etc.

• I may record the ages and the blood pressure of the patients and run a correlation analysis which may not be positive as blood pressure does not always increase with age

• I may record the ages and the blood pressure of the patients and may want to run a regression analysis which will show the relationship of the patients suffering from high blood pressure and their ages whether it follows a similar pattern or not.

HOW TO SOLVE SYSTEMS OF EQUATIONS BY ELIMINATION

To solve systems of equations by elimination, we want to eliminate one of the variables. To do this, we want to cancel out a certain variable in both equations. For example, if you had 8x in one equation and -8 x in another, you could combine the two equations and the x would be gone!

THE SOLUTION

In our case, though, we don't have anything we can combine to cancel out the variables. But, what we can do is multiply the first equation by three. If we do this, now we have a 9x in the top and a -9x in the bottom. Then, we can solve for y!

SOLVING FOR Y

Multiply first equation by three

9x+6y=57

Combine top and bottom equations

14y=28

We divide both sides by 14.

y=2

SOLVING FOR X

Now, we can simply plug our y-value into one of the original equations and then solve for x.

3x+4=19

We subtract 28 from both sides.

3x=15

We divide both sides by 3.

x=5

Therefore, our solution is (5,2) or x=5 and y=2.

I hope that this helps! Have a wonderful day! :D

Answer:

x=5 and y=2.

Step-by-step explanation:

Step-by-step explanation:

9i√2

-18

so therefore the answer is 9i√2

=4x-2x=2x

=6-9=-3

=2x-3

Answer:

y>3/5

Step-by-step explanation:

3y+5 <10

3y<5

y>3/5

Answer:

[tex]\:3y+5<10\\3y+5-5<10-5\\3y<5\\\frac{3y}{3}<\frac{5}{3}\\y<\frac{5}{3}[/tex]

OAmalOHopeO

Answer:

y = -8/3, z = -1

Answer:

2.92

Step-by-step explanation:

Normal price

4 * 6.98 =27.92

Sale price

2 for 12.50   means 4 at 2* 12.50

2*12.50 = 25

Subtract

27.92-25=2.92

He saved 2.92

Answer:

Less than 90⁰

Step-by-step explaination:

If p is an acute angle then, p can be equal to any measurement less than 90⁰

It can be upto 89⁰

Answer:

0 < angle < 90

Step-by-step explanation:

Acute angles are between 0 and up to 90 degrees

Right angles are 90 degrees

Obtuse angles are greater than 90 degrees and less than 180 degrees

Answer:

B is the correct answer of your question.

I HOPE I HELP YOU....

Both lines are parallel so using the bottom line you are given angle 7 as being 80 degrees. Angle 5 and 7 form a straight line which is 180 degrees so angle 5 would be 180-80 = 100 degrees.

Angle 1 is the same as angle 5 so angle 1 is 100 degrees.

Answer: 100 degrees

Answer:

B. 100°

Step-by-step explanation:

Angles 1 and 5 are corresponding angles and congruent.

Angles 5 and 7 are a linear pair and supplementary angles, so their measures add to 180°.

m<5 + m<7 = 180°

m<5 + 80° = 180°

m<5 = 100°

m>1 = m<5

m<1 = 100°

Answer:

False

Step-by-step explanation:

If we consider x=1 then

2*1-8 = 10-1

2-8 =9

6 = 9 (which is impossible)

so false

We can determine that the original equation 2x - 8 = 10 - x is true when x = 6.

We have,

Simplify the equation:

2x - 8 = 10 - x

Combining like terms by adding x to both sides:

3x - 8 = 10

Now, to isolate the variable x, add 8 to both sides:

3x = 18

Finally, divide both sides of the equation by 3:

x = 6

By solving the equation, x = 6.

Therefore,

We can determine that the original equation 2x - 8 = 10 - x is true when x = 6.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

The height of the wall does the ladder reach to the nearest hundredth of the foot is 25.61 feet.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

Josue leans a 26 feet ladder against a wall so that it forms an angle of 80° with the ground.

The condition is shown in the diagram.

Then the height of the wall will be

[tex]\rm \dfrac{h }{26 } = sin 80 \\\\h \ \ = 26 \times sin 80\\\\h \ \ = 25.61 \ ft[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

d is the right answer because the coefficient of y is 3*(-1/3) which results -1 so d is the right answer

The coefficient of y in the given equation is 1. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3(2x -1/3y)=0.

Now, 6x-1/y=0

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Here, coefficient of y is 1.

Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that [tex]\mu = 80, \sigma = 6[/tex]

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 80}{6}[/tex]

[tex]X - 80 = 6*1.96[/tex]

[tex]X = 91.76[/tex]

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Answer:

Cost ratio of pens:pencils  =   9 : 4

Step-by-step explanation:

Pen  : Pencil

10/10 : 12/12

22.5 / 10  : 18 / 12

2.25 :  1.5 cost per pen : pencil

HC of 0.25 and 0.5 is 8

8 x 2.25 = 18:

1.5 x 8 = 12

Then place them under their denominator x 10 x 12

pens = 18/10 = 1.8

pencils = 12/12 = 1

HC of 1.8 and 1 is  5

1.8 x 5 = 9

1 x 5 = 5

Answer = 9 : 4

Answer:

The length=16cm and the width=8cm.

Step-by-step explanation:

Given that the length is twice the breadth or width of the rectangle

Let's assume that the breadth of the rectangle is x.

Thus the length is 2x.

Given perimeter=48cm

The formula for the perimeter of a rectangle is 2(l+b) where l is length and b is breadth.

2(x+2x)=48

(3x)=48/2

3x=24

x=8cm

2x=16cm

Step-by-step explanation:

length=2x

width=x

2x+x+2x+x=48

6x=48

6x÷6=48÷6

x=8

length=16

width=8

10(3+5)^2

10(8)^2

10(64)

=640

Answer:

The answer is "Option a".

Step-by-step explanation:

[tex]n= 93 \\\\p= 0.24\\\\\mu=?\\\\ \sigma=?\\\\[/tex]

Using the binomial distribution: [tex]\mu = n\times p = 93 \times 0.24 = 22.32\\\\\sigma = \sqrt{n \times p \times (1-p)}=\sqrt{93 \times 0.24 \times (1-0.24)}=4.1186[/tex]

In this the maximum value which is significantly​ low, [tex]\mu-2\sigma[/tex], and the minimum value which is significantly​ high, [tex]\mu+2\sigma[/tex], that is equal to:

[tex]\mu-2\sigma = 22.32 - 2(4.1186) = 14.0828 \approx 14.08\\\\\mu+2\sigma = 22.32 + 2(4.1186) = 30.5572 \approx 30.56[/tex]

Answer:

44.5 units squared

Step-by-step explanation:

First, separate the figure into two different shapes. You should get a rectangle and a triangle after doing this. Next, we'll work on the rectangle. Multiply 2 by 10, and you'll get the area of the rectangle, which would be 20 units squared. We can't multiply 3 by 2, as that would cause the triangle to have 4 sides rather than 3. A triangle can ONLY have 3 sides anyway, so always remember that. Next, we'll work on the triangle. Subtract 10 by 3, and you'll get 7. This will be the triangle's height, so the equation would be 7 X 7 divided by 2, which would be 24.5 units squared. Finally, add 24.5 and 20. You should get 44.5 units squared as your final answer.

So, the final answer for this problem would be 44.5 units squared.

Hope this helped!

Answer:

[tex]{ \tt{2 {p}^{2} {q}^{3} }} \\ = { \tt{ {2(3)}^{2} . {(1)}^{3} }} \\ = 18[/tex]

Answer:

1/2 ( a -8)

Step-by-step explanation:

1/2 a - 4

Factor out 1/2

1/2a - 1/2*8

1/2 ( a -8)

Answer:

[tex]\frac{1}{2}[/tex] (a - 8)

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] can be factored out of each term.

Answer:

I hope D option is write

I hope you help