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gogolik [260]
3 years ago
5

What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer

Find out the  volume of a cylinder .

To prove

Formula

Volume\ of\ cylinder = \pi r^{2}h

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

Radius = \frac{Diameter}{2}

Radius = \frac{12}{2}

Radius = 6 in

\pi = 3.14

put all the values in the formula

Volume\ of\ cylinder = 3.14\times 6\times 6\times 7

                                          = 791.28 in³

Therefore the volume of the cylinder is 791 .28 in³ .

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Step-by-step explanation:

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Hence, option A 85° is the correct answer.

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2 years ago
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Rite 18.725 as a mixed number in simplest form.
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so, your answer is 18 29/40

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3 years ago
The following scatter plot represents the height of a basketball in seconds during a free throw shot.
zavuch27 [327]

The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.

<h3>What is a quadratic equation?</h3>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The following scatter plot represents the height of a basketball in seconds during a free throw shot.

(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.

(b) Write a function

We know that the quadratic equation is given as ax² + bx + c = y

This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have

\rm a + b + c = 9.3  \ \ \  \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \  \ ...2\\\\9a + 3b + c = 14 \  \ \ \ \ \ ...3

On solving the equations 1, 2, and 3. Then we have

a = -1.25, b = 7.35, and c = 3.2

Then the quadratic equation will be

y = -1.25x² + 7.35x + 3.2

More about the quadratic equation link is given below.

brainly.com/question/2263981

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4 0
2 years ago
Please help 20 points!!!!!
skad [1K]

Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,

(a) The sample means of the backpacks are: 6.375,6.375,6.625

(b) Range of sample means: 0.25

(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.

For the first sample, mean= 6.375

For the second sample, mean= 6.375

For the third sample, mean= 6.625

Range of sample means=Maximum Mean- Minimum Mean

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The students will estimate the average backpack weight of their classmates using sample means, the true statement is:

The closer the range of the sample means is to 0, the more confident they can be in their estimate.

Learn more about range here:

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6 0
1 year ago
If p varies inversely with q, and p = 2 when q = 1, find the<br>equation that relates p and q.​
NeTakaya

Answer:

p = \frac{2}{q}

Step-by-step explanation:

Given that p varies inversely with q then the equation relating them is

p = \frac{k}{q} ← k is the constant of variation

To find k use the condition p = 2 when q = 1, thus

k = pq = 2 × 1 = 2

p = \frac{2}{q} ← equation of variation

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3 years ago
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