HELP ME FOR NUMBER 1 THROUGH 11

Answers

Answer 1

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The missing value is the height, and it's equal to 746 centimeters, approximately.

Step-by-step explanation:

The complete question is

Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 10,000π in. The radius is 16

A cylinder volume is defined by

$V= \pi r^(2) h$

Where $V=600,000 }cm^(3)$ and $r=16cm$ .

Replacing given values, we have

$600,000=\pi (16)^(2)h$

Solving for the height, we have

$h=(600,000)/(\pi 256) \approx (600,000)/(803.84) \approx 746$

Therefore, the missing value is the height, and it's equal to 746 centimeters, approximately.

Final answer:

To find the missing radius of a cylinder given its volume of 600,000 cm³, we use the formula r = √(V/π) assuming unit height, which upon calculation gives an approximate radius of 437 cm, rounded to the nearest whole number.

Explanation:

To find the missing radius of the cylinder when given the volume, we use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder. As we are given the volume and need to find the radius (r), we rearrange the formula to solve for r:

r = √(V/πh)

Since the height (h) is not provided in the question itself, we must assume that it is either known or that the cylinder is such that the volume and radius alone are sufficient to determine the missing dimension (possibly a cylinder with unit height). In such a case, the formula simplifies to: r = √(V/π).

Using the provided volume of 600,000 cm³, the calculation would be:

r = √(600,000 cm³/π)

This equation can be input into a calculator to find the numerical value of r. Let's proceed with this:

r ≈ √(600,000 cm³/3.14159)

r ≈ √(191,000)

r ≈ 437 cm

This calculation gives us the approximate value for the radius, rounded to the nearest whole number. However, it is crucial to have the height of the cylinder to make an accurate calculation. In the absence of the height, the solution would need to treat the cylinder as having a unit height or some other given measurement.

Learn more about cylinder volume here:

brainly.com/question/16788902

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A musician's hair was originally 3 inches long she asked her hair dresser to cut 5/6 of it off how many inches did she have cut off

Answers

ok so first we will make 3 into 6 parts so each part is .5 or half of 1. Then to get 5 parts of it we do .5×5=which is 2.5 which shows that the musician cut off 2 1/2 inches of hair.

Help meh PleaSeWhich does not show a direct variation between x and y?
A.y=4/x

B.y=0.5x

C.y= 7x

D.y=x/9

Answers

The formula for direct variation is y = kx where k ≠ 0

y = 9/x is an inverse relation

Rewrite using a single positive exponent.
7^4 * 7^-9

Answers

The expression $7^4 * 7^(-9)$ is equivalent to $1/7^(5)$ .

To rewrite the expression using a single positive exponent, we can use the properties of exponents.

Recall the property of exponents that says $a^m * a^n = a^(m + n)$ . This means that when you have the same base raised to different exponents and they are multiplied, you can add the exponents.

$7^4 * 7^(-9) = 7^(4 - 9)$

Now, simplify the exponent:

$7^(4 - 9) = 7^(-5)$

Recall another property of exponents that states $a^(-n) = 1 / a^n$ . This means that when you have a negative exponent, you can rewrite it as the reciprocal of the base raised to the positive exponent.