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poizon [28]
4 years ago
15

A square with an area of 64 in2 is rotated to form a cylinder. What is the radius of the cylinder?

Mathematics
1 answer:
romanna [79]4 years ago
5 0
The area of the square is calculated through the equation,

                               Area = e²

where e is the measure of sides.
 
From the given,

                              64 = e²
                               e = sqrt 64 = 8 inches

The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.

                             radius = 8 inches / 2 = 4 inches

Thus, the radius of the cylinder is equal to <em>4 inches</em>. 
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lys-0071 [83]
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5 0
3 years ago
24<br> ,<br> Factor:<br> x²-9<br> A<br> (x + 3XX-3)<br> B<br> (x+3)2<br> с<br> (x-3)<br> (x+3)(x+3)
Katarina [22]

Answer:

(x-3)(x+3)

Step-by-step explanation:

We are given the expression \displaystyle \large{x^2-9}:—

To factor this expression, we have a formula for it which is <u>difference of two squares</u>:—

\displaystyle \large{a^2-b^2=(a+b)(a-b)}

You can also swap from \displaystyle \large{(a+b)(a-b)} to \displaystyle \large{(a-b)(a+b)} via multiplication property.

From the expression, factor using the formula above:—

\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}

Therefore, the factored expression is:—

\displaystyle \large{\boxed{(x-3)(x+3)}}

__________________________________________________________

If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!

5 0
2 years ago
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xxTIMURxx [149]

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The correct answer is B

5 0
4 years ago
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