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Answer:
<h2>The cup can hold 240π cubic centimeters of water.</h2>
Step-by-step explanation:
Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

Solving for
, we have

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.
The volume of a cylinder is defined as

Where
is the radius and
is the height. Replacing values, we have

Therefore, the cup can hold 240π cubic centimeters of water.
<u>Answer:</u>
The correct answer option is c.
.
<u>Step-by-step explanation:</u>
We are given an expression
and we are supposed to simplify it.
We can also write
as
.
We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:

Therefore, the correct answer option is c.
.
X=0 or all real numbers and the minimum value would be 5
This question is asking "Where does cosine equal

?"
Based on our unit circle values and the domain of the cos^{-1} function, we see that at 30 degrees, or

, cosine is equal to

.