
<u><em>Step-by-step explanation:</em></u>
- Since the triangle is right use the tangent ratio to solve for x

- Multiply both sides by
x ×
( divide both sides by
)
x = ≈ ( nearest tenth )
Answer:
the volume of the pipe is 649.98 cubic inches.
Step-by-step explanation:
We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.
We will use volume of hollow cylinder formula to solve our given problem.

where,
R = Radius of external cylinder,
r = Radius of internal cylinder.
h = Height of cylinder.
substituting our given values in above formula, we will get:

Therefore, the volume of the pipe is 649.98 cubic inches.
Answer: only, domain, range, f(x)
Step-by-step explanation:
Problem 1: -5^2 + 10^2
Work:
-5^2 + 10^2—> (-5 x -5) + (10 x 10) —> 25 + 100 = 125
Answer:
125
Problem 2: (2 x (-5) x 3) + 3^3
Work:
(2 x (-5) x 3) + 3^3 > (-25 x 3) + 3^3 —> -75 + 3^3 —> -75 + 27 —> 48
Answer:
48
The answer is rational, because this number can be written as a over b