Answer:
r = 18
Step-by-step explanation:
r -8 = 10
r -8 + 8 = 10 + 8
r = 18
Answer:
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Step-by-step explanation:
Answer: 4
Step-by-step explanation:
6 • 2/3 =
12/3 =
4
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by
It must be noted that the area of the square is calculated through the equation,
A = s²
where A is area and s is the measure of one side of the square.
To determine the measure of one side of the square, we simply have to get the square root of the area,
s = √A
Substituting the known value,
s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm.