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Tresset [83]
3 years ago
6

ANSWER ASAP PLEASE!!!

Mathematics
1 answer:
ioda3 years ago
4 0

Answer: 5/3

Step-by-step explanation:

(3/5)x = 12

(5/3)(3/5)x = (5/3)12

x = 20

Therefore, choose Option D: 5/3

Hope I helped! <3

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sp2606 [1]
The volume of a prsm is given by the area of the base multiplied by the height.

Given a <span>pentagonal prism with a perpendicular distance of 14 units between the bases and a volume of 840 cubic units. This means that the height of the prism is 14 units.

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Assuming that the pentagonal base is regular.
Area of the pentagon base is given by
A= \frac{1}{4}  \sqrt{5(5+2 \sqrt{5}) } a^2
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60= \frac{1}{4} \sqrt{5(5+2 \sqrt{5}) } a^2 \\  \\ \sqrt{5(5+2 \sqrt{5}) } a^2=240 \\  \\ a^2= \frac{240}{\sqrt{5(5+2 \sqrt{5}) }} =34.8740 \\  \\ a=5.9054

Perimeter of a pentagon is given by 5a
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Therefore,. the perimeter of the base of the pentagonal prism is given by 5 x 5.9054 = 29.5 units.
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