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vesna_86 [32]
3 years ago
15

The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha

t is the perimeter of the base?
Mathematics
2 answers:
nadezda [96]3 years ago
4 0
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5

side^2 =240 * 0.72654 / 5

side^2 = <span> <span> <span> 174.3696 </span> </span> </span> / 5
side^2 = <span> <span> <span> 34.87392 </span>
</span></span>
side = <span> <span> <span> 5.9054144647 </span></span></span>
Pentagon Perimeter = <span> <span> <span> 5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter = 29.5270723235 </span> </span> </span>




Maksim231197 [3]3 years ago
4 0

Answer:

30

Step-by-step explanation:

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Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

Step-by-step explanation:

You mean unlike denominators and like denominators.

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Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

For example :

\frac{1}{5}+\frac{3}{4}

LCM for 5 and 4 is 20 : Now, divide by 5 and multiply by 1 for first fraction. 20 divide by 4 and multiply by 3 :

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Answer:

Step-by-step explanation:

2081.25 ; 2312.50 ; 2543.75 ; ..... 7500

a= 2081.25

d = 231.25

t_{n}= 7500

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