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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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Answer:

37%

Step-by-step explanation:

Given parameters:

Total number  = 142 million

Comparing number  = 52.52 million

Unknown:

What percent is the number  =?

Solution

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           = \frac{comparing number }{total number }  x 100

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Select all the expressions which are equivalent to three times the sum of six and five.
Zinaida [17]

Answer:

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Step-by-step explanation:

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3 years ago
Angela is shopping for pet supplies and needs to buy a kennel and several toys. At Paws R Us, she would pay $50.75 for the kenne
zhenek [66]

Answer: t>6

Step-by-step explanation:

Amount to pay = Cost of kennel + (Cost per toy )x (Number of toys)

Let t = the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.​

Given, At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy.

Amount to pay =  $(50.75 + 3.75t)

At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy.

Amount to pay =  $(43.25 + 5t)

According to the question , we have

50.75 + 3.75t < 43.25 + 5t

Subtract 3.75t from both sides

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Subtract  43.25 from both sides, we get

50.75 - 43.25 < 1.25 t

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Divide both sides by 1.25 we get

⇒   6<t

Hence, the required inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option:

t>6 .

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