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morpeh [17]
3 years ago
9

Find the area of a regular decagon with perimeter 100 units. Show all work.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
A regular polygon has ten (10) equal sides ( since it is regular).
We are given with the perimeter value which is 100 units and the perimeter formula is P = 10a
Solving for a (the side measurement), we have:
100 = 10a
a= 100/10
a =10

We can now proceed in solving the area and the formula is shown below:
Area = 5/2 a√ (5+2√5)
Area = 5/2 * 10√(5+2√5)
Area = 76.94 square units

The answer is 96.94 square units.
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Answer:

\frac{-27}{2} = (-13)(\frac{1}{2})

Step-by-step explanation:

The given equation is 4 + 2/3 x = -5

Taking variable on one side and constants on other side, we get

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x = (\frac{3}{2})(-9) = \frac{-27}{2} = (-13)(\frac{1}{2}) = -13.5

The number in decimal form is given by -13.5

The number in fraction form is given as \frac{-27}{2} = (-13)(\frac{1}{2})

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Answer:

The answer is D.

Step-by-step explanation:

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