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3 years ago

Find the area of the regular polygon. Give the answer to the nearest tenth.

2 answers:

8 0

A regular dodecagon is a polygon with 12 equal sides.
Length of each side = 108/12 = 9 cm.

Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm

Area of each triangle = 9/2(16.79) = 75.57 cm^2

Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2

solniwko [45]3 years ago

7 0

Each side is 9 cm long

a 12 sided regular polygon is composed of 24 right triangles with one side

half the length of a side = 4.5 cm

the other side is 4.5 / tan (360/24) = 4.5 / tan(15)

A = 24 (1/2) 4.5^2 / tan(15) = 906.9 cm^2

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Ne4ueva [31]

Answer:

x ≈ 46.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = $\frac{opposite}{hypotenuse}$ = $\frac{OP}{NP}$ = $\frac{4}{5.5}$ , then

x = $sin^{-1}$ ( $\frac{4}{5.5}$ ) ≈ 46.7° ( to the nearest tenth )

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3 years ago

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VladimirAG [237]

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3 years ago

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3 years ago

Given these angles: m∠3 = 82°, m∠4 = 98°.

RSB [31]

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8 0

3 years ago

simi bought a study table for $9000 she sold it at a profit of 20 percent how much profit did she make? what is the selling pric

DedPeter [7]

Hey!

Simi bought study table = $ 9000

It means S.P = $9000

Profit = 20%

We know,

S.P = \frac{100+profit%}{100} \times C.P\\ S.P = \frac{100+20}{100} \times 9000\\ S.P = \frac{120}{100} \times 9000 \\ S.P = 10800

Now,

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