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2 years ago

the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon

Mathematics

1 answer:

larisa86 [58]2 years ago

4 0

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.

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Read 2 more answers

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Step-by-step explanation:

Since we have given that

(a) $(4^3)(4^2)$

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$a^m\times a^n=a^{m+n}$

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(b) $(\dfrac{1}{4})^2(4^2)$

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As we know that

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(d) $[(8^{-1})(8^{\frac{2}{3}})]^3$

As we know that

$[(8^{-1})(8^{\frac{2}{3}})]^3\\\\=[8^{-1+\frac{2}{3}}]^3\\\\=[8^{\frac{-1}{3}}]^3\\\\=8^{-1}\\\\=\dfrac{1}{8}=0.125$

Hence, a) 1024, b) 1, c) 64 and d) 0.125.

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2 years ago