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mestny [16]
3 years ago
12

What is the measure of each interior angle of a regular octagon ?

Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0

Answer: 135°

Step-by-step explanation: In this problem, we're asked to find the measure of  each interior angle of a regular octagon.

So let's use our formula for finding the measure of

each interior angle of a regular octagon which is \frac{180(n - 2)}{n}.

In this formula, <em>n</em> represents the

number of sides of the polygon.

Remember that an octagon is a polygon that has 8 sides

so we plug a 8 in for <em>n</em> and we have \frac{180(8 - 2)}{8}.

Simplifying across the top, (8 - 2) is 6so we have \frac{180(6)}{8}.

180(6) is 1,080 so we have \frac{1,080}{8} and

1,080 divided by 8 gives us 135.

So the measure of each interior angle of a regular octagon is 135°.

I have also attached my work below.

hodyreva [135]3 years ago
6 0

Answer:

135 degrees

Step-by-step explanation:

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2 years ago
Need please help with the answer
Sladkaya [172]

Step-by-step explanation:

the volume of a rotating solid out of an xy area in a certain interval is pi times the integral of that area squared (because we are emulating adding the volumes of cylinder slices) in that interval along the given axis.

if that area is defined as the difference between 2 curves, then that difference (of the squares) has to be integrated.

the "outer" curve is y = x² + 3 = R, because it has always the larger y values compared to y = 2x + 1 = r.

the volume of an outer cylinder slice is

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R² = (x²+3)² = x⁴ +6x² + 9

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the integral of (R² - r²)dx :

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in the interval of [0, 2] that gives us

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2 years ago
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horsena [70]

Answer:

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Step-by-step explanation:

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brilliants [131]
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3 years ago
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