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Mazyrski [523]
3 years ago
9

If the measure of one interior angle of a regular polygon is 156° , how many sides does it have?

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

<em>The polygon has 15 sides</em>

Step-by-step explanation:

<u>Angles in a Regular Polygon</u>

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that in a regular polygon, each angle measures

\displaystyle \frac{180(n-2)}{n}

The regular polygon's interior angle is 156°, thus

\displaystyle \frac{180(n-2)}{n}=156

Multiply by n:

180(n-2)=156n

Operate:

180n-360=156n

Reducing:

24n=360

Solving:

n=15

The polygon has 15 sides

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4/3

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3 years ago
Toyota campy sold 20,600 in 2008. percent change is 1.2%. how many sold in 2009?
Artyom0805 [142]
So 20600=100%
in 2009=1.2% change from 100%

not specific whether percent change is up or down so solve fo r1.2%
d
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'of' means multiply
20600 times 0.012=276.2

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6 0
3 years ago
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Answer:

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5 0
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There is a bowling ball with a diameter of 216 mm and a baseball with a diameter of 74 mm. Find how many times greater the volum
zmey [24]
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Sphere Volume   = <span>  4/3 • <span>π <span>• r³
bowling ball volume = 4/3 * PI * 108^3
</span></span></span><span>bowling ball volume = 5.2767e+6
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baseball radius = 37 mm
baseball volume = </span>4/3 * PI * 37^3
</span><span><span>baseball volume = 4/3 * PI * 37^3
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bowling ball greater than baseball by a factor of:
</span>
5,276,669 / <span>212,174 = </span> <span> <span> <span> 24.8694450477 </span> </span> </span>
answer is D




6 0
3 years ago
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