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tatuchka [14]
3 years ago
9

The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides does the polygon have? please answer

it step by step​
Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

10

Step-by-step explanation:

We know that interior plus exterior angles add to 180.

1/5 of 180 = 36

36 degrees = exterior angles

180-36=interior angles

180-36=144

To find the number of sides of a polygon you have to do 360/exterior angles

360/36=10

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Please help I’ll mark brainliest
denpristay [2]

Answer:

166.27 m2

Step-by-step explanation:

area of hexagon = \frac{3*\sqrt{3} }{2}*a^{2} where a = length of 1 side

this hexagon is made of 6 equivalent triangle

consider ABC triangle

let AC length be x

<em>AB = 2 * AC = 2x = a</em>

bc^{2} = ab^{2} - ac^{2} \\(4\sqrt{3})^{2} =(2x)^{2}  - x^{2} \\48=3*x^{2}\\ 16=x^{2} \\x=4

Hence a = 8

<u>hence area of hexagon = </u>\frac{3*\sqrt{3} }{2}<u>*</u>a^{2}<u> =  </u>\frac{3*\sqrt{3} }{2}<u> * </u>8^{2}<u> = 166.27 m2</u>

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3 years ago
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Bad White [126]
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2 years ago
Two standard number cubes are thrown, one after the other. What is the probability that the first cube lands showing a 4 or grea
IgorC [24]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Aneli [31]

Answer:

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Step-by-step explanation:

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