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3 years ago

The measure of an exterior angle of a regular octagon is x + 10. Find x.

Mathematics

1 answer:

elena-s [515]3 years ago

3 0

Answer:

x = 35

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Then

1 exterior angle = 360° ÷ 8 = 45° , so

x + 10 = 45 ( subtract 10 from both sides )

x = 35

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A snowball has a radius of 7cm. What is the volume of the snowball?

BabaBlast [244]

Answer:

The volume is 1436.8 $in^2$ .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

$V = \frac{4}{3} \pi r^3$

-Use the radius for the formula:

$V = \frac{4}{3} \pi 7^3$

-Then, you solve:

$V = \frac{4}{3} \pi 7^3$

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7 0

3 years ago

A tiny but horrible alien is standing at the top of the Empire State Building (which is

Leto [7]

Answer:

87.7 degrees.

Step-by-step explanation:

In triangle ABC, attached.

The height of the building |AB|=443 meters

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We want to determine the angle at C.

Now,

$Tan C=\dfrac{|AB|}{|BC|} \\C=arctan (\dfrac{|AB|}{|BC|} )\\=arctan (\dfrac{443}{18} )\\=87.67^\circ\\\approx 87.7^\circ $(correct to the nearest tenth)$

The agent should sfoot his laser gun at an angle of 87.7 degrees.

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3 years ago

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valina [46]

Answer:

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2 years ago