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4 years ago

How many sides does a regular (equal sides and equal angles) polygon have if each exterior angle measures 24°? # of sides =?

1 answer:

5 0

If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=156*n
180n-360=156n
24n=360
n=15
the polygon has 15 sides

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Satellite

sammy [17]

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

<h3>Force between two masses</h3>

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

$F = \frac{GMm}{R^2}$

where;

M is mass of Earth = 5.97 x 10²⁴ kg
m is mass of the satellite
R is the distance between the satellite and the Earth
G is universal gravitation constant

<h3>First missing quantity</h3>

The first missing quantity is force due to gravity, and it is calculated as follows;

$F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N$

<h3>Second missing quantity</h3>

The second missing quantity is distance between the statellite and the Earth,

$R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km$

Learn more about Newton's law here: brainly.com/question/3999427

6 0

2 years ago

Difference between negatives and positives. The average temperature in Neptune is -320 F while the average temperature in Venus

Vlada [557]

Answer:

1187 degrees is the difference

Step-by-step explanation:

8 0

4 years ago

A manager earned £42000 last year this year he got a 3.5% pay raise what is his new salary

stira [4]

You take 3.5% of £42,000 and add that to £42,000, so...
0.035 (aka 3.5%) x 42,000= 1,470+42,000= 43,470...
The manager now makes £43,470

5 0

3 years ago

A cube has a volume of 216 cubic feet. What is the length of an edge of this cube?

kupik [55]

Answer:

Step-by-step explanation:

a cube has sides of the same length hence its volume is obtain as cubed side.

we have the volume and we need the side:

$\sqrt[3]{216} =\sqrt[3]{3^{3} 2^{3} } = 3*2 = 6$

3 0

3 years ago

2+2=<br> A.4<br> B.2 <br> C.6<br> D. none of the above

expeople1 [14]

Answer:

A. 4

Step-by-step explanation:

lol

8 0

3 years ago

Read 2 more answers