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SVEN [57.7K]
4 years ago
9

The sum of the interior angles of a polygon is 3960 degrees find the size of its exterior angles ​

Mathematics
1 answer:
strojnjashka [21]4 years ago
5 0

Answer:

4320 degrees

Step-by-step explanation:

If interior angles are 3960 degrees then there are 24 sides. If polygon is regular, size of each exterior angle is 15 degrees.

A polygon has as many pairs of interior and exterior as number of its sides. Further each pair of exterior and interior add up to

180 degrees.

Sum of all the exterior angles of any polygon is

360 degrees

As sum of all the interior angles of the polygon is

3960 degrees

Sum of all pairs of exterior and interior angles is

3960 degrees + 360degrees = 4320 degrees

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What is the principal square root of 16?<br> O A. 2<br> O B. -4<br> O C. -2<br> O D. 4
KATRIN_1 [288]

Answer:

D. 4

Step-by-step explanation:

We know that the square of (+4) is 16 and also for (—4) is 16. We normally takes interest in positive square value for a square root. Therefore, The principal square root of 16 is 4

7 0
3 years ago
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Every kid in Mr. Levans's 3rd grade class made a valentine for every kid in the class, including him- or herself. If the class m
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3 years ago
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A rectagle has a height of 5x and a width of x+2<br><br>area=???​
astra-53 [7]

Answer: Area=5x^2+10x

Step-by-step explanation:

The area of a rectangle:

a=h×w

a=5x(x+2)

a=5x × x+5x × 2

a=5x^2+10x

-Result:

a=5x^2+10x

5 0
3 years ago
EXERC
eimsori [14]

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

<em>Volume of the shape = 551.3212cm³</em>

7 0
3 years ago
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
saul85 [17]

Answer:

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Step-by-step explanation:

Add the expressions.

2x^2 - 13x + 12 + 6x^2 - 13x + 21 =

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= 8x^2 - 26x + 33

8 0
3 years ago
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