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oee [108]
3 years ago
13

Calculate interior angle of a regular 15 sided polygon​

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = \frac{sum}{n} = \frac{2340}{15} = 156°

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If the sum of a number and eight is doubled, the result is three less than the number. Find the number.
nydimaria [60]

Answer:

n = -19

Step-by-step explanation:

2(n+8) = n - 3

2n + 16 = n - 3

2n = n - 19

n = - 19

8 0
2 years ago
A billboard is 27 feet high and casts a 36-foot shadow at noon. At the same time, a fir tree next to the billboard casts a 48-fo
Archy [21]

Proportion can be used to find the height = 0.75

Step-by-step explanation:

A billboard is 27 feet high and casts a 36-foot shadow at noon.

Height of billboard = 27 feet

Height of shadow of billboard = 36 feet

\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{27}{36}\\\\\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{3}{4}=0.75

A fir tree next to the billboard casts a 48-foot shadow.

Height of shadow of fir tree  = 48 foot

\texttt{Height of shadow of fir tree, H = }\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}\times 48

Proportion can be used to find the height = 0.75

5 0
2 years ago
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!!You survey 127 employees, and learn that the number one thing on their wish list is free
valina [46]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
(3^n*3^2)^4=3^28<br> Enter the value of n for the equation<br> N= ?
maksim [4K]
Hello! And thank you for your question!

Use Pemdas to get

3^(n+2)*4=3^28

Rewrite the equation:

3^4(n+2) = 3^28

Cancel the base of 3:

4(n + 2) = 28

Then divide 4 on both sides:

2 + n = 28/4

Simplify 28/4:

2 + n = 7

Subtract 2 on both sides:

n = 7 - 2

Finally simplify 7 - 2:

n = 5

Final Answer:

n = 5
8 0
2 years ago
Please answer correctly! I will mark you as Brainliest!
alukav5142 [94]

Answer:

1024pi/3

Step-by-step explanation:

to find the volume of a sphere you use the equation 4/3*pi*r^3

4/3*pi*8^3

4/3*pi*512

2048/3 pi

This is the volume of the whole sphere but we only need half so we can just divide by 2.

(2048/3 pi)/2

1024/3 pi

6 0
3 years ago
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