MATHEMATICS HIGH SCHOOL

Each exterior angle of a regular polygon is 9°Calculate the number of sides of the polygon​

Answers

Answer 1
Answer:

Answer:

40

Step-by-step explanation:

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

Divide this by the value of 1 exterior angle to find the number of sides n

n = 360 ÷ 9 = 40
Answer 2
Answer:

Answer:

Required Answer:-

Let the number of sides=x

  • Each angle measures 9°

As we know that in a polygon

{\boxed{\sf Sum\;of\:exterior\:angles=360°}}

  • Substitute the values

{:}\longrightarrow\sf 9x=360

{:}\longrightarrow\sf x={\frac {360}{9}}

{:}\longrightarrow\sf x=40

\thereforeNumber of sides=40.

Related Questions

Help i dont understand this.
if usain bolt ran the 100 meter dash in 9.58 seconds. if he ran at a constaint rate how many meters did he run in 3 seconds
The length of the sides of a square are s inches long. A rectangle is six inches shorter and eight inches wider than the square. Express both the length and the width of the rectangle as a function of a side of the square. a) Rectangle width is s + 8 and length is s - 6 b) Rectangle width is s - 8 and length is s + 6
All of the following points lie on the graph of y = 2 xexcept _____.(0, 0) (1, 2) (2, 4) (3, 8)
Question is: Solve -7(x+6)=4(x+6)

Find the value of Z in the following equation: 8Z = 64.a. 72
B. 8
C. 512
D. 56

Answers

The requried simplified value of z is given as z = 8. Option B is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Given expression,
8z = 64
divide both sides by 8
8z / 8= 64 /8
z = 8

Thus, the requried simplified value of z is given as z = 8. Option B is correct.

Learn more about simplification here:

brainly.com/question/12501526

#SPJ2
8Z = 64

Divide both sides by 8.

8Z/8 = 64/8

Z = 64/8

Z = 8


Your final answer is B. 8.

how much would $120 invested at 6% interest compounded monthly be worth after 21 years? round to the nearest cent

Answers

The formula is
A=p (1+r/k)^kt
A future value?
P present value 120
R interest rate 0.06
K compounded monthly 12
T time 21 years
A=120×(1+0.06÷12)^(12×21)
A=421.72

Hope it helps!

if the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?

Answers

$8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%. This is obtained by finding 7% of deposit money and subtracting the answer from the deposit money.

Calculate the money the bank is free to lend:

Given that, deposit = $9000

reserve rate = 7%

First we have to find 7% of $9000,

7% of $9000 = 7/100 × $9000

                      = $630

Money the bank is free to lend, $9000 - $630 = $8370

Hence $8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%.

Learn more about reserve rate here:

brainly.com/question/945161

#SPJ2
If the reserve rate is 7% and a bank receives a deposit of $9,000. How much of the $9,000 is the bank free to lend? $8,370

a square patio has an area of 225m2. the owner wants to put lights around the patio each string of lights is 25m long. how many strings of lights are needed?

Answers

ok....so look at the attached picture

Final answer:

To find the number of strings of lights needed for the square patio, divide the perimeter of the square by the length of each string of lights. Round up to the nearest whole number.

Explanation:

To find the number of strings of lights needed, we need to divide the perimeter of the square patio by the length of each string of lights. Since the patio is a square, all sides are equal in length. To find the side length, we can take the square root of the area.

In this case, the area is 225m², so the side length of the square patio is √225m = 15m. The perimeter of the square is 4 times the side length, which is 4 × 15m = 60m. Dividing the perimeter by the length of each string of lights, we get 60m ÷ 25m = 2.4. Since we can't have a fraction of a string of lights, we round up to the nearest whole number. Therefore, 3 strings of lights are needed.

Learn more about the Number of strings of lights needed for a square patio here:

brainly.com/question/33642954

#SPJ2

Rename the percent as a simplified fraction or mixed number. 1.) 30% 2.)150%

Answers

30% = 30/100 = 3/10
150% = 150/100 = 15/10 = 3/2 = 1 1/2
1.)  IN SIMPLIFIED FRACTION: 1  OVER 12
2.)  IN SIMPLIFIED FRACTION: 2 OVER 3

The set of integers is closed under subtraction.
True
False

Answers

The answer of the  integers is closed  under subtraction is  False

Answer:

false

Step-by-step explanation:
Other Questions
Point O is between points G and D on line m. Which of the following statements is not necessarily true?a. O, G and D are collinear. b. O, G and D are coplanar. c. GO + OD = GD d. GO = OD
The measure of distance from one point to another is:massvolumelengthspeed
Ou have $32 to spend at the music store. each cassette tape costs $5 and each cd costs $9. write a linear inequality that represents this situation. let x represent the number of tapes and y the number of cds.
Prove that