If an exterior angle of a regular polygon is 21.2º, how many sides does the polygon have?

If An Exterior Angle Of A Regular Polygon Is 21.2, How Many Sides Does The Polygon Have?

Answers

Answer 1

Answer:

option 4.    17

Step-by-step explanation:

sum of angles = exterior angle x n

360° = 21.2° n

n = 360 / 21.2

n = 17

Answer 2

Number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

What is  polygon?

" Polygon is defined as the two dimensional geometric shape which has n number of finite sides."

Formula used

360° = (Exterior angle of polygon ) × ( number of sides of polygon)

According to the question,

Given,

Exterior angle of a regular polygon =  21.2º

'n' represents the number of sides

Substitute the value in the formula to get number of sides,

[tex]360\°= (21.2\°) (n)[/tex]

⇒ [tex]n = \frac{360\°}{21.2\°}[/tex]

⇒ [tex]n= 16.98[/tex]

n≈ 17 sides

Hence, number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

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Related Questions


What is the value of the expression below?
(-8)^4/3
A. 32
B. 16
C. -16
D. 3

Answers

Answer:

-16

Step-by-step explanation:

The answer is B. 16. The steps are:
1. (-8)^4/3 = (-1)^4/3 * 8^4/3
2. = (-1)^4/3 * 8^4/3
3. (-1)^4/3 = 1
4. = 1 * 8^4/3
5. 8^4/3 = 16
6. = 1 * 16
7. = 16

How do the surface areas of similar prisms compare when dimensions are doubled?

O A The surface area of the larger prism is 2 times the surface area of the smaller prism.

OB. The surface area of the larger prism is 4 times the surface area of the smaller prism.

OC. The surface area of the larger prism is 8 times the surface area of the smaller prism.

Answers

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller one.

(which agrees with answer B in your list)

Step-by-step explanation:

Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H

Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:

B x H  to -->  2 B x 2 H = 4 (B x H)

that is 4 times the original lateral face's area.

with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.

Answer:

c

Step-by-step explanation:

edge 2021

How do you do letter d? I keep getting the wrong answer

Answers

Answer:

18

Step-by-step explanation:

The integral is the area between f(x) and the x-axis.  Remember that area below the x-axis is negative.

The area between x=0 and x=6 is a trapezoid.

The area between x=6 and x=9 is a rectangle.

The area between x=9 and x=15 is a triangle.

The area between x=15 and x=21 is a triangle.

The area between x=21 and x=27 is a trapezoid.

A = ½ (3+9) (6) + (3)(9) + ½ (6)(9) + ½ (6)(-9) + ½ (-9+-6) (6)

A = 36 + 27 + 27 − 27 − 45

A = 18

1200-5(3x+30)=600 show the steps to solve this problem

Answers

Answer:

x=+30

Step-by-step explanation:

1200-5(3x+30)=600

We move all terms to the left:

1200-5(3x+30)-(600)=0

We add all the numbers together, and all the variables

-5(3x+30)+600=0

We multiply parentheses

-15x-150+600=0

We add all the numbers together, and all the variables

-15x+450=0

We move all terms containing x to the left, all other terms to the right

-15x=-450

x=-450/-15

x=+30

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 30}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1200 - 5(3x + 30) = 600}[/tex]

Distribute 5 through the parentheses

[tex] \dashrightarrow{ \sf{1200 - 15x - 150 = 600}}[/tex]

Subtract the numbers: 150 from 1200

[tex] \dashrightarrow{ \sf{ - 15x + 1050 = 600}}[/tex]

Move 1050 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - 15x = 600 - 1050}}[/tex]

Subtract 1050 from 600

[tex] \dashrightarrow{ \sf{ - 15x = 450}}[/tex]

Divide both sides of the equation by -15

[tex] \dashrightarrow{ \sf{ \frac{ - 15x}{ - 15} = \frac{ - 450}{ - 15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 30}}[/tex]

Hope I helped!

Best regards! :D

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Answers

Answer:

x = 27

Step-by-step explanation:

Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;

[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]

add 22 to both sides

[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]

[tex]{2x^{5/3} =486[/tex]

divide both sides by 2

[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]

raise both sides to the power of 3/5

[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]

Hence the value of x is 27

Which equation correctly solves for x in △LMN?

A
cos61°=13x

B
cos61°=x13

C
sin61°=x13

D
sin61°=13x

Answers

Answer:

the answer is B

Step-by-step explanation:

you have to divid 13 from 61 to get -8 and u have to times the 2 numbers and do - 8 x 2 = 16 and after that u take the 3 and it would have to turn into 50 and it would be cos bc you combining the numbers to make one whole number  and since it is negative you have to put that little circle thing i forgot the name I hope that help can u please mark my branily thing

What is equivalent to 6/25. A.0.20 B.0.22 C. 0.24 D. None

Answers

Answer:

C. .024

Step-by-step explanation:

You multiply 25 by 4 to get 100 and then you multiply 6 by 4 to get twenty four. After that you divide both numbers by one hundred and you get C

Add 7, .8,.6 Add 35.15,14.18,7.16 Add .8,5,.7

Answers

Answer:

(a) 8.4

(b) 56.49

(c) 6.5

Step-by-step explanation:

Question 1:

7 + 0.8 + 0.6

7.8 + 0.6

8.4

Question 2:

35.15 + 14.18 + 7.16

49.33 + 7.16

56.49

Question 3:

0.8 + 5 + 0.7

5.8 + 0.7

6.5

Answer:

8

Step-by-step explanation:

bc is write

What’s the LCD Of 5/8

Answers

40

There isnt a way the LCD can go lower, because 5 only counts by 5's and 5 and 8 meet at 40.

Answer:

least common denominator of 5 and and 8 is  40

What is the product of (-0.9)×(-2.4)

Answers

Answer:

the answer is 2.16

Step-by-step explanation:

just use a calculator and it will tell you the answer

b) A white shirt costs $. 2.50, and a blue shirt costs $. 1.50
Calculate the percentage difference.

Answers

Answer :

Cost of white shirt = 2.50 $

Cost of blue shirt = 1.50 $

We have asked to find percentage difference[tex].[/tex]

_________________________________

[tex]:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{1}{4}\times 100[/tex]

[tex]:\implies\:\boxed{\bf{\gray{25\:\%}}}[/tex]

Which phrase matches the algebraic expression below?
2(x - 7) + 10

Answers

Answer:

Combining like terms

Step-by-step explanation:

A snowboarder traveled at a speed or 12 meters per second for 15 seconds. How far did the snowboarder travel ? A. 18 meters B. 27 meters C. 180 meters D.270 meters

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2021 EDGE

Question 1 (1 point)
What is the slope of the line that passes through the points
(8,-15) and (-12,25)?
A No answer provided
a 2
6.-2
c15
D-1/2

Answers

Answer:

B) -2

Step-by-step explanation:

[tex]\frac{25-(-15)}{-12-8} =\frac{40}{-20} =-2[/tex]

The peak of Mount Kilimanjaro, the highest point

Answers

Answer:

Kilimanjaro: Facts About Africa's Highest Peak Kilimanjaro is the highest mountain in Africa at 19,341 feet (5,895 meters), but it isn't a mountain in a traditional sense. ... Uhuru Peak is the highest summit on Kibo's crater rim. Uhuru, Swahili for "Freedom," was named in 1961 when Tanganyika gained its independence

Step-by-step explanation:

ASAP What statements are true regarding the given statement and diagram?

Answers

All of them are correct except the third and last statements

Write the following words as an algebraic expression. The sum of the quotient of a number x and 5 and the product of 6 and a number y

Answers

Answer:

[tex]\frac{x}{5} + 6y[/tex]

Step-by-step explanation:

Combine like terms: A. 7a + 7b - 13a - 11b B. -5a - 12a + 2b - 3b Explain

Answers

A. 7a i have done this before

A Fahrenheit thermometer shows that the temperature is 15 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit.

Answers

Answer:

The integer that represents 15 degrees below 0 is -15°F.

Step-by-step explanation:

This is because the phrase "15 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -15.

The thermometer shows - 15°F  the temperature is 15 degrees below zero.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The Fahrenheit scale is a temperature scale based on one proposed in 1724 by the physicist Daniel Gabriel Fahrenheit.

Given, A Fahrenheit thermometer shows that the temperature is 15 degrees below zero.

So, If we assume the thermometer as a number line it is 15 units left to the origin.

∴ (0 - 15)°F.

= - 15°F.

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solve the given triangles by finding the missing angle and other side lengths.

Answers

Answer:

32 degrees is the missing angle

Step-by-step explanation:

I subtracted 40 and 112 from 180.

Answer:

40+112+x=180

x=180-152

=28 degree.

x=
[tex] {3}^{y} [/tex]
[tex]y = {3}^{5} [/tex]
express in terms of X and or y

Answers

Answer:
Exact form: x= 3^243
Decimal form: x=8.71896424 • 10^115
(3*3*3*3*3)=243
Y=243
x=3^243
X= 8.718*10^115

What are quadratic binomial

Answers

Answer:

A quadratic binomial is a second degree binomial, such as 3x2+2.

solve the inequality 9(x/3+1) > 6

Answers

x - 9 >  - 6 = x > 3

Step-by-step explanation:

On solving the inequality, we get the solution inequality as -

x > -1.

What is a Inequality? What is equation modelling? What is a mathematical equation and expression?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the inequality -

9(x/3 + 1) > 6

The given inequality is -

9(x/3 + 1) > 6

(x/3 + 1) > (6/9)

(x/3 + 1) > 2/3

x/3 + 1 - 1 > 2/3 - 1

x/3 > (2 - 3)/3

x/3 > -1/3

x > -1

Therefore, on solving the inequality, we get the solution inequality as -

x > -1.

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If the distance marked on centimeter scale is from 2.5 to 4.5,
then the line segment is how many cm long?

Answers

Answer:

2.0cm long

Step-by-step explanation:

If the distance marked on a centimeter scale is from 2.5 to 4.5, then the final destination is 4.5cm and the initial point = 2.5.

Distance between the two points will give us the length of the line segment.

Distance between the two points = final point - initial point

Distance between the two points  = 4.5 - 2.5

Distance between the two points = 2.0 cm

Hence the line segment is 2.0cm long

<1 and <2 are —-
Adjacent angles
Supplementary angles
Right angles
Vertical angles

Answers

Adjacent, because they have the same vertice and a common line I believe

I think I know it but just needing help if I get it wrong. Help me please !!

Answers

Answer:

8n=55

Step-by-step explanation:

The product(multiplication) of 8 AND a number(meaning the multiplication of 8 and a number which is said to be n)  is(equal to) 55.

I hope I explained it well enough. lol

Answer:

B - the second answer .... 8n =55

Step-by-step explanation:

what is the average of the following numbers 66.9,5.6,70.1​

Answers

Answer:

47.53

Step-by-step explanation:

First you add all of the numbers together.

66.9+5.6+70.1=142.6

Then you divide the sum of numbers by how many number there are.

142.6/3=47.53

Simplify the following expression.
5 (2x - 3) + 4(x + 1)

Answers

Answer:

Step-by-step explanation:

10x - 15 + 4x + 4

14x - 11


graph the unequal x ≤ - 5

Answers

Answer:

Step-by-step explanation:

Use the properties of exponents to simplify the expression: 2(x13)65⋅y23

Answers

Answer 38870xy

Explication: use the commutative property to reorder the terms .

2(13x)65y•23

Then Remove the parentheses

So 2•13=26 65•23=1,495

Then 26•1,495=38,870
Then you take the x and the y and your answer is 38,870xy sense x is before y
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