What is the sum of the interior angle measures of a regular octagon

Answers

Answer 1

Answer:

The requried sum of the interior angle measures of a regular octagon is 1080°.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,

The Sum of interior angles of a polygon with n sides is given as,
= (n-2) × 180°

Since an octagon has 8 sides,
So put n = 8

The Sum of interior angles of a octagon = (8-2) × 180°
= 6 × 180° = 1080°

Thus, the requried sum of the interior angle measures of a regular octagon is 1080°.

Learn more about polygon here:

brainly.com/question/24464711
#SPJ2

Answer 2

Answer: You would first need to find the exterior angle of the octagon first in order to find the interior angle of the octagon. Since all the exterior angles of any polygon is 360, you would divide 8 from 360 which is 45
Exterior Angle=45
Then, you would subtract 45 from 180, since the exterior angle + the interior angle is equal to 180 degrees.
180-45=135
Exterior Angle=135

Related Questions

If arctan(3/5)=K Tan(k)=?
Which of these items is the better buy? A. An 8-pack of glue sticks for $3.99 or 1 glue stick for $0.54? B. A 12-pack of tape for $2.50 or 1 roll of tape for $0.19 c. A 100-pack of pencils for $4.88 or 1 pencil for $0.05 d. A 50-pack of paper clips for $0.89 or a 25-pack of paper clips for $0.45
In the figure below, hln. Find the values of z and y.
A school’s population increased by 42 students. This was a 3% increase. About how many students attended before the increase?
I'm not really good at clearing fractions I need help with this problem please!

During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?

Answers

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

plz mark me brainliest

a lotStep-by-step explanation:

If you are riding on a Ferris wheel that is 60 feet tall and it takes you 5 minutes to make one revolution, what is your linear velocity?a. 0.62 feet per second
b. 0.31 feet per second
c. 37.68 feet per second
d. 3.14 feet per second
e. 9.42 feet per second

Answers

By definition, the linear velocity is given by:
$v = w*r$
Where,
w: angular speed
r: radius
We have that the radius of the wheel is
$r = d / 2$
Where,
d: diameter of the wheel
substituting values:
$r = 60/2 r = 30 feet$
Then, we have the following conversions:
1 revolution = 2π radians
1 minute = 60 seconds
Therefore, the angular velocity in radians per second is:
$w = (1)/(5) (2 \pi )/(60)$
$w = 0.0209 (rad)/(s)$
Substituting values we have:
$v = (0.0209)(30) v= 0.62$
Answer:
your linear velocity is:
a. 0.62 feet per second

Answer:

O.62

Step-by-step explanation:

Jordan likes only blue jelly beans. He has a box of 100 jelly beans that contains equal numbers of red, blue, green, yellow, and orange jelly beans.Jordan randomly pulls out a jelly bean. Then he pulls out a second one without replacing the first. What is the probability that both jelly
beans are blue?

Answers

2/20 is the chance of choosing 2 blue jelly beans. Since there are 5 colors, that are equally divided......

Point P was rotated by 120(the center of rotation is indicated)

Answers

After rotating point P by 120 degrees around the indicated center of rotation, the new position of point P can be calculated using trigonometric principles and the fraction of a full rotation it has undergone, resulting in its new coordinates.

To find the new position of point P, we can use the following steps:

Draw a line segment from the center of rotation to point P.

Measure the angle between the initial position of the line segment and the final position after the rotation. In this case, the angle is 120 degrees.

Divide the angle of rotation by the number of equal parts in a full circle (360 degrees). This will give us the fraction of a full rotation that the point has undergone. In this case,

120/360 = 1/3 of a full rotation.

Using trigonometric functions (sine and cosine), calculate the new coordinates of point P based on its distance from the center of rotation and the fraction of the circle it has rotated through.

To know more about rotation here

brainly.com/question/34828607

#SPJ3

Answer:

I think it is

hope this helps

Given a deck of 52 cards 3 are dealt without replacement let the first card be the queen of hearts and the second card be queen of diamonds is the probability of drawing the two cards independent? Explain

Answers

Answer:

Step-by-step explanation:

the outcome of the first event affects the second.

you cannot get the queen of hearts the first time and the queen of hearts the second time so these are dependent events.

flipping a coin is an example of an independent event

10 is 5% of what number

Answers

We can use proportion to get the result
10 ----------- 5%
x ------------- 100%
Crossmultiply proportion

5*x=10*100
5x=1000 /:5 divide both sides by 5
x=1000:5
x=200 - its the answer

$p\%=(p)/(100)\n\n5\%=(5)/(100)=0.05\n\nx-the\ number\n\n5\%\ of\ the\ number\ (x)\Rightarrow 0.05x\n\nThe\ equation:\n\n0.05x=10\ \ \ \ \ |divide\ both\ sides\ by\ 0.05\n\nx=(10)/(0.05)\n\nx=(1000)/(5)\n\n\boxed{x=200}\leftarrow ANSWER$

Other Questions

PLEASE ANSWER ASAP! ANSWER MUST INCLUDE EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Justin wants to use 188ft. Of fencing to fence off the greatest possible rectangular area for the garden. What dimensions should he use what will be the area of the garden

3. At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Which of the sets shown includes the elements of set Z that are both odd numbers and multiples of 7?Z={-21, -14, -7.0, 7, 14, 21}A {-21, 21)B. {-21.-7. 7. 21)C: {-14, 0.14)D. {-21, -14, -7)