The measures of exterior angles of a regular polygon with n numbers of sides ____ as n increases

Answers

Answer 1

Answer: decrease

The exterior angles of a polygon add up to 360 degrees, so the measure of each exterior angle of an n-sided regular polygon is given by 360/n. As n increases, 360/n will decrease.

Answer 2

Answer:
Exterior angle = 360 / n

where n = number of sides of the regular polygon.

So when n increases, the exterior angle reduces.

So:

The measures of exterior angles of a regular polygon with n numbers of sides decreases as n increases

Hope this explains it.

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1)what is the y-coordinate of the solution to the system of equations?

x-y=12
27+3y=2x

2)what is the y-coordinate of the solution to the system of equations?

y=2x+14

-4x-y=4

Answers

ok so basically solve for y

x-y=12
27+3y=2x

27+3y=2x
subtract 3y from both sides
27=2x-3y
2x-3y=27

x-y=12
multiply by -2
-2x+2y=-24

add them
2x-3y=27
-2x+2y=-24 +
0x-1y=3

-y=3
y=-3
y coordinate is -3

2.
y=2x+14
-4x-y=4

y=2x+14
subtract 2x from both sides
y-2x=14
mulitply both sides by -2
-2y+4x=-28

add the 2 equations

-2y+4x=-28
-y-4x=4 +
-3y+0x=-24

-3y=-24
divide both sides by -3
y=8

y coordinate is 8

1. y coordinate is y=-3

2. y coordinate is y=8

Answer:

1. -3

2. 8

Step-by-step explanation:

how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge 1/4 inches?

Answers

The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.

To manufacture 24,000 of them, you need to start with at least

(24,000) x (0.015625) = 375 cubic inches.

I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.

I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges.

Find area of the triangle 15ft 10ft 10ft

Answers

Answer:

Step-by-step explanation:

i'm going to assume that the base is 10, the formula for a triangle is base x height divided by 1/2 (or 2)

15height x 10base = 150 now divided by 2, 150/2 = 75

What is the length y? Round to the nearest tenth.

Answers

Answer:

y = 5.3

Step-by-step explanation:

It is assumed XYZ is a right triangle.

y/10 = sin 32°
y = 10 sin 32°
y = 5.3

a big cruise ship dropped anchor off the Caribbean island of antigua. the heavy anchor dropped into the water at a rate of 2.5 meters per second after 45 seconds the anchor was 40 meters below the waters surface. from what height above the water surface was the anchor released? how long did it take the anchor the reach the water surface?

Answers

Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell

(2.5 m/s) x (45 s) = 112.5 meters .

If it wound up only 40 meters underwater, then it must have fallen

(112.5 m - 40 m) = 72.5 meters

from its storage position on the big cruise ship,
before it ever reached the water.

Since it was falling at the rate of 2.5 m/s, it took

(72.5 m) / (2.5 m/s) = 29 seconds

to get down to the water surface after it started dropping.

A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?

Answers

Answer:

$A_f=11~inches$

Step-by-step explanation:

Area of a Rectangle

A rectangle of width W and height H has an area of:

A = W.H

We have one rectangle inside another. The first rectangle corresponds to the frame and its contents. The second rectangle corresponds to the photograph.

The area of the frame without its contents is the difference between both areas:

$A_f = A_e-A_i$