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Daniel [21]
3 years ago
12

What is the measure of one angle of a regular octagon

Mathematics
1 answer:
Sidana [21]3 years ago
8 0
We use the formula to find the sum of the interior angles of an octagon, then we can divide it by the number of sides it has.

\sf180(n-2)

Where 'n' is the number of sides.

An octagon has 8 sides, so we have:

\sf180(8-2)

Subtract:

\sf180(6)

Multiply:

\sf1080

This is the sum of all the angles in a regular octagon, and since an octagon has 8 angles, we divide by 8 to find the measure of one angle.

\sf1080\div8=\boxed{\sf135}
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If there are 2,400 students,<br> 52% are boys and 48% girls. <br> What is the ratio of boy and girl?
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Answer:

13:12

Step-by-step explanation:

52% 2400 = 1248

48% 2400 = 1152

Reduce to 13/12 = 13:12

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The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:
tankabanditka [31]
<span>x - intercepts (0, 0) and (120, 0)

Vertex is at (60, 35).

Part A: What do the x-intercepts and maximum value of the graph represent?

The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120 ft..

The vertex represents the maximum height, which is at the center of the tunnel. So, you know that the maximum height is at x = 60 ft and it is 35 ft

What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height?

The increasing interval is (0,60), and the decreasing interval is (60,120).

That represents that the height increase from the left border (x = 0) until the center of the tunnel (x = 60 ft), reaching a height of 35 ft, and starts to decrease toward the right border until the ground level (x = 120).

Part B: What is an approximate average rate of change of the graph from x = 20 to x = 35, and what does this rate represent? </span>

Find the y -coordinate for x = 20 and for x = 35. Supposse they are (I do not have the figure, because you did not include it) y = 15 and y = 45.

Then the average rate of change is equal to [change in height] / [change in x] = [45 - 15] / [35 - 20] = 30 / 15 = 2.

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4 0
3 years ago
10.) *
Alecsey [184]

Answer:

4/8 (2/4)

Step-by-step explanation:

1/4 is 2/8

He ate 2/8 pizza for dinner

Then he ate 1/4 (2/8) the next day

So he has 4/8 (2/4) pizza left

5 0
2 years ago
What is the solution of the system of equations?
Elanso [62]
<span>y = 4x + 4
y = –3x – 3 

4x+4 = -3x-3
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y=4x+4
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Answer: (-1, 0)</span>
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