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BlackZzzverrR [31]
3 years ago
15

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he preimage?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0
Central angle of a regular polygon:
Ф = 360° : n. 
If n=12:  Ф = 360° : 12 = 30°
At the angle of rotation Ф = 30°  the image of the polygon will coincide with the preimage.
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Answer:

ask your teacher for help

Step-by-step explanation:

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A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 met
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Answer:

Length equals 16 and Width equals 4

Step-by-step explanation:

First let us create an equation. We can use L and W for length and width.

If the length is 4 times the width, then we end up with: L = 4W

It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."

Since a square has an equal length and width then we end up with:

L - 6 = W + 6

Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6

We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.

This leaves us with 3W = 12

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1 year ago
Find all numbers whose absolute value is -5.
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3 years ago
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Maria has a 30% coupon for her $60 dollar jeans, what is the new price
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$42

Step-by-step explanation:

Since she has a 30% coupon, the new price of the jeans will be 30% of the original price subtracted from the original price

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Therefore

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An experiment to investigate the survival time in hours of an electronic component consists of placing the parts in a test cell
mixer [17]

Answer:

a) The sample mean is of 49 and the sample standard deviation is of 11.7.

b) The range of the true mean at 90% confidence level is of 9.62 hours.

c) The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

Step-by-step explanation:

Question a:

Sample mean:

\overline{x} = \frac{34+40+46+49+61+64}{6} = 49

Sample standard deviation:

s = sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7

The sample mean is of 49 and the sample standard deviation is of 11.7.

b)Determine the range of the true mean at 90% confidence level.

We have to find the margin of error of the confidence interval. Since we have the standard deviation for the sample, the t-distribution is used.

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df = 6 - 1 = 5

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 2.0.150

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The range of the true mean at 90% confidence level is of 9.62 hours.

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This is the confidence interval, so:

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 9.62 = 39.38 hours.

The upper end of the interval is the sample mean added to M. So it is 49 + 9.62 = 58.62 hours.

The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

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