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charle [14.2K]
3 years ago
13

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

the rotation?
Mathematics
1 answer:
diamong [38]3 years ago
8 0
The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C

where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon

For an octagon, the central angle is
C = 360/8 = 45

So,
N = 360 / 45 = 8

Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.
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The next 3 equivalent ratios are

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What is 56.398 rounded to the nearest tenth
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The decimal place to the right of the tenths place is the hundredths place. The digit in that place is 9.

When the digit to the right of the place you're rounding to is more than 4, you increase the digit in the rounding place by 1.

Here, we have the hundredths digit is 9, which is more than 4, so we increase the tenths digit by 1. The rounded number is

... 56.4

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Another way to get there is to add 5 in the hundredths place (the place to the right of the one you're rounding to). When you do that, you get 56.448. Now, throw away all the digits to the right of the one you're rounding to. This leaves

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The reason I show this last method is to deal with cases like rounding 56.978. By the first rule, you're increasing the digit 9 by 1, which might be confusing. (it requires a carry into the next digit, making 57.0.) If you add .05 to this number, you get 56.978 +.05 = 57.028. Now when you throw away the digits to the right of the tenths digit, you have 57.0.

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Determine whether the following possible responses should be classified as interval, nominal or ordinal data.
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Answer:

1. Nominal data 2. Responses here can't be classified as interval or nominal or ordinal data 3.  Responses here can't be classified as interval or nominal or ordinal data  4. nominal

Step-by-step explanation:

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2. Possible values for the number of cars in a parking lot are 0, 1, 2, 3, 4,... Besides we can say that 4 cars is twice than 2 cars, and exist a true zero. We can't say that responses here correspond to interval data, in fact, we can say that responses here correspond to the kind of data called ratio data.

3. You can spend zero hours in your homework, so, there exists an absolute zero, besides, to say that you spend 4 hours in your homework is twice that if you spend 2 hours in your homework is meaningful. We can't classify responses here as interval data or ordinal or nominal. We can classify responses here as ratio data.

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