# a nonagon is a nine-sided polygon, if a regular nonagon was rotated about its center point, which of the following angels of rotation would not map the figure onto itself

The angles of rotation that would not map the figure onto itself will not be the multiple of 40 and this can be determined by evaluating the possible angle of each rotation.

Given :

• A nonagon is a nine-sided polygon.
• A regular nonagon was rotated about its center point.

To determine angels of rotation that would not map the figure onto itself, first, evaluate the possible angle of each rotation.

To determine the possible angle of each rotation the following calculation can be used:

The possible angle of eachrotation is the ratio of the complete rotation to the number of sides.

Each Rotation =

So, the angles of rotation that would not map the figure onto itself will not be the multiple of 40.

brainly.com/question/22051318

See Explanation

Step-by-step explanation:

Given

Required

Angles of rotation that would not map the shape on itself

Side of a nonagon is:

and a complete rotation is:

This is calculated by dividing the complete rotation by number of sides

The question lacks option; so, it's difficult to give a specific answer.

However, I'll give a generalized answer

For the nonagon to map on itself, the angle must be a multiple of the calculated angle of rotation (40)

i.e.

Any angle different from the above listed angles (or any other multiple of 40 not listed above) answers the question.

## Related Questions

Sarah practices her violin 45 minutes each practice session. She sets a goal to practice 6,075 minutes.How many practice sessions will it take for Sarah to reach her goal?

135 times

Step-by-step explanation:

135

Step-by-step explanation:

A company rents water tanks shaped like cylinders. Each tank has a diameter of 6 feet and a height of 2 feet. The cost is \$4 per cubic foot. How much does it cost to rent one water tank?

226.08

Step-by-step explanation:

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You randomly draw a marble from a bag of marbles that contains 888 blue marbles, 555 green marbles, and 888 red marbles.

whats the question?

Step-by-step explanation:

An automobile manufacturer would like to know what proportion of its customers are dissatisfied with the service received from their local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion that are dissatisfied. From past studies, they believe that this proportion will be about 0.28. Find the sample size needed if the margin of error of the confidence interval is to be no more than 0.02. (Round your answer up to the nearest whole number.)

The sample size needed if the margin of error of the confidence interval is to be no more than 0.02.

n= 2015

Step-by-step explanation:

Given the customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion that are dissatisfied

Given data from  past studies, they believe that this proportion will be about 0.28

The proportion of success(p)  = 0.28

We know that the margin of error of 95% of intervals of given proportion

margin of error =  …(i)

Given margin of error = 0.02

Substitute values in equation (i) cross multiplication √n

0.02 √n  = 2√0.28X0.72

On calculation, we get √n = 44.89

squaring on both sides, we get

n = 2015

Conclusion:-

The sample size needed if the margin of error of the confidence interval is to be no more than 0.02.

n= 2015

Calculate the perimeter of a rectangle with a length of 17.5 cm and a width of 40 mm in cm

Step-by-step explanation:

The perimeter of rectangle is given by :-

, where l is length and w is width of the rectangle.

Given : The length of rectangle is 17.5 cm and the width is 40 mm in cm.

Since , 1 cm = 10 mm

Then, 40 mm=

Then, the  perimeter of rectangle will be :-

Hence, the perimeter of rectangle = 43 cm

In January 2005, the population of California was 36.8 million and growing at an annual rate of 1.3%. Assume that growth continues at the same rate. a) By how much will the population increase between 2005 and 2030

11,960,000 populations.

Step-by-step explanation:

Population of California at year 2005 = 36.8 million

If the population is growing at annual rate of 1.3%, then yearly increment will be:

1.3% of 36.8 million

= 1.3% of 36,800,000

= 1.3/100 * 36,800,000

= 1.3 * 368,000

= 478,400

The number of yeas between 2005 and 2030 is 25years

The population increase between 2005 and 2030 will be 25 *  478,400

= 11,960,000

Hence the population would have increased by 11,960,000 populations between 2005 and 2030

Using the compound interest formula commonly used in mathematics, the population of California is expected to increase by approximately 13.04 million between 2005 and 2030, assuming an annual growth rate of 1.3%.

### Explanation:

The problem here is related to compound interest in mathematics. Here, the population of California is growing annually at a rate of 1.3%, which means it's compounding, much like interest in a bank. To calculate the growth in population from 2005 to 2030, or 25 years, we can use the formula for compound interest which is P(1 + r/n)^(nt), where P is the initial population, r is the annual growth rate, n is the number of times the population grows per year, and t is the time in years.

In this case, P is 36.8 million, r is 1.3% or 0.013, n is 1 (since the population grows once a year), and t is 25 (the number of years from 2005 to 2030). If we plug these values into the formula, we get: 36.8(1 + 0.013/1)^(1*25).

This simplifies to a population of approximately 49.84 million in 2030. Therefore, the population increase over those 25 years is: 49.84 million - 36.8 million = 13.04 million.