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2 years ago

Prove that the two circles shown below are similar.

Mathematics

1 answer:

tekilochka [14]2 years ago

4 0

Because we can transform circle A into circle B by using transformations, we conclude that circle A and B are similar.

<h3>How to prove that the two circles are similar?</h3>

We know that two figures are similar if one is a transformation of the other. So let's find the transformations that we need to apply to circle A to get circle B.

First, let's move the center. We can see that we need to translate circle A 5 units down and 3 units to the left.

Now, the radius of circle A is 5 units, while the radius of circle B is 2 units, then we have a scale factor k such that:

k*5 units = 2 units

k = 2/5

Then, if we apply the transformations to circle A.

shift of 5 units down.
shift of 3 units left.
dilation of scale factor 2/5.

We get circle B, so circle A and circle B are similar.

If you want to learn more about circles, you can read:

brainly.com/question/1559324

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Answer: $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

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In sampling distribution of $\hat{p}$ .

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p$

$\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ , where p= population proportion and n= sample size.

Let p be the population proportion of unmarried couples in the United States are mixed racially or ethnically.

As per given , we have

n = 100

p= 14% =0.14

Then, the mean and standard deviation of the sampling distribution of p will be :

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3 years ago

Prove that the two circles shown below are similar.​

Prove that the two circles shown below are similar.