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mafiozo [28]
3 years ago
11

1.

Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

Part a) AB=15\ cm

Part b) AB=11.1\ cm

Part c) AB=3/5\ cm

Part d) AB=3s\ cm

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(5)=15\ cm

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(3.7)=11.1\ cm

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(1/5)=3/5\ cm

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

3(s)=3s\ cm

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It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
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Our proportional fractions are:
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To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
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Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

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x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
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