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3 years ago

WILL GIVE BRAINLIEST!!!!

Mathematics

2 answers:

amid [387]3 years ago

7 0

Answer:

2.5 is scale factor of a dilation from LMNP to DEFG.

Step-by-step explanation:

We are given two figure LMNP and DEFG.

We need to find the scale factor of dilation from LMNP to DEFG

Dilation of figure is ratio of length of side of new figure to original figure.

New figure is DEFG and Original figure is LMNP

Ratio should be corresponding side of figure.

LM is corresponding to DE.

$\text{Scale factor }=\frac{DE}{LM}\Rightarrow \dfrac{15}{6}=\dfrac{5}{2}$

Thus, 2.5 is scale factor of a dilation from LMNP to DEFG.

Olin [163]3 years ago

3 0

To work out the scale factor, divide one of the sides from the larger shape from the smaller shape so:
15/6 = 2.5
So your scale factor would be 2.5
And to check this, multiply 2.5 by 6 and u should get 15, so you know it is correct! :)

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What is the greatest perimeter of a rectangle with an area of 39 square feet

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There is no greatest perimeter of a rectangle with an area of 39 square feet.

To see why, consider the length of 3 and width of 13. Area would be 39 and perimeter would be 3 + 3 + 13 + 13 = 32

Now consider length of 3/2 = 1.5 and 13·2 = 26. Then area is same but perimeter is 1.5 + 1.5 + 26 + 26 = 55.

Now we can just repeatedly half the length and double the width.

L = 3.0, W = 13
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L = 0.75, W = 52
⇒ A = 39, P = 105.5

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⇒ A = 39, P = 208.75

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L = 0.09375, W = 416
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L = 0.01171875, W = 3328
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Notice how P just kept growing. That's because width grow much faster than length <span>shrinking, </span>so P would grow endlessly.

Hope this helps.

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