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diamong [38]
3 years ago
12

Use the scale factor to find the area of the enlarged figure. Explain your steps.

Mathematics
2 answers:
Travka [436]3 years ago
6 0

Answer:

The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.

Step-by-step explanation:

This is the sample response but I would use the other pearsons answer because it is NOT the sample response.

Have a great day!

Amanda [17]3 years ago
5 0

9514 1404 393

Answer:

  327.68 units^2

Step-by-step explanation:

The area of the small figure is ...

  area = length · width

  area = (8)(4) = 32 . . . . square units

The scale factor is ...

  scale factor = large length / small length = 25.6/8 = 3.2

The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:

  (32 units^2)(3.2^2) = 327.68 units^2

_____

<em>Additional comment</em>

We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be

  length · width = (25.6 units)(12.8 units) = 327.68 units^2

This seems easier to me, but is not the method required by the problem statement.

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3 years ago
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Five year old Michelle weighs 75 decagrams. What is her weight in centigrams?
Svet_ta [14]
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Question 28 of
Helen [10]

y - y1 = m(x - x1) \\ y - 8 = 15(x - 2) \\ y - 8 = 15x - 30 \\ y = 15x - 30 + 8 \\ y = 15x - 22

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7 0
2 years ago
Increasing the sample size while keeping the same confidence level has what effect on the margin of error? A. Increases the marg
DiKsa [7]

Answer:

C. Decreases the margin of error and hence increases the precision

Step-by-step explanation:

If we select a sample by Simple Random Sampling in a population of “infinite” size (a population so large that we do not know its size exactly), then the margin of error is given by

\bf E=\frac{ZS}{\sqrt{n}}

where  

<em>Z = The Z-score corresponding to the confidence level </em>

<em>S = The estimated standard deviation of the population </em>

<em>n = the size of the sample. </em>

As we can see, since n is in the denominator of the fraction and the numerator is kept constant, the larger the sample size the smaller the margin of error, so the correct choice is:

C. Decreases the margin of error and hence increases the precision

4 0
3 years ago
Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds fas
Sati [7]

Answer

Find out how many seconds faster has Alexandria's time then Adele's time .

To proof

Let us assume that seconds faster has Alexandria's time then Adele's time be x.

As given in the question

Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds.

Than the equation becomes

x = 32.56 - 29.4

x = 3.16 seconds

Therefore the 3.16 seconds faster has Alexandria's time then Adele's time .

Hence proved


7 0
3 years ago
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