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c. The length of the ears on the shadow puppet is 3 inches. The length of the ears on the shadow is 4 inches. What is the scale factor?

1 Answer

4 votes

Answer:

4/3

Step-by-step explanation:

The formula for the scale factor (k) is:

k = Length in Shadow Puppet / Length in Shadow

Given:

- Length of the ears on the shadow puppet = 3 inches

- Length of the ears on the shadow = 4 inches

Substitute these values into the formula:

k = 3 / 4

So, the scale factor is 3/4.

Step-by-step explanation:

- If the length of the ears on the shadow puppet is 3 inches, and the length of the ears on the shadow is 4 inches, the scale factor (k) is the ratio of these lengths.

- k = 3/4 means that for every 3 inches on the shadow puppet, there are 4 inches on the shadow.

- The scale factor of 3/4 indicates that the shadow is larger than the shadow puppet by a factor of 4/3 (the reciprocal of 3/4).

- Therefore, the answer is 4/3.

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