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Amiraneli [1.4K]
3 years ago
7

The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. Th

e actual building measures 320 feet long by 256 feet high. A stage crewmember writes (x, y) arrow right ( 1/20 x, 1/20y) to represent the dilation. Is the crewmember's calculation correct if the painted replica is to cover the entire backdrop? Complete the explanation.
Mathematics
1 answer:
expeople1 [14]3 years ago
5 0

Answer:

Stage crewmember's calculation is incorrect

Correct = 1/16x 1/16y

Step-by-step explanation:

Given that:

Dimension of backdrop : 20 feets long ; 16 feets high

Actual dimension of building : 320 feets long ; 256 feets high

The correct scale factor can be obtained thus :

Ratio of backdrop dimension to the actual dimension of building

Length : 20 / 320 = 1 /16

Height : 16 / 256 = 1/16

Hence, stage crewmember's calculation of (1/20x ; 1/20y) is incorrect.

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Answer:

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