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Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to
Question
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to show 1 foot of the sculpture?
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Mathematics
1 year
2021-08-20T18:21:40+00:00
2021-08-20T18:21:40+00:00 2 Answers
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Answers ( )
Given :
Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.
To Find :
How many centimetres in the image are used to show 1 foot of the sculpture.
Solution :
Ratio of enlargement is :
[tex]R=\dfrac{\text{Size in feet}}{\text{Size in cm}}\\\\R=\dfrac{\dfrac{1}{8}}{0.2}\\\\R=\dfrac{5}{8}\ ft/cm[/tex]
Let, enlarged size of 1 foot required x cm of image.
[tex]\dfrac{1}{x}=\dfrac{5}{8}\\\\x=\dfrac{8}{5}\\\\x=1.6\ cm[/tex]
Therefore, 1.6 cm of image is required.
Hence, this is the required solution.
Answer:
1.6
Step-by-step explanation: