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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 show 1 foot of the sculpture?


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Respuesta :

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:

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