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11 July, 05:42

If on a scale drawing 15 feet are represented by 10 inches the. A scale 1/10 inches represents how many feet

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  1. 11 July, 06:07
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    A scale 1/10 inches represents 0.15 feet

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - The scale drawing is a ratio between the actual length and the

    drawing length

    - The terms of the ratio must have same units, then the scale

    drawing must have same units

    * Lets solve the problem

    - The 15 feet on a scale drawing are represented by 10 inch

    ∵ 1 foot = 12 inches

    ∴ 15 feet = 15 * 12 = 180 inches

    ∵ 15 feet represented by 10 inches

    ∴ 180 inches represented by 10 inches

    ∴ The scale drawing is ⇒ 10 : 180

    - Simplify it by dividing the two terms by 10

    ∴ The scale drawing is ⇒ 1 : 18

    - That means every 1 inch in drawing represents 18 inches in actual

    ∵ A scale represents 1/10 inches

    ∴ 1 : 18

    1/10 : ?

    ∴ The actual = 1/10 * 18 = 1.8

    ∴ 1/10 inches in scale drawing represents 1.8 inches in actual

    ∵ 1 inch = 1/12 feet

    ∴ The actual = 1.8 * 1/12 = 0.15 feet

    * A scale 1/10 inches represents 0.15 feet
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