How many feet is 10 inches

Asked by maham237 @ 16/02/2021 in Mathematics viewed by 276 People

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

Answered by maham237 @ 16/02/2021

Answer:

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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