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Find the scale factor for 8 in : 2 ft

Sagot :

[tex]1\colon3[/tex]

Explanation

to solve this we need to get the ratio, to do this get the same unit measure in both sides of the quotient

so

[tex]8\text{ in : 2 ft}[/tex]

since

[tex]1\text{ ft=12 in}[/tex]

replace,

[tex]\begin{gathered} 8\text{ in : 2 ft} \\ 8\text{ in : 2}(12\text{ in)} \\ 8\text{ in: 24 in} \\ \text{divide both sides by 8} \\ \frac{8\text{ in}}{8}=\frac{24\text{ in}}{8} \\ 1\text{ in:3 in} \end{gathered}[/tex]

it means the scales factor is

[tex]1\colon3[/tex]