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nika2105 [10]
2 years ago
13

Please help! : What is the actual length of a window that is 1 1/4 inches long on a drawing with a scale of 1 inch= 6 feet? This

is on my ratios and proportions homework.The answers are : a.7 1/2 b. 7 3/4 c. 6 3/4 d. 7feet
Mathematics
1 answer:
BabaBlast [244]2 years ago
7 0
\bf \begin{array}{ccllll}
model&actual\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&6\\
1\frac{1}{4}&x
\end{array}\implies \cfrac{1}{1\frac{1}{4}}=\cfrac{6}{x}
\\\\\\
1\frac{1}{4}\implies \cfrac{1\cdot 4+1}{4}\implies \cfrac{5}{4}\qquad thus
\\\\\\


\bf \cfrac{1}{\frac{5}{4}}=\cfrac{6}{x}\implies \cfrac{\frac{1}{1}}{\frac{5}{4}}=\cfrac{6}{x}\implies \cfrac{1}{1}\cdot \cfrac{4}{5}=\cfrac{6}{x}\implies \cfrac{4}{5}=\cfrac{6}{x}
\\\\\\
x=\cfrac{5\cdot 6}{4}
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