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Nata [24]
3 years ago
10

A graphic designer creates an image for a t-shirt that measures 8 inches tall and 10 inches wide. She can use this image for sma

ll and medium t-shirts, but she must increase the size for a large t-shirt. She wants her final image for the large t-shirts to measure 9 inches tall and 11.25 inches wide. At what percent must she print out the image to obtain these measurements?
Mathematics
1 answer:
jeka57 [31]3 years ago
8 0
1.125 times 8=9
1.125times10=11.25

1.125=112.5%

So she will have to enlarge the logo for the large shirt by 12.5%
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Step-by-step explanation:

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rjkz [21]
\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-----------------------------\\\\
\cfrac{sin(J)}{9.1}=\cfrac{sin(97^o)}{11}\implies sin(J)=\cfrac{9.1\cdot sin(97^o)}{11}
\\\\\\
\textit{now taking }sin^{-1}\textit{ to both sides}
\\\\\\
sin^{-1}\left[ sin(J) \right]=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)
\\\\\\
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8 0
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