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Korolek [52]
3 years ago
12

Use the Law of Sines to find the measure of angle J to the nearest degree.

Mathematics
1 answer:
rjkz [21]3 years ago
8 0
\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)
\\\\\\
\measuredangle J=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)
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Answer:

$1,216

Step-by-step explanation:

Costs for Handsome Homes fabric

Area (sq. ft.)   Cost (dollars)

        (x)                  (y)

       250               475

       500               950

       750               1,420

       1000             1,900

If you divide any y-value by its corresponding x-value, the quotient will be 1.9

This means that each square foot costs $1.90 at Handsome Homes

Discount Diggers = 20% per sq. ft. less than Handsome homes

Discount Diggers = $1.90 - 20%

Discount Diggers = $1.90(100 - 20%)

Discount Diggers = $1.90(0.8)

Discount Diggers = $1.52

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800 square feet of landscape fabric at Discount Diggers costs $1,216

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