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notka56 [123]
3 years ago
12

A housepainter mixed 5 gal of blue paint with every 9 gal yellow paint in order to make a green paint. Which ratio of gallons of

blue paint to gallons of yellow paint will make the same shade of green
Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer: the ratio of gallons of blue paint to gallons of yellow paint that will make the same shade of green is 5/9

Step-by-step explanation:

The housepainter mixed 5 gallons of blue paint with every 9 gallons of yellow paint in order to make a green paint.

To determine the ratio of gallons of blue paint to gallons of yellow paint that will make the same shade of green, we will divide the gallons on blue paint required by the gallons of yellow paint required. It becomes

The ratio is 5/9 = 5:9

It means that for every 5 gallons of blue paint, 9 gallons of of yellow paint is required

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Alright, lets get started.

We could use sine law to find the remaining angle.

\frac{sinA}{a} =  \frac{sinB}{b}

\frac{sinS}{63.6}  = \frac{sin64}{69.8}

Plugging the value of sin 64

\frac{sinS}{63.6} =  \frac{0.8987}{69.8}

\frac{sinS}{63.6} = 0.01287

Cross multiplying

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Taking inverse on both side

S = sin^{-1}(0.8189)

S = 55° : Answer

Hope it will help :)



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