Jess is painting his car. He’s created a purple color that uses red paint and blue paint in a ratio of 6:5. Jess uses 15 pints of blue paint. How many pints of paint does he use in total?

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

47 - 90 = 43

43 - 180 = x

x = 137