Mr. Gomez rode to work averaging 45 miles per hour. He averaged 55 miles per hour on the trip home from work. If he spent a total of 6 hours driving to and from work, how many miles is his work from his home?

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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)

the answer is here: : )

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on plase n