Last season two running backs on the steelers football team rushed or a combined total of 1550 yards. one rushed 9 times as many yards as the other. how many yards were rushed by each player?

First we define variables:
 x = distance traveled by player A
 y = distance traveled by player B
 We have the following system of equations:
 x + y = 1550
 x = 9y
 Solving the system we have:
 x = 1395
 y = 155
 
 x = 1395 yards (player A)
 y = 155 yards (player B)

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.