Anew club sent out 164 coupons to boost sales for next year's memberships. they provided 3 times as many to potential members than to existing members. how many coupons did they send to existing members?

123 coupons.

Step-by-step explanation:

Divide the total of 164 coupons by 4. 164/4 = 41

Find the amount of coupons sent by multiplying 41 by 3. 41 x 3 = 123

The answer is 123 coupons. (123/164 = 3/4)

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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)