With a coupon, a pair of shoes that normally costs $90 is only $72. Find the COP between $90 and $72.

The discount rate operated by the coupon is 20%.

Step-by-step explanation:

Since the pair of shoes normally sells for $ 90, but through the application of a discount coupon it sells for $ 72, to determine the discount percentage made by this coupon it is necessary to perform the following calculation:

90 = 100

72 = X

(72 x 100) / 90 = X

7,200 = 90 = X

80 = X

100 - 80 = 20

Thus, the discount operated by the coupon is 20%.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47