Answer:
sin(x - y) = 0.21
Step-by-step explanation:
we have the sin values which we need to get cos values
sin (A-B) = sin A cos B - sin B cos A
sin² A + cos² A = 1
sin x = 4/9
cos² x = 1 - sin² x = 1 - 16/81 = 65/81
cos² x = 65/81
cos x = √65/9
sin y = 1/4
cos² y = 1 - sin² y = 1 - 1/16 = 15/16
cos² y = 15/16
cos y = √15/4
sin(x − y) = sin x cos y - sin y cos x
sin(x - y) = 4/9 √15/4 - 1/4 √65/9
sin(x - y) = (4√15-√65)/36
sin(x - y) = 0.21
socratic Narad T
Nickels = x
dimes = x + 4
quarters = x
Value of coins:
nickel = 5 cents
dime = 10 cents
quarter = 25 cents
5x + 10(x + 4) + 25x = 3.20
5x + 10x + 40 + 25x = 320
40x = 320 - 40
40x = 280
x = 280/40
x = 7
There are 7 quarters, 7 nickels and 11 dimes.
Answer:
7
Step-by-step explanation
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