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statuscvo [17]
3 years ago
15

Stacy made a necklace using four times as many blue beads as red beads she used a total of 40 beads how many blue beads did Stac

y use
Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0
Stacy used 10 blue beane
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Find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
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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

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