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Inessa [10]
4 years ago
11

For what value of θ, in degrees, is sin θ = cos 58°?

Mathematics
2 answers:
PSYCHO15rus [73]4 years ago
8 0
\cos(90^o-\theta)=\sin\theta\ and\ \sin\theta=\cos58^o\\\\therefore\\\\90^o-\theta=58^o\ \ \ \ |subtract\ 90^o\ from\ both\ sides\\-\theta=-32^o\ \ \ |change\ signs\\\boxed{\theta=32^o}
marishachu [46]4 years ago
5 0
Well sin cos and tan can only work on a right trangle so whats 90 - 58 = ?

its 32

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The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of the ages
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Answer:

Step-by-step explanation:

From the problem statement, we can create the following equation:

J + P + D = 120

where J is the age of James, P is the age of Paul, and D is the age of Dan.

From the first part of the second sentence, we can set up the following equation:

J = 3D

From the last part of the second sentence, we can set up the following equation:

P = 2(J + D)

We can substitute the second equation into the last one to get the following:

P = 2(3D + D)

P = 2(4D)

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We can then substitute the last two equations in the first to solve for D:

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D = 10

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P = 8D

P = 8(10)

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