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Pavel [41]
3 years ago
12

Trigonometry Problem Find the length of the missing side.

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

  19.0

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship ...

  Cos = Adjacent/Hypotenuse

  cos(38°) = 15/w

  w = 15/cos(38°) ≈ 19.035

The length of the missing side is about 19.0.

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
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Answer:

The amount invested in bonds = 35,000

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Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

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And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

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and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

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Step-by-step explanation:

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How do I answer this?​
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