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TEA [102]
2 years ago
13

Solve the triangle. Round your answers to the nearest tenth.

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer:

  B.  m∠B = 118°, a = 17, c = 18

Step-by-step explanation:

The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.

We can verify angle B is ...

  ∠B = 180° -30° -32° = 118°

By the law of sines, ...

  a/sin(A) = b/sin(B)

Multiplying by sin(A), we get ...

  a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855

  a ≈ 17.0 . . . units . . . . . matches choice B

__

If you like, you can also verify side c:

  c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512

  c ≈ 18.0 . . . units

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for each inch is 5 feet, so for each 0.5 aka 1/2 inch, it would be 2.5 inches

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galina1969 [7]
So, what is the total lenght of the pieces that wer cut off?

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Which angles are pairs of corresponding angles? Check all that apply
AleksAgata [21]

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Step-by-step explanation:

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dusya [7]

Answer:

The Schusters will have to pay $2,034 in the sixth month.

Step-by-step explanation:

Since Carpet King is trying to increase sales, and it has instituted a new promotion by which all purchases can be paid on the installment plan with no interest, as long as the total is paid in full within six months, and there is a $20 minimum monthly payment required, if the Schuster family buys carpeting for $2,134 and makes only the minimum payment for five months, to determine how much will they have to pay in the sixth month, the following calculation must be performed:

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