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sergeinik [125]
3 years ago
14

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

Mathematics
1 answer:
wel3 years ago
4 0

Answer:

m∠A ≈ 43°

m∠B ≈ 55°

mBC ≈ 20

Step-by-step explanation:

Law of Sines: \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Step 1: Find m∠B

\frac{29}{sin82} =\frac{24}{sinB}

Step 2: Solve for ∠B

29sinB = 24sin82°

sinB = 24sin82°/29

B = sin⁻¹(24sin82°/29)

B = 55.038°

Step 3: Find m∠A

180 - (55.038 + 82)

180 - 137.038

m∠A = 42.962°

Step 4: Find BC

\frac{29}{sin82} =\frac{BC}{sin42.962}

Step 5: Solve for BC

29sin42.962° = BCsin82°

BC = 29sin42.962°/sin82°

BC = 19.9581

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Step-by-step explanation:

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Mr. Nelson sold 14 bags of popcorn and 21 bottles of water in today. At this rate, how many more bottles of water than bags of p
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Answer:

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Step-by-step explanation:

Step  1  :

           1

Simplify   —

           2

Equation at the end of step  1  :

               1

 (-4x - 2) +  (— • (12x - 22))

               2

Step  2  : Pulling out like terms :

3.1     Pull out like factors :

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Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

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Equation at the end of step  3  :

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