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Scilla [17]
3 years ago
7

The ratio of boys to girls at a local sports club is 3 to 1 if there are 45 girls, how many boys are there

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

135

Step-by-step explanation:

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URGENT ANSWER NOW In △ABC, A=59∘, a=20, and c=21. What are the two possible values for angle C to the nearest tenth of a degree?
PilotLPTM [1.2K]

Answer:

The two possible values of C are 64.2° and 115.8°

Step-by-step explanation:

* In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A

# b is opposite to angle B

# c is opposite to angle C

- m∠A = 59°

- a = 20

- c = 21

* To find the distance m∠C we can use the sin Rule

- In any triangle the ratio between the length of each side

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- c/sinC = a/sinA = b/sinB

* Lets use it to find the m∠C

∵ 21/sinC = 20/sin(59)

∴ sin(C) = 21 × sin(59) ÷ 20 = 0.9000256657

∴ m∠C = sin^-1(0.9000256657)  = 64.16144°

∴ m∠C = 64.2°

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* The two possible values of C are 64.2° and 115.8°

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3 years ago
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