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True [87]
3 years ago
11

Solve the triangle. B = 36°, a = 38, c = 18

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0
Using cosine law.

b= sqrt(38^2 + 18^2 - 2(38)(18) Cos 36)
using calculator solve.
b = sqrt (1444 + 324 - 1106.75)
b = 25.75
nignag [31]3 years ago
6 0

Finishing the answer above:

B=36

a=38

c=18

b=25.7

a-b-c (SSS) {a^2=b^2+c^2-2ab(CosA) [Law of Cosines]

38^2=25.7^2+18^2-2(25.7)(18)(CosA)

1444=660.49+324-925.2(CosA)

1444=984.49-935.2(CosA)

459.51=-935.2(CosA)

-0.491349443969204=CosA

A=119.43

b-B-C (SAA) {(SinC)/c=(SinB/b)} [Law of Sines]

(SinC)/18=(Sin36)/25.7

(SinC)/18=0.022871021489979

SinC=0.411678386819631

C=24.31

A=119.43

B=36

C=24.31

a=38

b=25.7

c=18

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4 years ago
11.3x + 7.2 = 86.3<br><br> A) 0.7<br> B) 7<br> C) 8<br> D 8.3
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8 0
4 years ago
Of the 125 members of the marching band, 42 are in chorus, 78 play
Margarita [4]

Using it's concept, it is found that there is a 0.2979 = 29.79% probability that they are in chorus, given that they do not play a sport.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

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More can be learned about probabilities at brainly.com/question/14398287

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