Mathematics, 05.02.2021 06:50 haileysmile2006

What is the measure of angle N?

Answers: 2

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Answers

Answer from: craycrayjayjay123

A) 61 degrees

=========================================================

Work Shown:

Apply the law of sines

sin(N)/MO = sin(O)/MN

sin(N)/18 = sin(17)/6

sin(N) = 18*sin(17)/6

sin(N) = 0.87711511416821 ................. which is approximate

N = arcsin(0.87711511416821)

N = 61.296295678111

N = 61 degrees approximately

----------------------

Notes:

Arcsine is the same as inverse sine. Your calculator is likely to have a button labeled $\sin^{-1}$ to indicate inverse sine.There are two solutions to sin(N) = 0.877; however, the other solution for N is larger than 90. This triangle your teacher is showing appears to be an acute triangle where every angle is less than 90 degrees. Technically two triangles are possible with these current given sides and angle.

Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

however, the intention of the question provider may have been that your answer is to be

87.12

(

100

)

94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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