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Vinvika [58]
3 years ago
10

In ΔLMN, the measure of ∠N=90°, the measure of ∠L=74°, and NL = 60 feet. Find the length of MN to the nearest tenth of a foot.

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer:

209.2

Step-by-step explanation:

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Three out of every 7 of the girls in class have bikes. If 12 girls have bikes, how many have not?
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28-12=16
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I need help with this one pls help
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4.8 points/minute

Step-by-step explanation:

Just divide total point over total minutes.

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Given: <br><br> ∆SPM, PK⊥ SM<br><br> SP = 25, SM = 28, PK = 9<br><br> Find: m∠S, m∠M, PM
nevsk [136]

Answer:

∠S = 21.10°

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Step-by-step explanation:

Here Pythagorean theorem and trigonometry suffice to solve our problem.

From the Pythagorean theorem we get:

KM^2+9^2=PM^2 and

(25-KM)^2+9^2=25^2.

We solve for KM in the second equation and get:

(25-KM)=\sqrt{25^2-9^2}

\therefore KM=25-\sqrt{25^2-9^2} =\boxed{1.68}

Now since

SK+KM=25\\\\ SK=\boxed{23.32}

Therefore

{\angle}S=Tan^{-1}(\frac{PK}{SK}) = Tan^{-1}(\frac{9}{23.32})=21.10^o

and

{\angle}M=Tan^{-1}(\frac{PK}{KM}) = Tan^{-1}(\frac{9}{1.68})=79.45^o.

And finally again from the Pythagorean theorem:

PM^2=PK^2+KM^2=9^2+1.68^2

\therefore PM=\sqrt{9^2+1.68^2} =9.16.

Thus,

∠S = 21.10°

∠M = 79.45°

PM = 9.16.

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Find and compare the unit costs of the two different bottle sizes.

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Answer:

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Step-by-step explanation:

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Now to find the individual cost, divide the cost of all the sweaters by the number of sweaters.

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