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Lelu [443]
3 years ago
5

How do I find the missing sides of this triangle by using trigonometry

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

You're given an angle, the adjacent side to that angle, and the hypotenuse.  So use cosine.

Cosine = Adjacent / Hypotenuse

cos 37° = 48 / x

Multiply both sides by x.

x cos 37° = 48

Divide both sides by cos 37°.

x = 48 / cos 37°

If desired, use a calculator to evaluate.

x ≈ 60.1

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Answer:

The test statistic for Business College is -0.9944

The test statistic for Liberal Arts College is 1.1483

The test statistic for Education College is 0

Step-by-step explanation:

The percentage of ABC University college students in

Business College = 35%

Liberal Arts College = 35%

Education College = 30%

The number of students in the sample = 300 students

In the sample, the number of students in;

Business College = 90

Liberal Arts College = 120

Education College = 90

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The percentage of Liberal Arts College,  = 120/300 × 100 = 40%

The percentage of Education College, \hat p = 90/300 × 100 = 30%

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Where;

\hat p = The sample proportion

p = The population proportion

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n = The sample size

The test statistic for Business College is;

z=\dfrac{0.3-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{90}}} \approx -0.9944

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z=\dfrac{0.4-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{120}}} \approx 1.1483

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7 0
2 years ago
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