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Karo-lina-s [1.5K]
3 years ago
6

Using law of cosines, what is angle X to the nearest degree

Mathematics
2 answers:
Sliva [168]3 years ago
6 0

Answer:79 degrees

Step-by-step explanation:

Jus took the test hope this helps

Monica [59]3 years ago
3 0

Answer:

X=68\°

Step-by-step explanation:

we know that

Applying the law of cosines to the triangle of the figure

yz^2=xy^2+xz^2-2(xy)(xz)cos(X)

substitute the given values

9^2=8^2+8^2-2(8)(8)cos(X)

Solve for X

81=64+64-128cos(X)

81=128-128cos(X)

128cos(X)=128-81

128cos(X)=47

cos(X)=\frac{47}{128}

using a calculator

X=cos^{-1}(\frac{47}{128})

X=68\°

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The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls
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Answer:

a) t-statistic  t = 0.9532

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 16

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The mean of the sample = 17.1

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The standard deviation of the sample (S) = √36 = 6

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  t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

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b)

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c) given that the sample size n = 81

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The new standard error is defined by

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