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sashaice [31]
3 years ago
9

Given triangle ABC, A = 120°, a = 8, b = 3; determine B to the nearest whole degree. Do not use a decimal point or extra spaces

in the answer or it will be marked incorrect.
Mathematics
2 answers:
zubka84 [21]3 years ago
4 0
The answer is 45
8/120. = 3/x cross multiply
Aleks04 [339]3 years ago
3 0

Answer:

∠B = 19°

Step-by-step explanation:

In the triangle ABC,

                       ∠A = 120° side a = 8 and b = 3

We have to find angle B.

We will apply sine rule in this triangle

\frac{a}{sinA}=\frac{b}{sinB}

\frac{8}{sin120*}=\frac{3}{sinB}

8 sin B = 3 sin 120°

Sin b = \frac{3}{8} (sin 120°) =  \frac{3\times 0.866}{8} = 0.3248

B = sin⁻¹ (0.3248)

  = 18.95 ≈ 19°

Therefore, ∠B = 19° is the answer.

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Answer:

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\hat{CV} =\frac{18.68}{127.5}=0.147

Systolic on left

\hat{CV} =\frac{12.65}{74.2}=0.170

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

Step-by-step explanation:

Assuming the following data:

Systolic (#'s on right) Diastolic (#'s on left)

117; 80

126; 77

158; 76

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157; 90

122; 89

116; 60

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The coefficient of variation is defined as " a statistical measure of the dispersion of data points in a data series around the mean" and is defined as:

CV= \frac{\sigma}{\mu}

And the best estimator is \hat {CV} =\frac{s}{\bar x}

Systolic on right

We can calculate the mean and deviation with the following formulas:

[te]\bar x = \frac{\sum_{i=1}^n X_i}{n}[/tex]

s= \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}

For this case we have the following values:

\bar x = 127.5, s= 18.68

So then the coeffcient of variation is given by:

\hat{CV} =\frac{18.68}{127.5}=0.147

Systolic on left

For this case we have the following values:

\bar x = 74.2 s= 12.65

So then the coeffcient of variation is given by:

\hat{CV} =\frac{12.65}{74.2}=0.170

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

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