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3 years ago

Given the following triangle, if b = 9 and < B = 15°, find a. 0.27 2.41 33.59

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

From the right triangle given, to obtain the unknown value we use the Trigonometry:
s/t
tan B=b/a
where:
B=15°
b=9
thus the value of a will be:
tan 15=9/a
solving for a we get:
a=9/tan 15
a=33.588~33.59

Answer: <span>33.59</span>

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and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

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think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

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Sample size, n = 130

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Population standard deviation, σ = 0.8

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$H_{0}: \mu = 6.3\text{ pounds per square inch}\\H_A: \mu > 6.3\text{ pounds per square inch}$

We use one-tailed z test to perform this hypothesis.

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$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

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If the calculated statistic is greater than the the critical value, we reject the null hypothesis and if the calculated statistic is lower than the the critical value, we accept the null hypothesis

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