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IgorLugansk [536]
3 years ago
6

Both Pythagorean Theorem and trigonometric ratios are used with right triangles. Explain what information you need to apply to t

hese different methods and include examples to show how to use each.
Mathematics
2 answers:
Reika [66]3 years ago
7 0
If given the value of an angle of the right triangle (aside from the 90° angle), then the trigonometric ratios will be more useful for solving for the sides of the triangle. One could use sin, cosin, and tangeant, the main trigonmetric ratios to solve for all sides and angles of the triangle, if given at least one angle and one side length. 

The Pythagorean Theorem as it is generally applied, helps solve for the third side of a triangle, given that you know the other 2 sides. This is less applicable, and trigonometric ratios can also be used in this case to solve for the rest of the triangle's angles and the third side. 
vovangra [49]3 years ago
4 0

Answer:

Step-by-step explanation:

“If given the value of an angle of the right triangle (aside from the 90° angle), then the trigonometric ratios will be more useful for solving for the sides of the triangle. One could use sin, cosin, and tangeant, the main trigonmetric ratios to solve for all sides and angles of the triangle, if given at least one angle and one side length. 

The Pythagorean Theorem as it is generally applied, helps solve for the third side of a triangle, given that you know the other 2 sides. This is less applicable, and trigonometric ratios can also be used in this case to solve for the rest of the triangle's angles and the third side. “.- pyton

Read more on Brainly.com - brainly.com/question/6241673#readmore

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Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46
JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

M = \frac{50463-38737}{2} = 5863

Relating the margin of error with the sample size:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.64.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

For this problem, we have that \sigma = 14300, M = 5863. So

M = z\frac{\sigma}{\sqrt{n}}

5863 = 1.645\frac{14300}{\sqrt{n}}

5863\sqrt{n} = 1.645*14300

\sqrt{n} = \frac{1.645*14300}{5863}

(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2

n = 16

The sample size was of 16.

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3 years ago
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Answer:

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irina1246 [14]

Answer:

12 pieces of sausage can be cut from the 8 inch sausage if each piece is 2/3 of an inch.

Step-by-step explanation:

2/3 = 0.66

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Round down to 12.

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