# Right triangles

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Please give answer and explanation and or steps if needed please to check my work.

1) Draw a right triangle whose sides (not the hypotenuse) have lengths of 8 and 15. Angle A is adjacent to the side of 8, and angle B is adjacent to the side with the length of 15. The tan A=?

2) For the same triangle in question 1 do for the sin A = ?, cos A, and tan B please.

3) If sin x = 0, then cos x =

a 0, b +/- 0.5, c +/- 1, d +/- 0.707, e +/- 0.866

4) If tan x = 1, then x = ?

a 0, b pi/4, c pi/3, d pi/2, e pi

5) What is the radius of a circle whose area is A?

a (pi) * A^2

b the square root of A divided by pi

c A divided by 2 * pi

d the square root of pi divided by A

e A divided by pi

6) Where does the graph of the line y=mx +b cross the x axis?

a b, b m/b, c b/m, d -b/m, e -m/b

7) There are 15 students for each professor. Let S = the # of students, and P = the number of profs. A correct expression for this is?

a P=15S,

b S=15P

c P/S=15

d P+S=16

e S-P=14

Thank you!

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##### Solution Summary

This shows how to work with trigonometric functions in a right triangle.

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See attachment please!

1) Draw a right triangle whose sides (not the hypotenuse) have lengths of 8 and 15. Angle A is adjacent to the side of 8, and angle B is adjacent to the side with the length of 15. The tan A=?

Then

2) For the same triangle in question 1 do for the sin A = ?, cos A, and tan ...

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

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- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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