Using the cosine double angle formula,
(Note I took the positive case since 
terminates in the first quadrant)
Using the Pythagorean identity,
(Note I took the positive case since terminates in the first quadrant)
Answer:
2.28%
Step-by-step explanation:
As this is normally distributed, we can use z scores to find the percentage.
First, find the z-score for 148.
The z-score that you get is:
(148-160)/2=2
As we see that z=2, we can use a calculator or a z-score chart to find the percentage less than a z score of 2.
I used my chart and found: 2.28%
9514 1404 393
Answer:
49°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
∠A +∠B +∠C = 180
(x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees
5x +95 = 180
5x = 85
x = 17
x +32 = 49 . . . . measure of ∠A
Lets take any two points on the line . I took (-2,-2) and (0,-3)
slope is rise/run = -3-(-2)/ 0-(-2) = -3+2/2= -1/2
answer is -1/2
