Answer:
Evaluate:
-
- 
Factor:
Step-by-step explanation:
first convert 0.88 to degrees
so arcsin(0.88) = 61.642 degrees
Arcsin on a calculator is sin^-1
then to convert to radians divide degrees by 180 and multiply that by PI
so (61.642/180) x PI = 1.076 radians
They are x = 8 and x = -4
Answer:
the probability that the x-coordinate of the point is negative and the y-coordinate of the point is positive is 16.36%
Step-by-step explanation:
Assuming that each point has the same probability to be chosen ( uniform probability distribution in the rectangle area ) then the probability of choosing a negative x-coordinate and positive y-coordinate is the ratio of the area with those requirements over the total area of the rectangle.
therefore
Ar= area of negative x-values and positive y-values = (-3)*6 = 18
AT= total area of the rectangle = [8-(-3) ]*[6-(-4)] = 110
then
probability = Ar/AT = 18/110 = 0.1636 = 16.36%
