What are the coordinates of Z?
1 answer:
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Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Answer:
The probability that the person reaches home for the holidays is 0.94.
Step-by-step explanation:
A person wants to go home for Thanksgiving and he has booked a flight with US-Scareways.
It is provided that in 30 percent of the cases the company has canceled the flight you were on.
SO there is 70% chance of reaching home without any difficulties.
In case the flight is cancelled, then as a backup the person's friend Walter offers a ride home.
Walter also has a 80% chance of giving the ride. So there is 20% chance the person will not be able to reach hone if his flight gets cancelled.
Consider the tree diagram below.
The events are:
FC = flight is cancelled
FT = Flight is on time
H = reaches home
Compute the probability that the person reaches home as follows:
P (Reaching Home) = P (H|FC) × P (FC) + P (FT)
Thus, the probability that the person reaches home for the holidays is 0.94.
