(This looks basic, but I need help) In the table below, x represents miles traveled and y represents the cost to travel by train
.
Table
x y
2 8.50
5 15.25
8 22.00
12 31.00
What is the y-intercept of this function?
a. 2.25
b. 4.00
c. 6.50
d. 17.13
Table
x y
2 8.50
5 15.25
8 22.00
12 31.00
What is the y-intercept of this function?
a. 2.25
b. 4.00
c. 6.50
d. 17.13
2 answers:
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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).
