Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).
The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.
For the y-value, we can write and solve:
sin75 = x/20
For the x-value, we can write and solve:
cos75 = x/20
A few ways. you can enter it into a calculator for one, but the easiest way would be to reference a unit circle and look for an ordered pair where sin (the y value), is equal to -1/2
on a unit circle, the sin value is -1/2 at 7pi/6 and 11pi/6
because sin is the y value, it will additionally be in the quadrants III or IV based on the fact that (-1/2) as a sin value IS a negative and would have to be found in a quadrant in which sin is negative (the lower half of a coordinate plane, in this case)
Answer:
:) 17
Step-by-step explanation:
68 = 4 x L
68 div by 4 = 17
the length is 17
Answer:
1.2
Step-by-step explanation:
The variance of a binomial distribution is:
σ² = n p (1 − p)
where n is the number of trials and p is the probability of success.
Given n = 5 and p = 0.40:
σ² = 5 (0.40) (1 − 0.40)
σ² = 1.2
