Bob boards a ferris wheel that spins in the counterclockwise direction. The wheel has a radius of 100 ft. The ride lasts 12 minutes and consistes of 3 complete revolutions. Bob reaches the top for the first time 100 seconds after boarding the wheel. Required:
a. Impose a coordinate system with the origin at the center of the wheel and the top point on the positive y-axis. What are Bob's coordinates at any time t?
b. What are Bob's coordinates after 1 minute?

i need a picure

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees