Suppose that you want to model the height of a rider on a ferris wheel as a function of time. the amplitude of the function you use as a model should be equal to which of the following?
a. the area of the ferris wheel
b. the circumference of the ferris wheel
c. the diameter of the ferris wheel
d. the radius of the ferris wheel

d. the radius of the Ferris wheel

Step-by-step explanation:

We now that the amplitude is the vertical distance between a peak or a valley and the equilibrium point.

Thus in the case of Ferris wheel the amplitude should be the difference between the peak(highest) and equilibrium point or equillibrium point and valley(lowest) points .

i.e. it should be half of the diameter of the circle. Since half of diameter of a circle is equals to radius.

Therefore, the amplitude of the function you use as a model should be equal to the radius of the Ferris wheel.  

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: