The center of a ferris wheel is 55 feet above the ground. the ferris wheel completes one revolution every 40 seconds. the distance between the lowest and highest points of the ferris wheel is 100 feet.

a trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving. (a) what is the period of the function?

(b) what is the amplitude of the function?

(c) what is the midline of the function?

(d) sketch the first two periods of the graph of the function. plot and label the key points of the graph. label each axis with an appropriate scale

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Tom wants to order tickets online so that he and three of his friends can go to a water park the cost of the tickets is 16.00 per person there is also a 2.50 one-time service fee for ordering tickets online write an expression in term of n that represents the cost for n ordering tickets online

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.