Ella Vader (Darth's other daughter) rides a Ferris wheel. As the wheel turns, her distance, y, from the ground, measured in feet, varies sinusodially with time, t, measured in seconds, according to the equation y = 30 + 25sin(π/40(t + 3)).

a) When the last seat was filled, and the Ferris wheel started moving at t = 0, how high above the ground was Ella at this time?

b) How high above the ground was Ella at t = 1 second?

c) How many seconds does it take to go around once?

d) If the rides lasts 390 seconds, how many times is she 50 feet in the air? What are the times?

Consider the diagram. which line segment has the same measure as st? rx tx sr xs

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

Drag the tiles to the correct boxes to complete the pairs. match the cart-coordinates with their corresponding pairs of y-coordinates of the unit circle