ocean11618

02.12.2020 • 

Mathematics

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?

Ответ:

mkpayton2006

26.02.2023

Mathematics

---

First drawing - answer is:  D: DG, FG and DE

Second drawing - answer is:  π (pi)

Third drawing - answer is:  70° ( If you mean on measure of central angle which is corresponing to the arc CB)

Fourth drawing - answer is: y=55° ( If you mean that the value of angle ∠AOB=70° )

Step-by-step explanation:

For the second drawing

arc AB = (r · π / 180) · α = (3 · π/180) · 60 = (180 · π) / 180 = π

For the third drawing

∠CAB is peripheral angle of the central angle ∠CFB.

∠CFB= 2·∠CAB= 2· 35° = 70°

Good luck!!!

---

0,0(0 оценок)