What is the correct sequence of steps? Review the proof (not in order) of the identity
1-cos(x)
sin
=
2
O 1-2-3-4-5
O 1-2-4-3-5
Step
1
O 1-4-2-3-5
0 1-4-3-2-5
2
sin
(3)
sin
sin)
sin (0)
3
Statement
csc(x) - cot(x)
2 csc(x)
1 - cos(x)
sin(x)
sina
2
sin(x)
1 - cos(x)
2
1
cosa
sin(x) sin(x)
2
sin(x)
1 - cos(x)
=
2
4.
5

If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes