Answer:
A. csc θ=1/sinθ
Step-by-step explanation:
From SOHCAHTOA,
sine = opposite/ hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle. This is the inverse of sine , therefore:
Csc Ф = 1/ sinФ
Answer:
decreasing
Step-by-step explanation:
"Increasing" means the graph is going up from left to right.
"Decreasing" means the graph is going down from left to right.
"Constant" means the graph is "flat" (this is not a technical term) it is keeping the same y value, neither going up nor going down.
What can be super confusing is the
(2.2, 5) mentioned in the question. THIS IS NOT A POINT. It is an interval and points and intervals unfortunately have the same notation sometimes.
An "interval" is a section of the graph, here: FROM 2.2 not including 2.2, TO 5 not including 5. These are like the address on the x-axis. If you look at your graph at 2.2 on the x-axis, it is a peak(relative maximum) and it goes down to the right to where x is 5 where it bottoms out (relative minimum) So on that interval, from 2.2 to 5, the graph is DECREASING.
Let us suppose number of rides is x.One ride costs $0.50.
Cost of x rides is 0.50x. The carnival charges is $5. Alex has $15 to spend .
Number of rides at most Alex can have can be given by the inequality:
0.50x+5≤ 15
To solve for x we subtract 5 both sides
0.50x≤ 15-5
0.50x≤ 10
Dividing both sides by 0.50 we have :
x≤ 20
Number of rides at most Alex can have is 20.
