Answer:
D -24/25
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
cos(x) = ⅘
sin²(x) = 1 - cos²(x) = 1 - (⅘)²
sin²(x) = 9/25
sin(x) = -⅗
(Because 4th quadrant)
sin(2x) = 2(-⅗)(⅘)
= -24/25
we are given

we have to find theta
so, firstly we can write sin in terms of cos

now, we can set it equal

Since, both sides are cos
so, we can set angles equal

now, we can solve for theta
we get
..............Answer
From the graph, the given points are (2,-1) and (4,0). Use the distance between two points formula:

Substitute these points in the formula.

Hence, the distance is √5
Answer
36 x 25%
36 x .25
36 x .25 = 9.00
36 - 9.00
36 - 9.00 = $27
C. $27.00