Answer:






Step-by-step explanation:
Given
--- terminal side of 
Required
Determine the values of trigonometric functions of
.
For
, the trigonometry ratios are:


Where:


In 
and 
So:






<u>Solving the trigonometry functions</u>


Rationalize:






Rationalize
















The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
F(x) = x(x -1)
f(3) = 3*2 = 6
f(6) = 6*5 = 30
so f(f(3)) = 30 . . . . . selection A
We first calculate Emily's rate by dividing the distance from her home to the post office by the time it took her to travel that distance. From 8:25 to 8:29 (and 30 seconds), there are exactly 4.5 minutes. Thus, the rate is equal to,
r = (0.75 miles) / (4.5 minutes) = 1/6 miles/min
Then, we divide the given distance from her home to school by the calculate rate to determine the total number of minutes it will take her to travel to school.
t = (3.42 miles)/(1/6 miles/min) = 20.52 minutes
Adding this to 8:25 will give us an answer of 8:45 and 31.2 seconds. She will not be late.
Answer:
1 males choosing sport utility vehicle is 0.09
2 Females choosing sport utility vehicle is 0.56
3 Males choosing a sports car 0.16
4 Females choosing a sports car 0.19
5 Males or females utility is 0.65
6 Females or males sports car 0.35
Step-by-step explanation: Sorry if this is not the right answer