ANSWER

EXPLANATION
The given trigonometric equation is

We factor cos(x) to get:

Apply the zero product property to obtain:


Using the unit circle,

when

and

We know

when

The sine function is negative in the third and fourth quadrants.


Hence the solutions are:

Consider the attached figure. If AB has length 1, then BC has length sin(15°) and CD (the altitude of triangle ABC) has length sin(15°)·cos(15°).
By the double angle formula for sin(α), ...
... sin(2α) = 2sin(α)cos(α)
Rearranging, this gives
... sin(α)·cos(α) = sin(2α)/2
We have
... CD = sin(15°)·cos(15°) = sin(2·15°)/2
... CD = sin(30°)/2 = (1/2)/2 = 1/4
That is, the altitude, CD, is 1/4 the hypotenuse, AB, of triangle ABC.
To find the mean of a set, add up all of the data points and divide by the number of data points.
For the first set:
(14+18+21+15+17) ÷ 5 = 85 ÷ 5 = 17
For the second set:
(15+17+22+20+16) ÷ 5 = 90 ÷ 5 = 18
To find the MAD (mean absolute deviation) of a set, find the mean of the distances of each data point from the mean.
For the first set:
(3+1+4+2+0) ÷ 5 = 10 ÷ 5 = 2
For the second set:
(3+1+4+2+2) ÷ 5 = 12 ÷ 5 = 2.4
To find the means-to-MAD ratio of a set, divide its mean by its MAD.
For the first set:
17 ÷ 2 = 8.5
For the second set:
18 ÷ 2.4 = 7.5
Answer:
210x=3717
x-3717/210
x=7.7 gal1
Step-by-step explanation:
Answer : option d
4.4, 5.8, 7.2, 8.6, 10, …
First we find the common difference between two terms
5.8 - 4.4 = 1.4
7.2 - 5.8 = 1.4
8.6 - 7.2 = 1.4
10 - 8.6 = 1.4
So common difference is 1.4
To find recursive rule, we add the difference with previous term
Recursive rule is 
a1 is the first term so a1= 4.4
d is the difference = 1.4
So recursive rule is
, where a1 = 4.4