Answer:
The answer is 166
Step-by-step explanation:
How you find the answer is easy, you just divide 3,000 by 18. So it will look like this: 3,000/18. Then, once you have that, put the equation into a calculator and you get 166.
The radius is the line segment from the exact center of the circle to any edge.
So the center of the circle being F, the answer FE would be correct.
Answer:
x = 7
Step-by-step explanation:
Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation
x = c
where c is the value of the x- coordinates the line passes through, then
x = 7 ← equation of line
Answer:
1. 0, 2 π , π , 2 π/3 , 4 π/3
2. 7 π/6 , 11 π/6
Step-by-step explanation:
1. we want to find the value of theta
Let us represent theta by x for ease of documentation
So we have ;
sin 2x + sin x = 0
Mathematically;
sin 2x = 2sinxcosx
So;
2 sin x cos x + sin x = 0
sin x (2 cos x + 1) = 0
sin x = 0
or
2cos x + 1 = 0
x = arc sin (0)
within the given range;
x = theta = 0 , 2 π , π
For;
2 cos x + 1 = 0
2cos x = -1
cos x = -1/2
cos x = -0.5
x = arc cos (-0.5)
x = 2 π/3 , 4 π/3
2. cos 2 x = 1 + sin x
Mathematically;
cos 2 x = 1-2 sin^2x
let sin x = y
1-2y^2 = 1 + y
y = -2y^2
1 = -2y
y = -1/2
y = -0.5
sin x = y
sin x = -0.5
x = arc sin (-0.5)
x = 7 π/6 , 11 π/6
