Option a: 
is the length of b
Explanation:
The angle of B is 
and 
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where , ,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is 
Hence, Option a is the correct answer.
Answer:
Step-by-step explanation:
It is given that a meteorologist is using a Doppler radar to find out the distance of the storm as it passes using a polar grid.
The origin of the radar screen is its center.
And the distance between each ring is 10 miles from the center.
So let :
r = radius
h and k = be the coordinates of the center.
So the equation of a circle is :
Now the equation of the fourth circle when the radius changes by 10 miles is :
F(x) = 2^x; h(x) = x^3 + x + 8
Table
x f(x) = 2^x h(x) = x^3 + x + 8
0 2^0 = 1 0 + 0 + 8 = 8
1 2^1 = 2 1^3 + 1 + 8 = 10
2 2^2 = 4 2^3 + 2 + 8 = 8 + 2 + 8 = 18
3 2^3 = 8 3^3 + 3 + 8 = 27 + 3 + 8 = 38
4 2^2 = 16 4^3 + 4 + 8 = 76
10 2^10 = 1024 10^3 +10 + 8 = 1018
9 2^9 = 512 9^3 + 9 + 8 = 729 + 9 + 8 = 746
Answer: an approximate value of 10
Answer:
5 hours
Step-by-step explanation:
If he drove 360 miles in 6 hours, that means he drives 60 miles per hour.
300 divided by 60 is 5, so he will need to drive for 5 more hours
Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
