2.418 x 10^8 is the answer.
Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
Answer:
Step-by-step explanation:
<u>Use the law of sines:</u>
- AC / sin B = AB / sin C
- 100 / sin B = 250 / sin 95°
- sin ∠B = 100 sin 95° / 250
- sin ∠B = 0.39847787923
- m∠B = arcsin 0.39847787923
- m∠B = 23.5° (rounded up)
