Answer:
Step-by-step explanation:
Factor constant terms:
Divide both sides by -2:
Expand trigonometric functions using the fact:
So:
Factor sin(x) and constant terms and multiply both sides by -1:
Split into two equations:
For (1)
Add 1 to both sides and divide both sides by 8:
Take the inverse cosine of both sides:
For (2)
Simply take the inverse sine of both sides
Therefore, the solutions are given by:
3 is incorrect, should be 28.9
16^2 + 18^2 = EG^2
256 + 324
580 = EG^2
EG ≈ 24.08
16^2 + 24.08^2 = AG^2
256 + 580 = AG^2
836 = AG^2
AG ≈ 28.9
5 is incorrect:
The base is 8.
Draw an altitude the base.
Since the triangle is isoceles, it divides the base in half.
Half of that base is 4.
Two right triangles have been formed with one leg 4 and hypotenuse 8.
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
b ≈ 6.93
The height of the triangle is 6.93, the base is 8.
A = bh/2 = 8*6.93/2 ≈ 27.7 ≈ 28
You would have to set you problem up like
x 40
____=_____
720 100
you would multiply 40 by 720 then you would divide 28,800 by 100 your answer will be 288.
Answer:
82 degrees
Step-by-step explanation:
Measure of arc ABC = 86*2 = 172 degrees.
Measure of arc DC = 360 - (145+172) = 360-317 = 43 degrees.
Measure of arc BCD = 121+43 = 164 degrees.
Measure of angle A = 164/2 = 82 degrees
Answer:
I can't really see the whole question, but for a cone the volume formula is πr2h
3
Step-by-step explanation:
