Answers by visitors named: iiswhoiis

hi!!! it's kesha and i would like to help! First, Simplify 8(3m + 5) = 2m + -4 Reorder the terms: 8(5 + 3m) = 2m + -4 (5 * 8 + 3m * 8) = 2m + -4 (40 + 24m) = 2m + -4 Reorder the terms: 40 + 24m = -4 + 2m Solving 40 + 24m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 40 + 24m + -2m = -4 + 2m + -2m Combine like terms: 24m + -2m = 22m 40 + 22m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 40 + 22m = -4 + 0 40 + 22m = -4 Add '-40' to each side of the equation. 40 + -40 + 22m = -4 + -40 Combine like terms: 40 + -40 = 0 0 + 22m = -4 + -40 22m = -4 + -40 Combine like terms: -4 + -40 = -44 22m = -44 Divide each side by '22'. m = -2 Simplifying m = -2 Finally, your answer would be m = -2 hope this helps!

Let A = top of the tower, B = base of the tower and C = point of observation => ∠ ACB = 12.5° Let θ = angle of inclination of the hill to the horizontal plane. => ∠ CAB = 90° - (12.5° + θ) Applying sine rule to the triangle ABC, sin [90° - (12.5° + θ)] / 650 = sinθ / 150 => cos (12.5° + θ) / sinθ = 650/150 => cos(12.5°) cotθ - sin(12.5°) = 13/3 => (0.9763) cotθ = 4.3333 + 0.2164 => cotθ = 4.6602 => θ = 12.11° - Kesha wait, what's the answer choices???

do the choices happen to be: A. 5°54' B. 7°10' C. 6°12' D. 7°50 ?

1/3 because if so, it would be D) Reasoning: Applying sine rule to the triangle ABC, sin [90° - (12.5° + θ)] / 650 = sin(12.5°) / 150 => cos (12.5° + θ) / sin(12.5°) = 650/150 => cot(12.5°) cosθ - sinθ = 13/3 => 4.5107 cosθ - sinθ = 4.3333 => 4.5107 (1 - tan^2 (θ/2)) - 2tan(θ/2) = 4.3333 (1 + tan^2 (θ/2)) => 8.841 tan^2 (θ/2) + 2tan(θ/2) - 0.1774 = 0 => tan(θ/2) = 1/(17.682) [- 2 + √(4 + 6.2736)] => tan(θ/2) = 0.06816 => θ/2 = 3.9° => θ = 7.8°. Answer: D).

also to the teachers, please don't remove this. i am completely aware i have very little say, whatsoever, but i want people to know i'm doing this.

you guys abuse them.

ugh, you guys need help.