Answer:
x = 62.3 degrees.
Step-by-step explanation:
We should notice a certain trigonometric function that works here.
tan x = opposite side / adjacent side
tan x = 40/ 21
x = arctan (40/21) = 62.3005 degrees
x = 62.3 degrees.
Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
Answer:
Juan has lost 61 points, or has gained negative 61 points.
Step-by-step explanation:
0 - 28 = -28
-28 + 22 = -6
-6 + -20 = -26
-26 + -35 = -61
Answer:
5.8
Step-by-step explanation:
tangent = opposite over adjacent
10*tan(30) ≈ 5.774
round to the nearest 10th
5.8
