Answer:
B. 33
Step-by-step explanation:
The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...
x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2
x = 33
_____
The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...
Sin = Opposite/Hypotenuse
Tan = Opposite/Adjacent
Using these relations, we can find the sides of interest:
Opposite = Hypotenuse × Sin . . . . for the 45° triangle
Opposite = Adjacent × Tan . . . . . . for the 60° triangle
where the side opposite the 45° angle is the side adjacent to the 60° angle.
Answer:
Step-by-step explanation:
-8x - 8y = -20
8x + 8y = 24
0 ≠ 4
2y = -2x + 10
y = -x + 5
8y = -8x + 24
y = -x + 3
inconsistent
x = 3 ; y = 1
Given:
y = -2x + 7
y = 1/3x
Substitute y by its value to find x.
y = y
1/3 x = -2x + 7
x = (-2x + 7) ÷ 1/3
x = (-2x + 7) * 3/1
x = -6x + 21
x + 6x = 21
7x = 21
7x/7 = 21/7
x = 3
Substitute x by its value to solve for y.
y = -2x + 7
y = -2(3) + 7
y = -6 + 7
y = 1
y = 1/3 x
y = 1/3 * 3
y = (1*3)/3
y = 3/3
y = 1
Might be repeating if it is 5.78787878
because the number will always be the same when subtracting
