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:
-10x < 40
x > -4
Answer:
see explanation
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - h) then
f(h) is the remainder, thus
division by (x - 1) then h = 1
f(1) = 4(1)³ - 7(1)² - 2(1) + 6
= 4 - 7 - 2 + 6 = 1 ← remainder
The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0
Here f(1) = 1
Hence (x - 1) is not a factor of f(x)
Sec^-1 OR arcsec .........
Answer:
-3.5
Step-by-step explanation:
Hope this helps
