Answer:
34 gallons of honey left
Step-by-step explanation:
Answer:
Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70
so angle BXC is 70 degrees.
Answer:
x < 2
Step-by-step explanation:
Given
5 + 2x < 9 ( subtract 5 from both sides )
2x < 4 ( divide both sides by 2 )
x < 2
Answer:
A
Step-by-step explanation:
Note that
x² + 12x + 36 is a perfect square → (x + 6)², hence
=
= (x + 6)
Hence
f(x) × g(x)
= (x + 6)(x³ - 11)
=
- 11x + 6x³ - 66
=
+ 6x³ - 11x - 66 → A
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 = 
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given: 

Divide by 2: 

Square root: 
Scratchwork: 

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

LHS = RHS 