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 
Answer:
24 ft^2
Step-by-step explanation:
The small aquarium:
1 * 3 * 2 = 6 ft^2
The large aquarium
(1 + 1) * (3 + 2) * (2 + 1)
2 * 5 * 3 = 30 ft^2
Difference between the larger aquarium and the smaller aquarium:
30 - 6, or 24.
This means that the answer to this question is a, 24 ft^2
Class 1= 6+x
class 2 = x
total= 50
so you need to find the x
50=6+x+x
50=2x+6
50-6=2x
44=2x
22=x
22+6
28 is the larger class