12 and 1/8, I just simplified 2/16 to 1/8
1. Combining like terms
2. Combining
Answer:
θ = 
(60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = 
, so
θ = 
( ) = ( or 60° )
The answer is B I think not 100%
<u><em>Answer:</em></u>
The least amount of money they could have spent is $24
<u><em>Explanation:</em></u>
To get the least amount of money they could have spent, we will need to get the lowest common multiple of both numbers (6 and 8).
This means that we need to find that least number that is found in both multiplication tables
Multiples of 6:
6 * 1 = 6
6 * 2 = 12
6 * 3 = 18
6 * 4 = 24
Multiples of 8:
8 * 1 = 8
8 * 2 = 16
8 * 3 = 24
Noticing the two multiples, we can note that the lowest common multiple is 24.
This means that the lowest amount they could have spent is 24
Hope this helps :)
