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° )
Answer:
21 (PLEASE GIVE BRAINLIEST)
Step-by-step explanation:
we have the base, but we need the height
we will find it using the area:
height = 336 / 16 = 21
B= ice cream bar
C= new calorie count
Expression:
C=(0.03B) + B
C=(3% * 692)+692
C=(0.03 * 692)+692
C=20.76+692
C=712.76 or rounded to 713= new calorie count
Hope this helps! :)
Answer:
Answers?
Step-by-step explanation:
Hopefully this is the correct answer i'm sorry if it's wrong.
Answer:
Step-by-step explanation:
A ratio compares two quantities in terms of multiplication. For example, suppose that there are 10 boys and 15 girls in a classroom. One way, not using ratios, to compare these quantities would be to say that there are 5 more girls than boys in the classroom. To employ a ratio, we say that the ratio of boys to girls is 10 to 15, or 2 to 3. In other words, for every 2 boys in the classroom, there are 3 girls.
In your case, for every 40 boys, there are 20 girls. if we simplify this all the way down, we can get 2 to 1.
All of the following are ratios that apply to your question:
40 to 20
20 to 10
10 to 5
4 to 2
2 to 1
I hope I helped you out! <3
