Answer:
A
Step-by-step explanation:
pythagorean theorem
A^2+B^2=C^2 do that for all sides then add
Answer:
The following variable is categorical.
Step-by-step explanation:
Consider the provided information.
Categorical variables: It take the values of categories or labels and position an entity in one of more classes.
Quantitative variables: It take numerical values and represent a calculation of some kind.
Now consider the given scenario.
Teenagers with a question that asks ‘‘Do you eat at least five servings a day of fruits and vegetables?"
Here we have two categories i.e fruits and vegetables.
Therefore, the following variable is categorical.
Answer:
i think the 2nd one
Step-by-step explanation:
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° )