To solve this we are going to use the formula for the area of a circle:
where
is the area of the circle
is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so
. Lets replace that value in our formula to find
:
We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
what do you need help with
Jays would have 1/10 of a pound left. This is the answer considering that 2 35 is 2 3/5 you find the common denominator then add the ywo then take away five.
Square prism
because of the two squares on the side and it’s a prism not a pyramid because it just isn’t lol
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° )
