Answer:
A<w
Step-by-step explanation:
Hopefully this helps
Answer:
D
Step-by-step explanation:
To find volume, you have to multiply all the given sides. Therefore, 14 x 5 x 6 = 2,100. (5 x 6=30 x 14=2100)
Answer:
I think the answer is option A
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: $42042.50
Step-by-step explanation:
We need to use algebra and equations.
A = P x (1 + (R/n)/100)^nt
our amount (A) is $72K
the number of times we compound the money (n) is 12 (12 months in a year, 'compounded monthly')
our rate (R) is 9 (9%)
our time (t) is 6 (6 years)
we need to find our principal/initial amount (p)
72000 = p x (1 + 0.0075)^12x6
p = $42042.50