Answer:
R = √2
α = π/4 or 45°
Step-by-step explanation:
R cos(2n + α)
Use angle sum formula:
R [cos(2n) cos α − sin(2n) sin α]
R cos(2n) cos α − R sin(2n) sin α
Match the coefficients:
R cos α = 1
R sin α = 1
Divide:
tan α = 1
α = π/4 or 45°
Solve for R:
R cos(π/4) = 1
R / √2 = 1
R = √2
She bought 108 water bottles and 108 sandwiches
A change from 20 to 25 represents a positive change (increase) of 25% Percent change = [(20 - 25) / 20] x 100 = 25 % (increase)Where: 20 is the old value and 25 is the new value. In this case we have a positive change (increase) of 25 percent because the new value is greater than the old value.
Hope this helps :)
40+3.50x5=57.50 so you purchased 5 movies for the total of 57.50 at the end of the month
(5/6)/ (-2/3)
5/6 x (-3/2)
-15/12
-5/4 is your answer
hope this helps