Answer:
B) 77.5 square feet
Step-by-step explanation:
cut shape into rectangle and triangle
area of rectangle = x*y
area of rectangle = 5*13
area of rectangle = 65
area of triangle = (z-x)*(y-w)/2
area of triangle = 5*3/2
area of triangle = 7.5
Total area = 65 + 7.5
Total area = 77.5, B)
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
I'm guessing this is what the question is asking?
Answer:
5 months
Step-by-step explanation:
Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month
Let x = number of months
Daniel = 60 + 45.95x
Sydney = 0 + 57.95x
Equate both equations
60 + 45.95x = 0 + 57.95x
Collect like terms
60 - 0 =57.95x - 45.95x
60 = 12x
Divide both sides by 12
x = 60 / 12
= 5
x = 5 months
Daniel and Sydney would have paid the same amount for high-speed Internet service after 5 months
Answer: 16 books
Step-by-step explanation: 4 books each day for 4 days 4x4 = 16
