Answer:
∠ a = 60° , ∠ b = 120°
Step-by-step explanation:
Supplementary angles sum to 180° then
x - 40 + x + 20 = 180 , that is
2x - 20 = 180 ( add 20 to both sides )
2x = 200 ( divide both sides by 2 )
x = 100
Then
∠ a = x - 40 = 100 - 40 = 60°
∠ b = x + 20 = 100 + 20 = 120°
Answer:
60 minutes, or 1 hour.
Step-by-step explanation:
90 minutes ÷ 3 = 30 minutes, so 30 minutes equals 1 third of the total time he spent at the gym, and he lifted weights for 30 minutes. The remaining 2 thirds, 60 minutes, is the time he spent on the treadmill.
Answer:
254 cubic feet.
Step-by-step explanation:
It is given that the a cylindrical tank is 6 feet across and 9 feet deep. It means
Diameter of cylinder = 6 feet
Radius of the cylinder = 6/2 = 3 feet
Height of the cylinder = 9 feet
The volume of a cylinder is

where, r is radius and h is height of the cylinder.
Substitute r=3 and h=9 in the above formula.



We need to find the maximum number of cubic feet. So approx the value to a whole number.

Therefore, the maximum number of cubic feet of paint the tank will hold is 254 cubic feet.
I would say gallons. It honestly depends how big it is. However, the common pitcher holds about a gallon. I hope I helped!
Answer:
f(x) = 
Step-by-step explanation:
First of all, if 2 - i is a zero, then so is 2 + i
All you need to do now is multiply (x - 1)(x - 3)(x - 2 + i)(x - 2 - i)
I will do part of that multiplication
(x - 2 + i)(x - 2 - i) =
- 2x - xi - 2x + 4 + 2i + xi - 2i - 
=
- 4x + 5
So, now (x - 1)(x - 3)(
- 4x + 5) = 
I will let you finish that multiplication. I did some and you can do some. OK?