Answer:

Step-by-step explanation:
The cylindrical basin has a height of 2 ft and a diameter of 5 ft.
To find the amount of water that will completely fill up the basin, we simply need to find the volume of the basin.
The volume of a cylinder is given as:

where r = radius of the basin (half the diameter) = 2.5 ft
h = height of the basin
Hence, the volume is:
≅ 
The cylindrical basin can hold up to
of water.
Answer:
1/2 pi
Step by step explanation:
Find the circumference
2πr = 2xπx2 = 4π
Find the angle of JHI
Since 1/2π is 1/8 of 4π,
Angle JHI should also be 1/8 of 360 = 45 degrees
To find area, 45/360 x π X 2^2
= 1/8 x 4π
= 1/2 π
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
Answer:
i^2 = -1.
i^71=(i^70)i=(i²)^35×i=(-1)^35×i=-1×i=-i