Answer:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.
Step-by-step explanation:
We are told that:
A cube has volume 64 centimeters cubed.
The formula for the volume of a cube = s³
Where s = side length
Hence
64 cm³ = s³
We can find s by finding the cube root of both sides
Hence,
cube root(64) = cube root(s³)
s = 4 cm
Note that 64 is a perfect cube because 4 × 4 × 4 = 4³ = 64 cm³
Therefore, it can be concluded of the cube that:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.
Answer:
The sprinkler can spread water 18 feet away.
Step-by-step explanation:
We are given the following in the question:
Area formed by watering pattern = 1,017.36 square feet
We have to find the how far the sprinkler spread the water.
The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.
Area of circle =
where r is the radius of the circle.
Putting values, we get,
Thus, the sprinkler can spread water 18 feet away.
1570.29 Is what I came up with, though I'm not entirely certain. I just figured I'd give it a shot
Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
