Answer:
56.52 units² or 18π units²
Step-by-step explanation:
The formula for the area of a sector is:
A = πr²(x/360°)
where r is the radius and x is the measure of the central angle
Let's substitute the given measures into this equation:
A = πr²(x/360°)
A = (3.14)(12²)(45/360)
Solve:
A = (3.14)(12²)(45/360)
A = (3.14)(144)(45/360)
A = (452.16)(45/360)
A = (452.16)(.125)
A = 56.52
Therefore, the area of the sector is 56.52 units² or 18π units²
Answer:
D
Step-by-step explanation:
Given:
The volume of a cube-shaped box is
cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:


It is given that the volume of a cube-shaped box is
cubic meter.

Taking cube root on both sides, we get

Now, the perimeter of each face of a cube is:

Where, a is the side length of the cube.
Putting
, we get


Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
1. x=4, y=0
3. x=2.6666, y=0.3333