Given:
Radius of circle = 12 units
Area of sector = 24π sq. units.
Central angle = x
To find:
The value of x.
Solution:
We have,
We know that, area of a sector is
Where, 
is central angle, r is radius.
Multiply both sides by 360 degrees.
The value of x is 60 degrees.
Therefore, the correct option is A.
F(x) = 3x+1
G(x) = X^2 - 6
F(G(x)) = F(X^2 - 6) = 3(X^2 - 6) + 1 = 3X^2 - 18 + 1 = 3X^2 -17
F(G(x)) = 3X^2 - 17
Answer:
7.74 square cm
Step-by-step explanation:
To find the leftovers, calculate the area of the square and the area of the circle. Then subtract the two.
Square: A = s*s = 6*6 = 36
Circle: 
The area leftover is A = 36 - 28.26 = 7.74
Answer:
20 ice cubes. Hope this helps!! ;)
Step-by-step explanation:
<span>So, the volume of a container can also be thought of as the amount of liquid that the container is capable of holding. It follows that 450=(length)(width)(height). The constraints of the problem say that the length of the box must be twice as large as the width, so it follows that j(height)=(2w)(w)(height)-450. This then implies that j(height)=(2w^2)(height)-450. In simpler terms, the height is defined as 450/(2w^2), or j(w)=450/(2w^2).</span>
