The illustration is omitted. Please see the attachment below.
Answer:
The area of the shaded sector is 144π square units.
Step-by-step breakdown:
Given:
The central angle for the sector is, 
The circle's radius is, 
The area of a sector with radius 'R' and angle
can be determined with:

Substituting
gives

Thus, the area of the shaded sector calculates to 144π square units.
The factors of 36 include: 1, 2, 3, 4, 6, 9, 12, 18, 36.
For 34, the factors are: 1, 2, 17, 34.
The factors of 22 are: 1, 2, 11, 22.
The greatest common factor (GCF) is 2.
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
The volume calculation for the dimensions of 16 ft by 18 ft by 1/3 ft is as follows:
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
Thus, 96 cubic feet of concrete will be required.
Dimensions of the rectangle are defined as Length=2x
Width=x
The formula for perimeter is given by 2(Length) + 2(Width).
First, we need to determine the dimensions of the rectangle, specifically its length and width.
We can derive this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4
Consequently, Length becomes 2x, leading to 2(4)=8.
Therefore, the length is 8 inches and the width is 4 inches.
Next, we will calculate the area of the rectangle.
The area can be computed as Length multiplied by Width.
Area=(8 in)(4 in)=32 in²
Conclusion: The area of Marshall's rectangular poster is 32 in².