Answer:
Step-by-step explanation:
Area of the sector is modeled by the expression = 
Here, θ = central angle subtended by the arc
r = Radius of the circle
Area of the red sector = 
= 937.311
≈ 937.31 m²
Therefore, area of the red sector is 937.31 m².
Answer:
4x³ - 30x² + 54x
Step-by-step explanation:
Length of the rectangular cardboard = 9 inches
Width of the rectangular cardboard = 6 inches
if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have
Length of the tray = length of cardboard - 2(side of square )
= 9 - 2x
Width of the tray = width of cardboard - 2( side of square)
= 6 - 2x
height of tray = sides of square
= x
volume of tray = Length × width × height
= (9 - 2x) (6 - 2x) (x)
Open the parenthesis
= (54 - 18x - 12x + 4x²)(x)
= 54x - 18x² - 12x² + 4x³
= 54x - 30x² +4x³
Re-arrange
4x³ - 30x² + 54x
Volume, V of the tray in terms of x = 4x³ - 30x² + 54x
Answer:
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Step-by-step explanation:
sheeeeesh
1) 18
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35
