Answer:
24 feet
Step-by-step explanation:
We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.
We have to find the dimensions of the sheet metal
Let x feet be the side of square metal sheet
Length of box=x-12 feet (because 6 feet removed from each corner)
Width of box=x-12 feet
Height of box=6 feet
Volume of box=864 cubic feet
We know that volume of cuboid=
Box is in cuboid shaped
Therefore, volume of box=
Then ,
x=0 is not possible because side of square metal sheet can not be zero
Therefore, x=24
All sides of square metal sheet are equal.
Hence, side of square metal sheet =24 feet
What you need to do is plug each x value into the equation to find out the corresponding y value.
for example, when x=-2, y=(-2)²+3(-2)+2=4-6+2=0
the outputs are 0, 0, 2, 6, 12
Answer:
The radius of cylinder is 8 inches.
Step-by-step explanation:
We have given,
Volume of cylinder = 320π cubic inches
Height of cylinder = 5 inches
We know, Formula for volume of cylinder as : V =πr²h
where r is radius of cylinder and h is the height of cylinder.
So, We can plug values for V and h to get radius of cylinder.
i.e V = πr²h
320π = πr²* 5
Solving for r.
We get,
320 = r² * 5
320/5 = r²
64 = r²
or r = ±8 , Since radius of cylinder can not a negative number so we neglect -8.
Hence the radius of cylinder is 8 inches.
Answer:
(x, y) =(-6,4)
Step-by-step explanation:
3x-y=-28
-5x-4y=-10
y=3x+28
-5x-4(3x+28)=-10
y=3x+28
-5x-12x-112=-10
y=3x+28
-17x=-10+112
y=3x+28
-17x=102
y=3x+28
x=102/(-17)
y=3x+28
x=-6
y=3*(-6)+28
x=-6
y=-24+28
x=-6
y=4
x=-6
(x,y)=(-6,4)
