The volume of the rectangular set of stairs is V = 12,960 inches³
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the total volume of the rectangular set of stairs be represented as V
Now , the value of V is
Let the volume of the first stair be A
The length of stair A = 30 inches
The width of A = 12 inches
The height of A = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair A = 30 x 12 x 4 = 1,440 inches³
Let the volume of the second stair be B
The length of stair B = 30 inches
The width of B = 36 inches
The height of B = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair B = 30 x 36 x 4 = 4,320 inches³
Let the volume of the third stair be C
The length of stair B = 30 inches
The width of B = 60 inches
The height of B = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair C = 30 x 60 x 4 = 7,200 inches³
Now , the total volume of stairs V = A + B + C
On simplifying , we get
The total volume of rectangular stairs V = 1,440 + 4,320 + 7,200 inches³
The total volume of rectangular stairs V = 12,960 inches³
Hence , the volume of rectangular stairs is 12,960 inches³
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We can solve the system of equations to check the number of system of the solutions.
y=-6x+2 ...(1)
-12x-2y=-4 ...(2)
Substitute -6x+2 for y in equation (2). So,
-12x-2(-6x+2)=-4
-12x+12x-4=-4 (By distribution property).
-4=-4 (-12x and +12x has been cancel out).
Notice x has vanish from the above equation and we are left with -4=-4 which is correct.
So, the system has infinte number of solutions.
Answer:
D: Infinite number of solutions
Step-by-step explanation:
I got it right on Edge
,1 tenth + 17 hundredths
,10 tenths + 4 hundredths
,11 hundredths + 8 tenths
,Options 177\100 91\100 140\100 77\100 27\100 104\100