The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2
Step-by-step explanation:
We need to find quotient of x^2+3x+2 divided by x+1
The division is shown in figure attached.
Quotient: x+2
Remainder: 0
The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2
Answer:
9/16
Step-by-step explanation:
First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:
volume ratio = dimension ratio ^3
surface area ratio = dimension ratio ^2
The volume ratio between small prism and the large prism is 27 / 64.
To find the dimensions ratio, we need to take the cubic root of the volume scale:
dimension ratio = 3√(27/64) = 3/4
Now, to find the surface area ratio, we just need to make the square of the dimension ratio:
surface area ratio = (3/4)^2 = 9/16
Volume of a cube = (edge)^3
In this problem,
Volume = 216in^2
Edge = ?
Let's plug our values into the formula above.
216in^3 = (edge)^3
Take the cbrt of both sides.
6in = edge
The length of each edge = 6in
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