ANSWER:
square root of ( 100x^2 + 60x + 9 )
An expression to represent the length of each side of the rug is:
square root of ( 100x^2 + 60x + 9 )
STEP-BY-STEP EXPLANATION:
Let's establish that the area of a square is the length of one of its sides squared.
Area of square = Side^2
THEREFORE:
To find the length of each side of the square, we will make side the subject in the formula as displayed below.
Area of square = Side^2
Side^2 = Area of square
Side = square root of ( area of square )
From this, we will substitute the given expression for the area of the square rug to obtain the expression for the length of each side of the rug.
Side = square root of ( 100x^2 + 60x + 9 )
1 Simplify exponent
ma2cr+acar+car+ar+r=vacar
2 Simplify exponent
ma2cr+a2cr+car+ar+r=vacar
3 Factor out the common term r
r(ma2c+a2c+ca+a+1)=vacar
4 Cancel r on both sides
ma2c+a2c+ca+a+1=vaca
5 Subtract a2c from both sides
ma2c+ca+a+1=vaca−a2c
6 Factor out the common term ca
ma2c+ca+a+1=ca(va−a)
7 Subtract ca from both sides
ma2c+a+1=ca(va−a)−ca
8 Factor out the common term ca
ma2c+a+1=ca(va−a−(1))
9 Subtract a from both sides
ma2c+1=ca(va−a−1)−a
10 Factor out the common term a
ma2c+1=a(c(va−a−1)−1)
11 Subtract 1 from both sides
ma2c=a(c(va−a−1)−1)−1
12 Divide both sides by a2
mc=a(c(va−a−1)−1)−1a2
13 Divide both sides by c
m=a(c(va−a−1)−1)−1a2c
Answer:
To find the volume of this cube, you would have to multiply 1.08 by 5.25 by 3.3 feet. If you did this, you would get: 18.711 feet^3. This is the volume of the rectangular prism.
Hope this helped!
V = L x W x H
V = (2/3 x 5/6) x 4/5
V = 5/9 x 4/5
V = 4/9
Therefore, your answer is v = 4/9 yards cubed
1. 437,003,000,000
2. 53,250,000
3. 797,619,000,323
4. 11,006,007
5. 84,000,037,800
