Answer:
The sidewalk is 2 feet wide
Step-by-step explanation:
The area of the sidewalk is given as 80 square feet
The length and width of pool
including side walks will be;
10 + 2x and 6 + 2x
To get the area of the side walk
That will be area of total minus area of the pool
That will be ;
(10 + 2x)(6 + 2x) - 10(6) = 80
60 + 12x + 20x + 4x^2 - 60 = 80
4x^2 + 32x -80 = 0
x^2 + 8x -20
x^2 + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x-2)(x + 10) = 0
x = 2 or -10
since width cannot be negative;
The sidewalk is 2 feet wide
Step-by-step explanation:
17) 3x+5-12+4x+2x
3x+4x+2x +5-12
8x-7
if x =6
8*6-7 =48-7
= 41
18.) 9(3x-4y+8)
27x-36y+72
Answer: 4 m
Step-by-step explanation:
Let the amount each dimension was increased by be x.
Now we can set up a equation.
(2+x)(4+x) = 48
8 + 2x + 4x + x^2 = 48
x^2 + 6x - 40 = 0.
We can factor the left side of the equation.
(x+10)(x-4) = 0.
Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.
If you have never used a unit circle, I recommend making one.
R for the following degrees are
30*= 4((3^1/2)/2)^2
60*= 8(2^1/2)(2^1/2)^2
90*= (8((3^1/2)/2))/4
The scale factor that takes triangle XYZ to X’Y’Z’ is 2.
