Hey there! I'm happy to help!
Let's create a basic rectangle with this length to width ratio.
Two sides are 3 and two of them have a length of 2. This would give us a perimeter (distance around) of 10.
We want to find a rectangle with a perimeter of 35 meters with this same ratio. What we can do is multiply all of the dimensions of our first rectangle by 3.5 (to get our perimeter of 10 to 35, we multiply by 3.5).
3×3.5=10.5
2×3.5=7
If we simplify 10.5:7, we have 3:2, and the perimeter of a rectangle with a length of 10.5 and a width of 7 would equal 35 meters.
Have a wonderful day! :D
![(3x - 5) + ( {x}^{2} + 1) \\ 3x - 5 + {x}^{2} + 1 \\ {x}^{2} + 3x - 4](https://tex.z-dn.net/?f=%283x%20-%205%29%20%2B%20%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%201%29%20%5C%5C%203x%20-%205%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%204)
Therefore the answer is x²+3x-4
Write down a common denominator for 7/8 and 9/10. Then compare the fractions when they have the common denominator.
Answer:
b c e g are all correct
Step-by-step explanation:
b. √(50x²) = √(50) * √x² = √(25) * √x² * √(2) = 5*x*√2
c. √(32x) = √(16 *2x) = √16 *√(2x) =4*√(2x)
d. √(18n) = √(9*2n) = √9*√(2n) = 3*√(2n)
g. √(72x²) = √(36 * 2 * x²) = √36 *√x² * √2 = 6x*√2
To find the missing dimension you will use the formula for finding the volume of a prism and solve for the missing dimension. In this case 2ft is how deep the pool is and you will solve for the width of the pool.
V = Bh, where B is the area of the base. In this case, use the area of a trapezoid formula.
286 = 1/2h(8 +13)2
<u>286</u> = <u>21h</u>
21 21
h = 13.6
The width of the wading pool is approximately 13.6 feet.