Given that <span>the area of the playground is 910 square feet, let the length of the playground be x, then the width of the playground is given by
![\frac{910}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B910%7D%7Bx%7D%20)
</span>Given that <span>the fence along three of the sides costs $5 per foot and </span>the fence along the fourth side, which will be made of brick, costs $15 per foot. <span>Let the side with the brick fence be the side which measures x feet.
</span>
Then the cost for fencing the entire playground is given by
![C=5\left( \frac{910}{x} \right)+5x+5\left( \frac{910}{x} \right)+15x= \frac{9100}{x} +20x](https://tex.z-dn.net/?f=C%3D5%5Cleft%28%20%5Cfrac%7B910%7D%7Bx%7D%20%5Cright%29%2B5x%2B5%5Cleft%28%20%5Cfrac%7B910%7D%7Bx%7D%20%5Cright%29%2B15x%3D%20%5Cfrac%7B9100%7D%7Bx%7D%20%2B20x)
For, minimum cost,
![\frac{dC}{dx} =0 \\ \\ \Rightarrow- \frac{9100}{x^2} +20=0 \\ \\ \Rightarrow20x^2-9100=0 \\ \\ \Rightarrow x^2-455=0 \\ \\ \Rightarrow x=\pm\sqrt{455}](https://tex.z-dn.net/?f=%20%5Cfrac%7BdC%7D%7Bdx%7D%20%3D0%20%5C%5C%20%20%5C%5C%20%5CRightarrow-%20%5Cfrac%7B9100%7D%7Bx%5E2%7D%20%2B20%3D0%20%5C%5C%20%20%5C%5C%20%5CRightarrow20x%5E2-9100%3D0%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20x%5E2-455%3D0%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20x%3D%5Cpm%5Csqrt%7B455%7D)
But x can't be negative.
Therefore, <span>the length of the brick fence that will minimize the cost of enclosing the playground is 21.33 feet.</span>
Answer:
I think that the answer may be volume = 169.65
Step-by-step explanation:
Answer:
Part A is 210 I beleive because .27 * 705 is 190.08
Part B is $140 because .18 * 705 is 126.72
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Given the question, it needs the points so that the equation can be evaluated and to know if the points is a solution to the equation or not.