Answer:
The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is
then
Step-by-step explanation:
• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.
• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.
• To find the printed area of billboard calculations are given below:
![& 9000=xy](https://tex.z-dn.net/?f=%26%209000%3Dxy)
![& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\](https://tex.z-dn.net/?f=%26%20y%3D%5Cfrac%7B9000%7D%7Bx%7D%20%5C%5C%20%20%26%20A%3D%28x-10%29%28y-6%29%20%5C%5C%20%20%26%20A%3Dxy-6x-10y%2B60%20%5C%5C%20%20%26%20A%3Dx%5Cleft%28%20%5Cfrac%7B9000%7D%7Bx%7D%20%5Cright%29-6x-10%5Cleft%28%20%5Cfrac%7B9000%7D%7Bx%7D%20%5Cright%29%2B60%20%5C%5C%20%20%26%20A%3D9060-6x-%5Cfrac%7B9000%7D%7Bx%7D%20%5C%5C)
On taking the first order derivative of A
![\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]](https://tex.z-dn.net/?f=%5C%5BA%27%3D-6%2B%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29%5C%5D)
![& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\](https://tex.z-dn.net/?f=%26%20%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29-6%3D0%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%206%7B%7Bx%7D%5E%7B2%7D%7D%3D90000%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%20x%3D%5Csqrt%7B15000%7D%20%5C%5C%20%20%20%20%20%20%20%20%20%20%26%20y%3D%5Cfrac%7B9000%7D%7Bx%7D%3D%5Cfrac%7B90000%7D%7B%5Csqrt%7B15000%7D%7D%3D10%5Csqrt%7B150%7D%20%5C%5C)
• Hence
and ![\[y=\frac{900}{\sqrt{150}}\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B900%7D%7B%5Csqrt%7B150%7D%7D%5C%5D)
Learn More about Differentiation Here:
brainly.com/question/13012860
To solve this problem, we must figure out what percent of the total spending was spent on mommy and baby exercise programs. To figure this out, we should divide how much was spent on the mommy and baby exercise by the total amount spent on the district activities.
$1430/$5720 = 0.25
This is a percentage, or a portion out of 100, which means we must multiply this decimal by 100 to find its equivalent percentage.
0.25 * 100 = 25
Therefore, your answer is 25% of the total spending was spent on mommy and baby exercise programs.
Hope this helps!
Answer:
5
Step-by-step explanation:
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
Answer:
an equals sign
Step-by-step explanation:
Answer:
This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. It finds the midpoint of the given line segment.