Answer:
rectangle with maximum area has dimensions of 745 yd x 1490 yd
Step-by-step explanation:
the rectangular area is
Area = x*y , where x= side along the river , y = side perpendicular to the river
since we have only 2980 yd of fencing, the total fencing ( perimeter) will be
x+2*y = 2980 yd =a
then solving for x
x= a - 2*y
replacing in the area expression
A=Area = x*y = (a- 2*y) *y = a*y - 2*y²
the maximum area is found when the derivative with respect to y is 0 , then
dA/dy= a - 4*y = 0 → y=a/4 = 2980 yd /4 = 745 yd
then
x= a - 2*y = a - 2* a/4 = a/2 = 2980 yd /2 = 1490 yd
then the rectangle with maximum area has dimensions of 745 yd x 1490 yd
Answer:
Percentage= 72%
Step-by-step explanation:
Giving the following information:
Total population= 2,400
People supporting the local team= 1,728
<u>To calculate the percentage of people supporting the local team, we need to use the following formula:</u>
Percentage= (people supporting / total population)*100
Percentage= (1,728/2,400)*100
Percentage= 72%
Answer:
(x, y) = (3, 26)
Step-by-step explanation:
I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.
(x, y) = (3, 26)
__
As an alternative, here, the equations can be subtracted.
y = f(x)
y = g(x)
0 = f(x) - g(x) . . . . subtract the second equation from the first
0 = 11x -7 -(3x +17)
0 = 8x -24 . . . . simplify
0 = x -3 . . . . . . .divide by 8
3 = x
Now, we can substitute into either equation:
y = g(x) = 3(3) +17 = 26
The solution is (x, y) = (3, 26).
Answer:
Step-by-step explanation:
Given
12.7, 22, 23.5, 24, 11, 22
Required
Determine the M.A.D
Start by calculating the Mean
In this case, n = 6
So:
Subtract the mean from each element
Take absolute value of the results above
The mean of the above gives the MAD