Answer:
72 in
Step-by-step explanation:
Just multiply all the variable together!!!!
Refer to the figure shown below.
x = the width of the rectangle (meters)
y = the height of the rectangle (meters(
The fencing for the perimeter of the rectangle costs $30 per meter.
The two inner partitions cost $25 per meter.
The total cost of the fencing is
C = 2(x+y)*$30 + 2y*$25
= 60(x+y) + 50y
= 60x + 110y
Because the amount available to spend is $600, therefore
60x + 110y = 6000
or
6x + 11y = 600
That is,
y = (600 - 6x)/11 (1)
The area is
A = x*y (2)
Substitute (1) into (2).
A = (x/11)*(600 - 6x) = (1/11)*(600x - 6x²)
To maximize A, the derivative of A with respect to x is zero.
That is,
600 - 12x = 0
x = 600/12 = 50
From (1), obtain
y = (1/11)*(600 - 6*50) = 300/11 = 27.273
Because the second derivative of A with respect to x is negative, x=50, y = 27.273 will yield the maximum area.
The maximum area is
50*27.273 = 1363.64 m² = 1364 m² (nearest integer)
Answer: 1364 m² (nearest integer)
Answer:
b because c 13 is too far away for one coordinate were it is not too long and to short
Step-by-step explanation:
Answer:
Part 1) The engine speed that maximizes torque is 
Part 2)The maximum torque is 
Step-by-step explanation:
<u><em>The correct equation is</em></u>

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The x-coordinate of the vertex represent the engine speed that maximizes torque
The y-coordinate of the vertex represent the maximum torque
Solve the quadratic equation by graphing
using a graphing tool
The vertex is the point (3.093,74.683)
see the attached figure
therefore
The engine speed that maximizes torque is
---> because is in thousands of revolutions per minute
The maximum torque is

If B is a complement of A this means that the sum of the measures of A and B is 90 degrees.
mA + mB = 90
mB =90 - mA
mB = 90 - 40 = 50
Thus, the measure of angle B is 50 degrees.
If C is a supplement of B then, the sum of the measures of B and C is 180 degrees.
mC + mB = 180
mC = 180 - mB
mC = 180 - 50 = 130
Therefore, the measure of angle C is 130 degrees.