Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:

So, we have:

Divide both sides by 2

Make L the subject

The area is calculated as:

Substitute 

Open bracket

Differentiate with respect to W

Set to 0; to get the maximum value of W

Collect like terms

Divide by -2

So, the maximum area is:




8×6= 48
4×6=24, 24+24=48
or
(4×6)+(4×6)=2×4×6=8×6
Answer:
5
Step-by-step explanation:
given that x and y are proportional, they can be expressed as y = rx, where r is the proportionality constant. Thus, we can solve for r by doing y/x in any given point.

Answer:
12π ft², B
Step-by-step explanation:
Area of circle: radius²π
The area of the entire circle would thus be 6²π, or 36π
Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.
1/3 * total area of the circle = area of the shaded region
1/3 * 36π = 12π
Thus, the answer is 12π ft², or B.
Answer:
Mutal fund because its a formerly greatest instruments