Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer:
46
Step-by-step explanation:
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
The area that's covered by the grass will be 7.065m²
The area of a circle is found by using the formula: = πr²
where, r = radius = 1.5m
π = 3.14
Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:
Area = πr².
Area = 3.14 × 1.5²
Area = 3.14 × 1.5 × 1.5
Area = 7.065m²
In conclusion, the area is 7.065m²
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