The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.
Then according to the problem:
2x + y = P ..(1)
P is the perimeter of the rectangle.
xy = 405000 (area of the rectangle)
Plug the value of y in the equation (1) from the above equation.
P(x) = 2x + 405000/x
P'(x) = x—405000/x² = 0
x = 450 m
P''(x) > 0 hence at x = 450 the value of P(x) is minimum.
y = 405000/450
y = 900 m
P(min) = 1800 m
Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
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Answer:
35, 43
Step-by-step explanation:
The pattern is that to obtain a term in the sequence , add 8 to the previous term, then
27 + 8 = 35
35 + 8 = 43
35 and 43 are the next 2 terms in the sequence
Answer:
it's the ice.
Step-by-step explanation:
.........
Answer:
Step-by-step explanation:
The exponential function is 
. 
is the initial value of the function, or the y-value when x=0. In this case, =5. If we enter that into the equation:
Then we can use another point to solve for 
.
Since anything raised to the power of 1 remains the same, we can continue to solve algebraically.
Now that we have both the and value, we can return to the exponential function and fill in the blanks.
I hope this helps!
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