Answer:
37.7359
Step-by-step explanation:
first you visualize the shape created
if you visualize it... it will look like a right angled triangle
and we are looking for the longest side
remember the pythagoras theorem c^2= a^2 + b^2
in this case we are looking for c
a^2= 20^2
b^2= 32^2
400+ 1024= 1424
therefore c^2= 1424
then you square root 1424
to get 37.7359
note- the answer is solely based on the information given
Answer:
Number of orange trees = 3528
Step-by-step explanation:
Given: Average annual orange yield = 124 pounds (lbs) per tree
Number of trees = 22 per acre
Each tree produces 124 pounds, so 22 trees will produce
124*22 = 2728 lbs per acre
For every additional tree over 22, 2 pounds per tree is lost.
So, if you add x trees, you lose 2x pounds.
Thus, we have the function:
f(x) = (124 - 2x)*(22 + x) for the added tree(s)
For quadratic equations like this, the maximum(or minimum) is obtained by substituting x= -b/2a into the given equation. a and b are obtained from the general form of a quadratic equation:
Comparing this with f(x), we have that
a = -2 (coefficient of x2)
b = 80 (coefficient of x)
Using these values in x = -b/2a, we get
So, use x = 20 in the maximum function we got earlier
Therefore, the number of oranges that should be planted in order to maximize the number of pounds of oranges per acre = 3528