Answer:
- <em> 15</em>
- <em> 42,250</em>
Step-by-step explanation:
The given function is,

where,
P = the total production of apples,
x = the number of trees added.
As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.
The vertex will be at 
The value of the function will be maximum at,

Putting the values,

So at x=15 or for 15 number of trees the production will be ,maximum.
Putting x=15 in f(x) will yield the maximum production of apples.

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length <em>x</em>.
Now, by the intersecting chord theorem,
16×4 = <em>x</em> × <em>x</em>
or
<em>x</em> ² = 64
so that
<em>x</em> = 8
Answer:
/2=1.41
/5=2.24
(a)^2+(b)^2=(c)^2
(1.41)^2+(b)^2=(2.24)^2
2+(b)^2=5
(b)^2=5-2
(b)^2=3
b=/3 or 1.73
Step-by-step explanation:
for a triangle, a missing value of the side can be found using pythagorean theorem which is (a)^2+(b)^2=(c)^2
replace it with the given value.
*note:(c)^2 should be the hypotenuse
inverse of +ve is -ve
inverse of square is square root