Answer:
(x+16)^2=20^2+x^2
Step-by-step explanation:
Given there was no bending of the tree, the Pitagorean Theory would help finding the value of the trees hight.
x^2+32x+16^2=400+x^2
32x=(20-16)×(20+16)
x=144/32
x=4m and 50cm
Answer:
Yes this is a linear function f(x) = ex+30
e = hourly rate
x=hours
f(x) = total earnings
Answer:
13 1/3 and 6 2/3.
Step-by-step explanation:
Let the 2 parts be x and (20 - x).
So x^2(20 - x) must be a maximum.
y = x^2(20 - x)
y = 20x^2 - x^3
Finding the derivative):
y' = 40x - 3x^2 = 0 for maxm/minm value.
x( 40 - 3x) = 0
40 - 3x = 0
3x = 40
x = 40/3.
This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.
So the 2 numbers are 13 1/3 and 6 2/3.
By adding 6, the next number should be 158