Formula:
a^2+b^2=c^2
c^2: Is the hypotenuse.
For a^2 and b^2, you have to multiply both it by its self.
Then, add both.
Next, you square root it.
Example:
a^2+b^2=c^2
14^2+7^2=c^2
196+49=c^2
245=c^2
15.64=c^2
Producing 73.8 units gives the lowest possible average cost.
The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:
AC = C(x) / x
AC = (0.2x³ – 24x² + 1514x +30064) / x
AC = 0.2x² - 24x + 1514 + 30064/x
The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:
AC' = 0.4x - 24 - 30064/x²
0.4x - 24 - 30064/x² = 0
0.4x³ - 24x² - 30064 = 0
Solving the cubic polynomial gives:
x = 73.8 units
Therefore the lowest possible average cost is when 73.8 units are produced.
Find out more at: brainly.com/question/20346871
Answer:
see below
Step-by-step explanation:
x^-2 = 1/x^2 Let x = -2 1/ (-2)^2 = 1/4
x^-1 = 1/x^1 Let x = -2 1/ (-2)^1 = 1/(-2) = -1/2
x^0 = 1
x^1 = x Let x = -2 (-2)
x^2 = Let x = -2 (-2)^2 = 4
Answer: D
Step-by-step explanation:
A and B are both wrong since there is no constant rate of change. C is wrong because there is no second-degree change in the Y-values. Therefore, D is your answer.
The first thing is to calculate the area of the triangle ABC using the Hero's formula.
Area = √(s(s-a)(s-b)(s-c))
Where s is half the perimeter and a, b, and c are the lengths of the triangle.
s = 0.5(3×75) = 112.5
Since our triangle is equilateral, a=b=c
Area = √(112.5(112.5-75)³)
= √5,932,617.188
= 2,435.696448 square units.
The same area can be found using the formula, 0.5(bh). Where b is the base length and h is the altitude from the base length.
In this triangle, b=75.
∴ 2,435.696448 = 0.5(75×h)
h = 4,871.392896÷75
=64.95190528 units
Since E is the midpoint of AD, then DE=h÷2=32.47595264 units
Now we have a right triangle BDE, where BE is the hypotenuse and BD=75/2.
∴ BE = √((BD)²+(DE)²)
=√(37.5²+ 32.47595264²)
= √2,460.935815
= 49.6078 units.
