Answer:
x= 77
Step-by-step explanation:
The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.
180-122= 58 degrees
Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.
Let's use this info to find the degree at the top.
58+58= 116
There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.
180-116= 64 degrees
And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.
90-64= 26 degrees
And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.
180-26= 154 degrees.
And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.
154/2= 77 degrees.
Your answer is 77 degrees.
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
1 - 51
2 - 129
3 - 51
5 - 90
