A line has ___ rotational symmetry
2 answers:
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Answer:
18,646
Step-by-step explanation:
>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646
>you can use the first derivative to find the minimum
c'(x) = (0.2x²-100x+31,146)' = .4x -100
.4x-100= 0 , so x= 250
c(x=250) = 0.2(250)² -100*250 +31,146 =18,646
Answer:
Step-by-step explanation:
The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.
<u>Formulas</u>:
- Area of rectangle with base
and height
:
- Area of triangle with base
By definition, the base and height must intersect at a 90 degree angle.
The rectangle has a base of 10 and a height of 5. Therefore, its area is .
The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is .
Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is .
Thus, the area of the total irregular figure is: