All the terms are like terms. When combined, their sum is zero (0).
B) 67 degrees
The correct answer is 67 and side a is 14.8
Lets turn E into x and F into y.
We already know that x is 0.8. And if y/x = 0.6, we have to figure that out.
y/x = 0.6
y/0.8 = 0.6
Multiply by 8 to get y = 0.48.
So we have to find P(xy)
So if we know that x = 0.8 and y = 0.48 then all we have to do is multiply 0.48 and 0.8.
0.48 * 0.8 = 0.384
P(E and F) is 0.384.
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From calculus, to determine the maxima or minima of the graph, get the derivative of the equation and equate to zero. So, we derive first the equation of the graph and equate to zero.
C = 0.25x² - 80x + 30000
dC/dx = 0 = 0.5x - 80 + 0
0.5x = 80
x = 80/0.5
x = 160 units
The minimum cost (although not asked) is:
C = 0.25(160)² - 80(160) + 30000
C = $23,600
The answer is 160 units.
