We know that the interior angle sum of a polygon is (n − 2) × 180°, where <em>n</em> is the number of sides.
Here, number of sides (n) = 12
So, interior angle sum = (n − 2) × 180°
=> interior angle sum = (12 - 2) × 180°
=> interior angle sum = 10 × 180°
=> interior angle sum = 1800°
So, the interior angle sum of this polygon is 1800°.
The answers are... For the first one Question 1. the answer would be
2x³+2x²-2x
Question 2 the answer is: x²-3x-2
Question 3 the answer is: 2x+2
Question 4 the answer is: x+7
Question 5 the answer is: <span><span><span>−15</span><span>x</span></span></span>²<span>+<span>66x</span></span><span>−<span>63
Hopes this helps! :)</span></span>
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.
H=hours
9h= 315
H= 315/9
H= 35
Oliver must work 35 hours to earn $315.
Hopefully, this helps!
