Answer:
Rational
Step-by-step explanation:
If you multiply all the square inches, you would get 15,015
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:
The cost function is:
And the average cost function is:
We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:
Multiplying by x:
Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:
Swapping sides and changing the sign:
Dividing by 41:
The least number of items to produce is 41
Answer:
-1/63y^11
Step-by-step explanation:
because we multiply it
Problem 4
a)
MR = AG is a true statement because MARG is an isosceles trapezoid. The diagonals of any isosceles trapezoid are always the same length.
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b)
MA = GR is false. Parallel sides in a trapezoid are never congruent (otherwise you'll have a parallelogram).
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c)
MR and AG do NOT bisect each other. The diagonals bisect each other only if you had a parallelogram.
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Problem 5
a)
LC = AJ (nonparallel sides of isosceles trapezoid are always the same length)
x^2 = 25
x = sqrt(25)
<h3>x = 5</h3>
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b)
LU = 25
UC = 25 because point U cuts LC in half
LC = LU+UC = 25+25 = 50
AJ = LC = 50 (nonparallel sides of isosceles trapezoid are always the same length)
AS = (1/2)*AJ
AS = (1/2)*50
<h3>AS = 25</h3>
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c)
angle LCA = 71
angle CAJ = 71 (base angles of isosceles trapezoid are always congruent)
(angleAJL)+(angleCAJ) = 180
(angleAJL)+(71) = 180
angle AJL = 180-71
<h3>angle AJL = 109 </h3>
