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Aleonysh [2.5K]
2 years ago
6

Given that set C is the negative Integers greater than -10, which elements of set C are less than or equal to -5? (Enter your an

swers as a comma-
separated list.)
Mathematics
1 answer:
ki77a [65]2 years ago
5 0

Answer:

{-9,-8,-7,-6,-5}

Step-by-step explanation:

Set C is negative Integers greater than -10

{-9, -8, -7, -6, -5, -4, -3, -2, -1}

Elements less than or equal to -5

{-9, -8, -7, -6, -5}

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 answer

 the area of the city is 41 units^2

Step-by-step explanation:

41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.

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