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umka2103 [35]
3 years ago
6

an air conditioning system can circulate 360, cubic feet of air per minute. how many cubic yards of air can it circulate per min

ute?
Mathematics
2 answers:
I am Lyosha [343]3 years ago
8 0
There are 3 feet in a yard so 360/3=120 so 120 yards per minute
ahrayia [7]3 years ago
3 0

Alright, lets get started.

3 feet = 1 yard

If we cube both sides of the equation, we will get the conversion into cubic yards

So,

3*3*3 cubic feet = 1 * 1*1 cubic yards

27 cubic feet = 1 cubic yards

So, 1 cubic feet = \frac{1}{27} cubic yards

So, 360 cubic feet = 360 *\frac{1}{27} cubic yards

So, 360 cubic feet = 13.33 cubic yards

13.33 cubic yards of air can it circulate per minute. : Answer

Hope it will help :)



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8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
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8. c. (-1, -1)

9. a. (-6, -1)

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Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

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2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

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9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

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-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

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Coordinates of endpoint B is (-6, -1)

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