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3 years ago

Answer for 13 with explanation and steps shows (btw the container is filled 2/12th's)

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

If the container is divided into 12ths you should make that your common denominator.

So 1/4 now equals 3/12

Since we want this 3/12 to be empty we must subtract it from 12/12 leaving us with 9/12.

When we subtract 2/12 from 9/12 to get the amount that was already filled we get 7/12 which is the amount that needs to be filled.

To check we add our parts 2/12 and 7/12 to get 9/12 which is 3/4 of the container filled leaving 3/12 or 1/4 of the container empty.

Hope this helps ☺

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Triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?

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Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are ( $\frac{x1+x2+x3}{3}$ , $\frac{y1+y2+y3}{3}$ )

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In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

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∴ The centroid = ( $\frac{-15+0+15}{3}$ , $\frac{0+15+0}{3}$ ) = ( $\frac{0}{3}$ , $\frac{15}{3}$ ) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

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∴ The coordinates of the centroid of Δ FBG are (0, 5)

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→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

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3 years ago

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4 years ago

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