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Home » The rate of the first pipe is \(\frac16\) of the tank per hour. - High Altitude Science

The rate of the first pipe is \(\frac16\) of the tank per hour. - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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\frac{z_A + z_B + z_C}{3} = 12
Let $ z_A = a, z_B = b, z_C = c $. Then:
\frac{a + b + c}{3} = 12 \Rightarrow a + b + c = 36
Now, the elevation at the centroid is a weighted average of the height...
\frac{a + b + c}{3} = 12
Thus, the $ z $-coordinate of the centroid is consistent with the aver...
\boxed{\frac{11}{3}}
Question: An anthropologist is modeling cultural diffusion between thr...
Solution: First, compute the center of mass (centroid) of triangle $ A...
G = \left( \frac{0 + 6 + 3}{3}, \frac{0 + 0 + 6}{3} \right) = (3, 2)

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