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Home » \( 100\% - 12\% = 88\% \). - AMAZONAWS

\( 100\% - 12\% = 88\% \). - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \[ V = 3.14 \times (3)^2 \times 10 \]

📌 \[ V = 3.14 \times 9 \times 10 \]

📌 \[ V = 3.14 \times 90 \]

📌 \[ V = 282.6 \]

📌 The volume of water in the tank is 282.6 cubic meters.

📌 A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 30 degrees above the horizontal. Calculate the maximum height reached by the projectile. Use \( g = 9.8 \, \text{m/s}^2 \).

📌 The formula for the maximum height \( H \) reached by a projectile is:

📌 \[ H = \frac{(v_0^2 \sin^2 \theta)}{2g} \]

🔥 Popular Posts

\lim_{n \to \infty} a_n = \lim_{n \to \infty} \sum_{k=1}^{n} \left( \f...
This is a Riemann sum. Split the sum:
a_n = \sum_{k=1}^{n} \frac{k}{n} - \frac{1}{3} \sum_{k=1}^{n} \left( \...
= \frac{1}{n} \sum_{k=1}^{n} k - \frac{1}{3n^3} \sum_{k=1}^{n} k^3
Use formulas:
$ \sum_{k=1}^{n} k = \frac{n(n+1)}{2} $
$ \sum_{k=1}^{n} k^3 = \left( \frac{n(n+1)}{2} \right)^2 $
a_n = \frac{1}{n} \cdot \frac{n(n+1)}{2} - \frac{1}{3n^3} \cdot \left(...
= \frac{n+1}{2} - \frac{1}{3n^3} \cdot \frac{n^2(n+1)^2}{4}
Simplify the second term:

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