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books for 4th graders - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 La somme \(S_n\) des \(n\) premiers termes d’une suite géométrique est \(S_n = a \frac{r^n - 1}{r - 1}\).

📌 Ici, \(a = 3\), \(r = 2\), \(n = 5\).

📌 S_5 = 3 \frac{2^5 - 1}{2 - 1} = 3 \times (32 - 1) = 3 \times 31 = 93

📌 Si \( \sin \theta = \frac{3}{5} \) et \( \theta \) est dans le premier quadrant, trouvez \( \cos \theta \).

📌 Utilisez l’identité \(\sin^2 \theta + \cos^2 \theta = 1\).

📌 \left(\frac{3}{5}\right)^2 + \cos^2 \theta = 1 \implies \frac{9}{25} + \cos^2 \theta = 1 \implies \cos^2 \theta = 1 - \frac{9}{25} = \frac{16}{25}

📌 Puisque \(\theta\) est dans le premier quadrant, \(\cos \theta > 0\), donc \(\cos \theta = \frac{4}{5}\).

📌 #### \(\frac{4}{5}\)Una pelota se lanza verticalmente hacia arriba desde el suelo con una velocidad inicial de 20 m/s. ¿Qué tan alto llegará? (Asume g = 9.8 m/s²)

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