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Home » \( 2x^2 + 2x - 84 = 0 \) - jntua results

\( 2x^2 + 2x - 84 = 0 \) - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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)

📌 En la altura máxima, la velocidad final v es 0. Usando v² = u² - 2gh, obtenemos 0 = 20² - 2*9.8*h.

📌 Reorganizando, h = 20² / (2*9.8) = 400 / 19.6 = 20.41.

📌 Un ciclista parte desde un punto y viaja hacia el este a una velocidad constante de 15 m/s. A mediados de viaje, se detiene y luego regresa hacia el oeste a 10 m/s. Si el viaje total tomó 30 minutos, ¿cuánto tiempo estuvo viajando hacia el este?

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