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Home » Thus, the length of the other leg is: - Baxtercollege

Thus, the length of the other leg is: - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 La fonction de bénéfice est une parabole orientée vers le bas. Le sommet donne le bénéfice maximal.

📌 Abscisse du sommet : \(x = -\frac{b}{2a} = -\frac{40}{2(-2)} = 10\)

📌 Bénéfice maximal :

📌 \(P(10) = -2(10)^2 + 40(10) - 50 = -200 + 400 - 50 = 150\)

📌 Un triangle a des côtés de longueurs 7, 24 et 25. Est-ce un triangle rectangle ? Justifiez.

📌 Vérifier en utilisant le théorème de Pythagore :

📌 Puisque \(7^2 + 24^2 = 25^2\), c'est un triangle rectangle.

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

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