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Home » \[ 9.8t = 49 \] - NBX Soluciones

\[ 9.8t = 49 \] - NBX Soluciones

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Solving for \(x\):

📌 2x = -10 \quad \Rightarrow \quad x = -5

📌 \boxed{-5}

📌 Question:** A biodiversity specialist is studying the periodic behavior of genetic expression modeled by the equation \(2\cos(2z) = \sqrt{3}\). Find the sum of all angles \(z \in [0^\circ, 360^\circ]\) that satisfy this equation.

📌 First, solve for \(\cos(2z)\):

📌 2\cos(2z) = \sqrt{3} \quad \Rightarrow \quad \cos(2z) = \frac{\sqrt{3}}{2}

📌 The general solutions for \(\cos(2z) = \frac{\sqrt{3}}{2}\) are:

📌 2z = 30^\circ + 360^\circ n \quad \text{or} \quad 2z = 330^\circ + 360^\circ n

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