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Home » Rearrange: \( 2n^2 + 4n - 220 = 0 \). - High Altitude Science

Rearrange: \( 2n^2 + 4n - 220 = 0 \). - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A 45-degree angle is formed by a line and the positive x-axis. If the line intersects a circle of radius 10 cm, what is the length of the arc subtended by this angle?

📌 The arc length \( L \) is given by \( L = r\theta \), where \( \theta \) is in radians.

📌 Convert 45 degrees to radians:

📌 \[ \theta = \frac{45 \times \pi}{180} = \frac{\pi}{4} \]

📌 Then, calculate the arc length:

📌 \[ L = 10 \times \frac{\pi}{4} = \frac{10\pi}{4} = \frac{5\pi}{2} \approx 7.85 \text{ cm} \]

📌 A function is defined by \( f(x) = x^3 - 6x^2 + 11x - 6 \). Find the x-values where the function crosses the x-axis.

📌 To find the roots, solve \( x^3 - 6x^2 + 11x - 6 = 0 \).

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