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Home » Eight Letters? Yes, This Tiny Word Beats Believers Every Time! - High Altitude Science

Eight Letters? Yes, This Tiny Word Beats Believers Every Time! - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 In an equilateral triangle, the inradius \( r = \frac{s\sqrt{3}}{6} \), where \( s = 12 \).

📌 So, \( r = \frac{12\sqrt{3}}{6} = 2\sqrt{3} \).

📌 Area of circle = \( \pi r^2 = \pi (2\sqrt{3})^2 = \pi \cdot 4 \cdot 3 = 12\pi \).

📌 #### \(12\pi\)

📌 The function \( f(x) = 2x^2 - 8x + 5 \) has a minimum value. What is this minimum value?

📌 This is a parabola opening upwards. Vertex at \( x = -\frac{b}{2a} = -\frac{-8}{2 \cdot 2} = 2 \).

📌 \( f(2) = 2(4) - 8(2) + 5 = 8 - 16 + 5 = -3 \).

📌 So, the minimum value is \( -3 \).

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