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Home » f(x) = -\frac14x^3 + \frac114x^2 + 1 - Silent Sales Machine

f(x) = -\frac14x^3 + \frac114x^2 + 1 - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The area \( A \) can also be expressed as:

📌 A = r \cdot s = r \left(\frac{a + b + z}{2}\right)

📌 \frac{\pi r^2}{A} = \frac{\pi r^2}{r \cdot s} = \frac{\pi r}{s}

📌 Since \( s = \frac{a + b + z}{2} \) and \( a + b = z + 2r \), we have:

📌 s = \frac{z + 2r + z}{2} = z + r

📌 \frac{\pi r}{z + r}

📌 \boxed{\frac{\pi r}{z + r}}

📌 An equilateral triangle has an area of \( 36\sqrt{3} \) square centimeters. If each side of the triangle is decreased by 2 cm, by how many square centimeters does the area decrease?

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