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Home » So maximum profit occurs when \( x = 5 \), i.e., 500 units. - AMAZONAWS

So maximum profit occurs when \( x = 5 \), i.e., 500 units. - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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After tripling the radius, new radius is \(3r\), so new volume \(V_2\)...
V_2 = \frac{4}{3} \pi (3r)^3 = \frac{4}{3} \pi \cdot 27r^3 = 27 \cdot...
Thus, the volume increases by a factor of \(\boxed{27}\).
Question:** In a right triangle, one leg is 6 cm and the hypotenuse is...
Let the triangle have legs \(a = 6\) cm, hypotenuse \(c = 10\) cm. Use...
b = \sqrt{c^2 - a^2} = \sqrt{100 - 36} = \sqrt{64} = 8 \text{ cm}
Area of the triangle:
A = \frac{1}{2} \cdot 6 \cdot 8 = 24 \text{ cm}^2
The altitudes corresponding to each side are found using \(A = \frac{1...
Altitude to leg \(a = 6\):

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