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Home » First, compute \(mn\) using the identity: - Treasure Valley Movers

First, compute \(mn\) using the identity: - Treasure Valley Movers

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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📌 Now, compute the sector area: \(rac{120}{360} imes 100\pi = rac{1}{3} imes 100\pi = rac{100\pi}{3} pprox 104.72 ext{ cm}^2\).

📌 #### 104.72

📌 A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Verify if it is a right triangle, and if so, find its area.

📌 Check using the Pythagorean theorem: \(a^2 + b^2 = c^2\). So, \(7^2 + 24^2 = 49 + 576 = 625 = 25^2\).

📌 It is a right triangle. Use the standard area formula: \(rac{1}{2} imes 7 imes 24 = 84 ext{ cm}^2\).

📌 Solve for \(x\) in the equation \(2x^2 - 8x + 6 = 0\) using the quadratic formula.

📌 The quadratic formula is \(x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).

📌 Compute the discriminant: \((-8)^2 - 4 imes 2 imes 6 = 64 - 48 = 16\).

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