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Home » 30٪ من هذه القيمة هي \(0.3 \times 230 = 69\) دولار. - Appfinity Technologies

30٪ من هذه القيمة هي \(0.3 \times 230 = 69\) دولار. - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A_{\text{original}} = \frac{\sqrt{3}}{4} \times 10^2 = \frac{\sqrt{3}}{4} \times 100 = 25\sqrt{3} \text{ cm}^2

📌 The new side length is \(10 - 2 = 8\) cm. The new area is:

📌 A_{\text{new}} = \frac{\sqrt{3}}{4} \times 8^2 = \frac{\sqrt{3}}{4} \times 64 = 16\sqrt{3} \text{ cm}^2

📌 The decrease in area is:

📌 \Delta A = A_{\text{original}} - A_{\text{new}} = 25\sqrt{3} - 16\sqrt{3} = 9\sqrt{3} \text{ cm}^2

📌 Thus, the area decreases by \(\boxed{9\sqrt{3}}\).

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a^2 + b^2 = 25
Possible values for \(a^2\) are \(0, 1, 4, 9, 16, 25\). We check each:
\(a^2 = 0\), \(b^2 = 25\) gives \((a, b) = (0, \pm 5)\)
\(a^2 = 1\), \(b^2 = 24\) is not possible
\(a^2 = 4\), \(b^2 = 21\) is not possible
\(a^2 = 9\), \(b^2 = 16\) gives \((a, b) = (\pm 3, \pm 4)\)
\(a^2 = 16\), \(b^2 = 9\) gives \((a, b) = (\pm 4, \pm 3)\)
\(a^2 = 25\), \(b^2 = 0\) gives \((a, b) = (\pm 5, 0)\)
Counting all combinations for \((a, b)\):
\((0, \pm 5)\) gives 2 points: \((3, 9), (3, -1)\)

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