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Home » The rationalized form is $ \boxed{\dfrac{7 + \sqrt21}4} $. - Midis

The rationalized form is $ \boxed{\dfrac{7 + \sqrt21}4} $. - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Vereinfache: \( 20 = \frac{100}{\pi a} \).

📌 Löse nach \( a \): \( a = \frac{100}{20 \pi} = \frac{5}{\pi} \approx 1.5915 \) mm.

📌 #### 1.5915

📌 ### Frage 9

📌 Ein Materialwissenschaftler untersucht die Wärmeleitfähigkeit \( k \) eines Verbundwerkstoffs mit der Regelung \( k = \frac{k_1 k_2 d_1 + k_2 d_2^2}{d_1 + d_2} \), wobei \( k_1 = 200 \) W/m·K, \( k_2 = 50 \) W/m·K, \( d_1 = 2 \) m und \( d_2 = 1 \) m. Wie groß ist \( k \)?

📌 Berechne \( k_1 d_1 = 200 \times 2 = 400 \).

📌 Berechne \( k_2 d_2^2 = 50 \times 1^2 = 50 \).

📌 Zähler: \( 400 + 50 = 450 \).

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