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Home » Substitute \( l \) into the perimeter equation: - Sterling Industries

Substitute \( l \) into the perimeter equation: - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Ein Ball wird senkrecht nach oben mit einer Anfangsgeschwindigkeit von 20 m/s geworfen. Wie hoch steigt der Ball, bevor er wieder herunterfällt? (Verwenden Sie \( g = 9,8 \, \text{m/s}^2 \) für die Schwerkraft)

📌 Die Formel für die maximale Höhe lautet \( h = \frac{v_0^2}{2g} \).

📌 Einsetzen der Werte: \( h = \frac{20^2}{2 \times 9,8} = \frac{400}{19,6} = 20,4 \) Meter.

📌 #### 20,4 Meter

📌 Ein rechtwinkliges Dreieck hat eine Kathete, die 8 Einheiten und eine Hypotenuse, die 10 Einheiten misst. Wie lang ist die andere Kathete?

📌 Verwendung des Satzes des Pythagoras: \( a^2 + b^2 = c^2 \), wobei \( a = 8 \) und \( c = 10 \).

📌 Also, \( 8^2 + b^2 = 10^2 \), was sich vereinfacht zu \( 64 + b^2 = 100 \).

📌 Auflösen nach \( b \): \( b^2 = 100 - 64 = 36 \), also \( b = \sqrt{36} = 6 \) Einheiten.

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