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Home » Let the roots be \( 3k \) and \( 2k \). By Vieta's formulas, the sum of the roots is: - AMAZONAWS

Let the roots be \( 3k \) and \( 2k \). By Vieta's formulas, the sum of the roots is: - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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Thus, the radius of the inscribed circle is $ oxed{2} $ cm.
Question: A square with side length $ 8 $ cm is inscribed in a circle....
Solution: The diagonal of the square is the diameter of the circle. Fo...
d = s\sqrt{2}
Substituting $ s = 8 $:
d = 8\sqrt{2} ext{ cm}
This is the diameter of the circle. The circumference $ C $ of a circl...
C = \pi \cdot ext{diameter} = \pi \cdot 8\sqrt{2} = 8\sqrt{2}\pi ext...
Thus, the circumference of the circle is $ oxed{8\sqrt{2}\pi} $ cm.
Question: The area of an equilateral triangle is $ 25\sqrt{3} $ cmÂ²....

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Also, \( c = \sqrt{625} = 25 \) Fuß.
#### 25 Fuß
Ein zylindrischer Wassertank hat einen Radius von 5 Metern und eine Hö...
Das Volumen des Zylinders wird gegeben durch \( V = \pi r^2 h \).
Einsetzen der gegebenen Werte: \( V = 3,14 \times 5^2 \times 10 = 3,14...
Da der Tank zu 75 % gefüllt ist, beträgt das Wasservolumen \( 785 \tim...
#### 588,75 Kubikmeter
Eine Bakterienpopulation wächst exponentiell und verdoppelt sich alle...
Die Formel für exponentielles Wachstum lautet \( P = P_0 \times 2^{(t/...
Einsetzen der Werte: \( P = 500 \times 2^{(12/3)} = 500 \times 2^4 = 5...

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