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Home » Length becomes \( \frac122 = 6 \) cm, width remains 8 cm, height remains 6 cm. - Dachbleche24

Length becomes \( \frac122 = 6 \) cm, width remains 8 cm, height remains 6 cm. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A cylindrical tank with a radius of 3 meters is filled with water to a height of 10 meters. If the tank is emptied at a rate of 2 cubic meters per minute, how long will it take to completely empty the tank?

📌 The volume \( V \) of the cylinder is given by:

📌 V = \pi r^2 h = \pi \times 3^2 \times 10 = 90\pi \text{ cubic meters}

📌 At a rate of 2 cubic meters per minute, the time \( t \) to empty the tank is:

📌 t = \frac{90\pi}{2} = 45\pi \text{ minutes}

📌 Approximating \(\pi \approx 3.14\):

📌 t \approx 45 \times 3.14 = 141.3 \text{ minutes}

📌 A quadratic equation \( ax^2 + bx + c = 0 \) has roots \( \alpha \) and \( \beta \). If \( a = 2 \), \( b = -7 \), and \( c = 3 \), find the sum and product of the roots.

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لذلك، الطول هو \( 2w = 12 \).
تُعطى المساحة \( A \) بالصيغة:
A = \text{الطول} \times \text{العرض} = 12 \times 6 = 72
معادلة تربيعية لها جذور حيث يكون حاصل ضربهما 15 ومجموعهما 8. ما هي الم...
لنفترض أن الجذور هي \( r_1 \) و \( r_2 \).
يُعطى المجموع \( r_1 + r_2 = 8 \) وحاصل الضرب \( r_1 \cdot r_2 = 15 \)...
x^2 - (r_1 + r_2)x + r_1 \cdot r_2 = 0
x^2 - 8x + 15 = 0
#### \( x^2 - 8x + 15 = 0 \)
أسطوانة ارتفاعها 10 وحدات وحجمها \( 250\pi \) وحدة مكعبة. ما هو نصف قط...

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