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Home » Multiply numerator and denominator by conjugate \( 4 + i \): - Abu Waleed Tea

Multiply numerator and denominator by conjugate \( 4 + i \): - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The area not covered by the circle is \( 196 - 49\pi \) square centimeters.

📌 #### 196 - 49π

📌 A pyramid with a square base of side 6 meters and a height of 10 meters is filled with sand. If the sand is spread evenly in a rectangular containment with dimensions 3 meters by 4 meters, what is the height of the sand layer?

📌 The volume of the pyramid is \( V = \frac{1}{3} \times \text{base area} \times \text{height} \).

📌 Base area = \( 6 \times 6 = 36 \) square meters.

📌 Volume = \( \frac{1}{3} \times 36 \times 10 = 120 \) cubic meters.

📌 The base area of the rectangular container is \( 3 \times 4 = 12 \) square meters.

📌 The height of the sand layer is \( \frac{120}{12} = 10 \) meters.

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