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Home » Shock the Boys: The Hottest Ear Studs Every Man Should Own! - Baxtercollege

Shock the Boys: The Hottest Ear Studs Every Man Should Own! - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 #### 829.44

📌 A circle with a radius of 7 cm is inscribed in a square. What is the area of the square not covered by the circle?

📌 The diameter of the circle is \( 2 \times 7 = 14 \) cm, which is also the side length of the square.

📌 The area of the square is \( 14^2 = 196 \) square centimeters.

📌 The area of the circle is \( \pi \times 7^2 = 49\pi \) square centimeters.

📌 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?

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Set this equal to 150:
\frac{n}{2} (4n + 10) = 150 \implies n(4n + 10) = 300 \implies 4n^2 +...
Divide by 2: \( 2n^2 + 5n - 150 = 0 \). Use the quadratic formula:
n = \frac{-5 \pm \sqrt{5^2 - 4(2)(-150)}}{2(2)} = \frac{-5 \pm \sqrt{2...
Take the positive root: \( n = \frac{30}{4} = 7.5 \). Since \( n \) mu...
S_7 = \frac{7}{2} (4(7) + 10) = \frac{7}{2} (38) = 7 \cdot 19 = 133 \l...
\( S_8 = \frac{8}{2} (4(8) + 10) = 4 \cdot 42 = 168 > 150 \), so maxim...
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Question: An ichthyologist observes that the population of a rare fish...
Solution: The population grows as \( 324 \times 2^{t/3} \), where \( t...

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