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Home » Or sum 224 for n=14. - Upplift

Or sum 224 for n=14. - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 G. Reduces to 1/4

📌 H. Reduces to 2

📌 I. Reduces to 1/2

📌 J. None of the above

📌 Correct Answer:

📌 The original rate is \( R = k[A]^2[B] \).

📌 If \( [A] \) becomes \( 2[A] \) and \( [B] \) becomes \( \frac{1}{2}[B] \), the new rate is:

📌 R_{\text{new}} = k(2[A])^2 \cdot \frac{1}{2}[B] = k \cdot 4[A]^2 \cdot \frac{1}{2}[B] = 2k[A]^2[B] = 2R

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So $ k = r $. Now compute the area of the triangle:
\text{Area} = \frac{1}{2} \cdot 3k \cdot 4k = 6k^2 = 6r^2
The area of the inscribed circle is:
\pi r^2
Thus, the ratio of the area of the circle to the area of the triangle...
\frac{\pi r^2}{6r^2} = \frac{\pi}{6}
Therefore, the ratio is $ \boxed{\frac{\pi}{6}} $.
Question: A square with side length $ s $ is inscribed in a circle. If...
The circumference of the circle is given by $ 2\pi R = 10\pi $, so sol...
R = 5 \text{ cm}

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