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Home » \( \sqrt2041 \) is irrational. But check possible integer value: try \( x = 3 \): - Groen Casting

\( \sqrt2041 \) is irrational. But check possible integer value: try \( x = 3 \): - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The profit is:

📌 \[ 6000 - 3000 = 3000 \]

📌 Question**: A circle has a radius that is 3 times the radius of another circle with a circumference of 10π meters. What is the area of the larger circle?

📌 Solution**: The circumference of the smaller circle is given by:

📌 \[ 2\pi r = 10\pi \]

📌 \[ r = 5 \]

📌 The radius of the larger circle is:

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\[ (37a + 7b + c) - (19a + 5b + c) = 45 - 25 \]
\[ 18a + 2b = 20 \Rightarrow 9a + b = 10 \quad \text{(E5)} \]
\[ (9a + b) - (6a + b) = 10 - 7 \Rightarrow 3a = 3 \Rightarrow a = 1 \...
Substitute \( a = 1 \) into E4:
\[ 6(1) + b = 7 \Rightarrow b = 1 \]
Substitute \( a = 1 \), \( b = 1 \) into E1:
\[ 7(1) + 3(1) + c = 11 \Rightarrow c = 11 - 7 - 3 = 1 \]
Substitute into (1):
\[ 1 + 1 + 1 + d = 4 \Rightarrow d = 1 \]
Thus, \( a = 1 \), \( b = 1 \), \( c = 1 \), \( d = 1 \).

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