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\frac15y = \frac53 - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The area is \( w \times length = 8 \times 24 = 192 \).

📌 A circle has a circumference of 31.4 units. What is its area? (Use \( \pi \approx 3.14 \))

📌 The circumference is given by \( 2\pi r = 31.4 \).

📌 Solving for \( r \), \( r = \frac{31.4}{2 \times 3.14} = 5 \).

📌 The area of the circle is \( \pi r^2 = 3.14 \times 5^2 = 3.14 \times 25 = 78.5 \).

📌 The sum of the squares of three consecutive integers is 365. What is the middle integer?

📌 Let the integers be \( n - 1, n, n + 1 \).

📌 Their squares sum to \( (n - 1)^2 + n^2 + (n + 1)^2 = 365 \).

🔥 Popular Posts

Subtract 3 from all parts:
\leq 7k \leq 97
Divide the entire inequality by 7:
-\frac{2}{7} \leq k \leq \frac{97}{7}
Since \( k \) must be a non-negative integer, the smallest possible va...
k \leq \left\lfloor \frac{97}{7} \right\rfloor = 13
Therefore, \( k \) can range from 0 to 13. The number of integers \( k...
- 0 + 1 = 14
Thus, there are 14 integers among the first 100 positive integers that...
\boxed{14}

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