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"These Sonic Villains Will Ruin Your Childhood – One Bad Move at a Time! - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 r = \frac{A}{s} = \frac{84}{28} = 3 \text{ cm}

📌 \text{Area} = \pi r^2 = \pi \times 3^2 = 9\pi \text{ cm}^2

📌 Thus, the area of the inscribed circle is \(\boxed{9\pi}\).

📌 An equilateral triangle has a side length of 10 cm. If each side is decreased by 2 cm, by how many square centimeters does the area decrease?

📌 The area \(A\) of an equilateral triangle with side length \(s\) is given by:

📌 The original side length is 10 cm, so the original area is:

📌 A_{\text{original}} = \frac{\sqrt{3}}{4} \times 10^2 = \frac{\sqrt{3}}{4} \times 100 = 25\sqrt{3} \text{ cm}^2

📌 The new side length is \(10 - 2 = 8\) cm. The new area is:

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2 primes: one even (2), two odd (3,5)
2 non-primes: one odd (1), two even (4,6)
Let $ a $ = number of odd primes (0 or 1 or 2), but only two primes: o...
Similarly, $ b $ = number of odd non-primes among two non-primes → 0,...
We consider all combinations of odd/even contributions and count those...
Let’s define:
Odd primes: 3,5 → 2 choices, contribute odd
Even primes: 2 → 1 choice, contributes even
Odd non-primes: 1 → 1 choice, odd
Even non-primes: 4,6 → 2 choices, even

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- 2\sqrt{30}
But this is not simplified numerically.
Alternatively, is there a better way?
But 2√30 is exact.
However, check if 5-12-13 is correct — yes.
- 2\sqrt{30} \approx 1.05 \, \text{m}, \text{ but exact form: } 12 - 2...
But the decrease is \( 12 - \sqrt{120} \), and since \( \sqrt{120} = 2...
But perhaps leave as:
The top slides down by \( 12 - \sqrt{120} = 12 - 2\sqrt{30} \) meters.
But the problem likely expects a simplified radical or decimal? But in...

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