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Home » Bloom Alert! Discover Magic Secrets to Winx Club’s Next Big Victory! - Dachbleche24

Bloom Alert! Discover Magic Secrets to Winx Club’s Next Big Victory! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Now compute $S(5,2) = 2 \cdot S(4,2) + S(4,1) = 2 \cdot 7 + 1 = 14 + 1 = 15$

📌 S(6,3) = 3 \cdot 25 + 15 = 75 + 15 = 90

📌 Thus, the number of ways is $\boxed{90}$.**Question:

📌 Find the length of the shortest altitude in a triangle with sides measuring 13, 14, and 15 units.

📌 First, we calculate the area \( A \) of the triangle using Heron's formula. The semi-perimeter \( s \) is given by:

📌 A = \sqrt{s(s-13)(s-14)(s-15)} = \sqrt{21 \times 8 \times 7 \times 6}

📌 The altitudes \( h_a \), \( h_b \), and \( h_c \) corresponding to sides \( a = 13 \), \( b = 14 \), and \( c = 15 \) are calculated as follows:

📌 h_a = \frac{2A}{a} = \frac{2 \times 84}{13} = \frac{168}{13} \approx 12.92

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Thus, the sum of all positive odd divisors of 180 is $ \boxed{78} $.
Question: What is the remainder when $ 11071 + 11073 + 11075 + 11077 $...
Solution: We compute the sum modulo 8. First, reduce each term modulo...
\equiv 7 \pmod{8}, \quad 11073 \equiv 1 \pmod{8}, \quad 11075 \equiv 3...
Now sum them modulo 8:
+ 1 + 3 + 5 = 16 \equiv 0 \pmod{8}
Question: What two-digit positive integer is one more than a multiple...
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