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Home » So \( x = 8 \), larger integer is 9. - Ready Digital AB

So \( x = 8 \), larger integer is 9. - Ready Digital AB

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The area of a triangle is 54 square meters, and its base is 9 meters. Find its height.

📌 Area = 1/2 × base × height.

📌 = 1/2 × 9 × height.

📌 Solve for height: height = 54 / (1/2 × 9) = 12 meters.

📌 A sequence is defined by the formula a_n = 3n + 2. What is the 10th term?

📌 a_10 = 3(10) + 2 = 30 + 2 = 32.

📌 A ladder is leaning against a wall, reaching a height of 12 meters. If the ladder is 15 meters long, how far is the base of the ladder from the wall?

📌 Use the Pythagorean theorem: a² + b² = c².

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Solution: We compute the probability that exactly two distinct values...
Total number of possible outcomes: $101^3$, since each integer has 101...
Now, count favorable outcomes where exactly two distinct values occur.
Step 1: Choose the two distinct values. Let them be $a$ and $b$, $a
e b$. There are $inom{101}{2}$ ways to choose the pair.
Step 2: For each such pair, how many ways can the three integers be as...
The total assignments: $2^3 = 8$, but subtract the 2 cases where all a...
Thus, number of favorable outcomes:
inom{101}{2} \cdot 6 = rac{101 \cdot 100}{2} \cdot 6 = 5050 \cdot 6...
Total outcomes: $101^3 = 1030301$

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