1. .11111 (continued)
2. .015625
3. .015625
Answer:
0.5n = 3.5
3n = 21
8n = 56
Answer: the 2 integers are 15 and 17
Step-by-step explanation:
Let x represent the hypotenuse of the right angle triangle. Since the hypotenuse and the other leg are odd consecutive integers, then the other leg is x - 2 because x is longer
When a right angle triangle is formed, it means that
Hypotenuse² = opposite side² + adjacent side²
If the shortest side is 8, it means that
x² = (x - 2)² + 8²
x² = x² - 2x - 2x + 4 + 64
x² - x² + 2x + 2x = 68
4x = 68
x = 68/4 = 17
Therefore, the length of the other leg is
x - 2 = 17 - 2 = 15
