This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Calculate the central angle representing men. The sum of angles in a pie chart is 360^. The angle for women is 120^. The angle for children is 169^. The angle for men is the total angle minus the sum of the angles for women and children. Angle for Men = 360^ - (120^ + 169^) Angle for Men = 360^ - 289^ Angle for Men = 71^ Step 2: Calculate the fraction of the population that are men. The fraction of men is the angle for men divided by the total angle of the circle. Fraction of Men = (71^)/(360^) Step 3: Calculate the number of men in the city. The total population of the city is 1,800,000. Number of Men = Fraction of Men × Total Population Number of Men = (71)/(360) × 1,800,000 Number of Men = 71 × (1,800,000)/(360) Number of Men = 71 × 5000 Number of Men = 355,000 The number of men in the city is 355,000. This corresponds to option (c). The final answer is (c) 355,000. What's next? 📸