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
Step 1: Calculate the total number of junior workers. Total workers = 78 (Clerks) + 36 (Drivers) + 44 (Typists) + 52 (Messengers) + 30 (Other) Total workers = 240 Step 2: Calculate the angle for each category in the pie chart. The total angle in a circle is 360^. The formula for the angle of a sector is: Angle = ( Number in categoryTotal workers ) × 360^ • Clerks: Angle for Clerks = ( (78)/(240) ) × 360^ = 0.325 × 360^ = 117^ • Drivers: Angle for Drivers = ( (36)/(240) ) × 360^ = 0.15 × 360^ = 54^ • Typists: Angle for Typists = ( (44)/(240) ) × 360^ = 0.1833... × 360^ = 66^ • Messengers: Angle for Messengers = ( (52)/(240) ) × 360^ = 0.2166... × 360^ = 78^ • Other: Angle for Other = ( (30)/(240) ) × 360^ = 0.125 × 360^ = 45^ Step 3: Summarize the angles for the pie chart. Clerks: 117^ Drivers: 54^ Typists: 66^ Messengers: 78^ Other: 45^ These angles sum to 117^ + 54^ + 66^ + 78^ + 45^ = 360^. Send me the next one 📸