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
Alright — let's do this. Step 1: Identify the given scale and prototype measurement. The scale is 1:5. This means that for every 1 unit on the prototype, there are 5 units on the actual gear. The prototype diameter is 6 cm. Step 2: Set up the ratio to find the actual diameter. Let D_p be the prototype diameter and D_a be the actual diameter. The scale can be written as a ratio: (D_p)/(D_a) = (1)/(5) Step 3: Substitute the given prototype diameter and solve for the actual diameter. 6 cmD_a = (1)/(5) To find D_a, multiply both sides by 5 × D_a: D_a = 5 × 6 cm D_a = 30 cm The machinists must produce a diameter of 30 cm. 30 cm Send me the next one 📸