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
Right fortune, let's correct that for you. You are right, the previous solution calculated (A+B). Let's calculate (A-B) for Question 7. From the previous calculations: A = (5)/(12) B = (20)/(21) Step 1: Use the compound angle formula for (A-B). (A-B) = ( A - B)/(1 + A B) Step 2: Substitute the values of A and B. (A-B) = (5)/(12) - (20)/(21)1 + ((5)/(12))((20)/(21)) Step 3: Calculate the numerator. (5)/(12) - (20)/(21) = (5 · 7)/(12 · 7) - (20 · 4)/(21 · 4) = (35)/(84) - (80)/(84) = (35 - 80)/(84) = (-45)/(84) Simplify the numerator by dividing by 3: (-15)/(28). Step 4: Calculate the denominator. 1 + ((5)/(12))((20)/(21)) = 1 + (100)/(252) Simplify (100)/(252) by dividing by 4: (25)/(63). 1 + (25)/(63) = (63)/(63) + (25)/(63) = (63 + 25)/(63) = (88)/(63) Step 5: Divide the numerator by the denominator. (A-B) = (-15)/(28)(88)/(63) = (-15)/(28) × (63)/(88) Simplify by dividing 28 and 63 by their common factor 7: 28 ÷ 7 = 4 63 ÷ 7 = 9 (A-B) = (-15)/(4) × (9)/(88) = (-135)/(352) The value of (A-B) is (-135)/(352). Send me the next one 📸