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
To make G the subject of the formula and then find its value, we follow these steps: Step 1: Rearrange the formula to make G the subject. The given formula is: T = 2 sqrt((L)/(G)) Divide both sides by 2: (T)/(2) = sqrt((L)/(G)) Square both sides to eliminate the square root: ((T)/(2))^2 = (L)/(G) (T^2)/(4^2) = (L)/(G) To isolate G, we can cross-multiply or take the reciprocal of both sides and then multiply by L: G T^2 = 4^2 L Divide by T^2: G = (4^2 L)/(T^2) Step 2: Substitute the given values into the rearranged formula. Given values are T=45, L=8, and =3.142. G = (4 × (3.142)^2 × 8)/((45)^2) Step 3: Calculate the squares of and T. (3.142)^2 = 9.872164 (45)^2 = 2025 Step 4: Substitute these values back into the equation for G and calculate. G = (4 × 9.872164 × 8)/(2025) G = (315.909248)/(2025) G ≈ 0.1560045669 Step 5: Round the value of G to the nearest whole number. G ≈ 0 Send me the next one 📸