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
Welcome back 10K — missed you this week. To show that x = 6.06 m, we need to equate the perimeter of the parallelogram to the circumference of the circle. Step 1: Calculate the circumference of the circle. The formula for the circumference of a circle is C = 2 r. Given radius r = 4 m. C = 2 × × 4 C = 8 m Step 2: Set up the expression for the perimeter of the parallelogram. The formula for the perimeter of a parallelogram is P = 2(a+b), where a and b are the lengths of the adjacent sides. Given sides are 6.51 m and x m. P = 2(6.51 + x) m Step 3: Equate the perimeter of the parallelogram to the circumference of the circle. 2(6.51 + x) = 8 Step 4: Solve for x. Divide both sides by 2: 6.51 + x = (8)/(2) 6.51 + x = 4 Subtract 6.51 from both sides: x = 4 - 6.51 Step 5: Calculate the numerical value of x and round to 2 decimal places. Using the value of ≈ 3.14159265...: x ≈ 4 × 3.14159265 - 6.51 x ≈ 12.5663706 - 6.51 x ≈ 6.0563706 Rounding to 2 decimal places, we look at the third decimal place. Since it is 6 (which is 5 or greater), we round up the second decimal place. x ≈ 6.06 m Thus, we have shown that x = 6.06 m. Send me the next one 📸