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 convert angles from radians (denoted by 'c') to degrees, we use the conversion factor: 1^c = ((180)/())^ i) Convert ((7)/(12))^c to degrees. Step 1: Multiply the radian measure by the conversion factor. ((7)/(12))^c = ((7)/(12) × (180)/())^ Step 2: Cancel out and simplify the numerical values. = ((7 × 180)/(12))^ = (7 × 15)^ = 105^ ii) Convert (-(5)/(3))^c to degrees. Step 1: Multiply the radian measure by the conversion factor. (-(5)/(3))^c = (-(5)/(3) × (180)/())^ Step 2: Cancel out and simplify the numerical values. = (-(5 × 180)/(3))^ = (-5 × 60)^ = -300^ iii) Convert 5^c to degrees. Step 1: Multiply the radian measure by the conversion factor. 5^c = (5 × (180)/())^ Step 2: Simplify the expression. = ((900)/())^ Step 3: Calculate the approximate numerical value (using ≈ 3.14159). = ((900)/(3.14159))^ ≈ 286.48^ = ((900)/())^ ≈ 286.48^ iv) Convert ((11)/(18))^c to degrees. Step 1: Multiply the radian measure by the conversion factor. ((11)/(18))^c = ((11)/(18) × (180)/())^ Step 2: Cancel out and simplify the numerical values. = ((11 × 180)/(18))^ = (11 × 10)^ = 110^ v) Convert (-(1)/(4))^c to degrees. Step 1: Multiply the radian measure by the conversion factor. (-(1)/(4))^c = (-(1)/(4) × (180)/())^ Step 2: Simplify the expression. = (-(180)/(4))^ = (-(45)/())^ Step 3: Calculate the approximate numerical value (using ≈ 3.14159). = (-(45)/(3.14159))^ ≈ -14.32^ = (-(45)/())^ ≈ -14.32^