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 Olivia's — let's do this. 1. Determine the height of a person with a BMI of 24.2 kg/m^2 and weight 75 kg. Step 1: State the correct BMI formula and rearrange it to solve for height. The Body Mass Index (BMI) is calculated using the formula: BMI = weightheight^2 To find the height, we rearrange the formula: height^2 = weightBMI height = sqrt(weight)BMI Step 2: Substitute the given values into the rearranged formula. Given: Weight = 75 kg BMI = 24.2 kg/m^2 height = sqrt(75 kg)24.2 kg/m^2 Step 3: Calculate the height. height = sqrt(3.09917355 m)^2 height ≈ 1.760 m The height of the person is approximately 1.76 m. 2. Determine the BMI of a person who weighs 75 kg and is 175 cm tall. Step 1: Convert the height from centimeters to meters. The BMI formula requires height in meters. 175 cm = 175 × (1)/(100) m = 1.75 m Step 2: State the BMI formula and substitute the given values. BMI = weightheight^2 Given: Weight = 75 kg Height = 1.75 m BMI = 75 kg(1.75 m)^2 Step 3: Calculate the BMI. BMI = 75 kg3.0625 m^2 BMI ≈ 24.49 kg/m^2 The BMI of the person is approximately 24.49 kg/m^2. Send me the next one 📸