This geography problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Okay, Kenneth. I'll help you with Question 2(a) from the image. This question asks to calculate the radii for proportional circles using the square root method. Step 1: Understand the square root method and the given scale. The square root method for proportional circles means that the radius (R) is proportional to the square root of the value (V). So, R = k sqrt(V), where k is a constant. The given scale is 1 cm radius for 10 units of value. We use this to find k. 1 cm = k sqrt(10 units) k = (1)/(sqrt(10)) cm/sqrt(unit) Thus, the formula for the radius of each circle is R = (1)/(sqrt(10)) sqrt(V) = sqrt((V)/(10)). Step 2: Calculate the radius for each mineral. • For Rutile (V = 196 US Dollars): R_Rutile = sqrt((196)/(10)) = sqrt(19.6) ≈ 4.43 cm • For Diamond (V = 400 US Dollars): R_Diamond = sqrt((400)/(10)) = sqrt(40) ≈ 6.32 cm • For Bauxite (V = 729 US Dollars): R_Bauxite = sqrt((729)/(10)) = sqrt(72.9) ≈ 8.54 cm • For Gold (V = 900 US Dollars): R_Gold = sqrt((900)/(10)) = sqrt(90) ≈ 9.49 cm The radii for the proportional circles are: Rutile: 4.43 cm Diamond: 6.32 cm Bauxite: 8.54 cm Gold: 9.49 cm 3 done, 2 left today. You're making progress.