This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.
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Here are the solutions to the problems: 29. Use the tables of cubes to find the cube root of the following 654.8. To find the cube root of 654.8 using mathematical tables: Step 1: Locate the number 654.8 in the "number" column of the cube root table. If the table is for numbers N and their cube roots [3]N, you would look for 6.548 and adjust the decimal. Step 2: Read the corresponding value in the "cube root" column. Since I do not have access to a physical mathematical table, I will provide the value obtained using a calculator, which approximates the result you would get from a sufficiently detailed table. Using a calculator: [3]654.8 ≈ 8.6830 The cube root of 654.8 is approximately 8.683. 30. The volume of a cube was 0.007984 using mathematical table, find its length. The volume V of a cube with side length L is given by the formula V = L^3. To find the length L, we need to calculate the cube root of the volume: L = [3]V. Step 1: Substitute the given volume into the formula. L = [3]0.007984 Step 2: To use a mathematical table for cube roots, you would typically adjust the number to be between 1 and 1000, find its cube root, and then adjust the decimal place. For example, 0.007984 = 7.984 × 10^-3. Then [3]7.984 × 10^-3 = [3]7.984 × [3]10^-3 = [3]7.984 × 10^-1. You would look up [3]7.984 in the table and then multiply by 0.1. Since I do not have access to a physical mathematical table, I will provide the value obtained using a calculator. L = [3]0.007984 L ≈ 0.199866 The length of the cube is approximately 0.1999. 31. a) Construct a parallelogram WXYZ such that WX = 7cm, WZ = 5cm, WXY = 120^. To construct the parallelogram WXYZ: Step 1: Draw a line segment WX of length 7 cm. Step 2: At point X, use a protractor to construct an angle of 120^ with WX. Step 3: Along the arm of the 120^ angle from X, mark point Y such that XY = 5 cm (since opposite sides of a parallelogram are equal, XY = WZ). Step 4: From point W, draw an arc with a radius of 5 cm (length of WZ). Step 5: From point Y, draw an arc with a radius of 7 cm (length of YZ, which is equal to WX). Step 6: The intersection of the arcs from Step 4 and Step 5 is point Z. Step 7: Join WZ and YZ to complete the parallelogram WXYZ. That's 2 down. 3 left today — send the next one.