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.
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Here are the solutions to the questions: Question 10: The investigation aims to determine who can throw a baseball the farthest. To make this a fair comparison, all conditions that could affect the throwing distance, other than the player's ability, should be kept constant. A. Height of players: While player height can influence throwing ability, in an experiment comparing different* players, their individual heights are usually considered part of their unique characteristics being tested, not a variable to be controlled unless the experiment specifically aims to study the effect of height. B. Color of the baseballs thrown: The color of the baseball has no impact on how far it can be thrown. C. Spot from which players throw: This is a crucial constant. If players throw from different starting points, the measured distances would not be comparable, making it impossible to accurately determine who threw the farthest from a consistent reference. D. Order in which the players throw: The sequence in which players throw does not affect the physical outcome of their individual throws. Therefore, the most important factor to keep constant for a fair comparison of throwing distance is the spot from which they throw. The correct option is C. C. Spot from which players throw. Question 11: To find the height in meters, we first convert the height from feet and inches to total inches, then to centimeters, and finally to meters. Step 1: Convert feet to inches. There are 12 inches in 1 foot. 5 feet = 5 × 12 inches = 60 inches Step 2: Add the remaining inches to find the total height in inches. Total inches = 60 inches + 3 inches = 63 inches Step 3: Convert total inches to centimeters. There are 2.54 cm in 1 inch. Total centimeters = 63 inches × 2.54 cminch = 160.02 cm Step 4: Convert centimeters to meters. There are 100 cm in 1 meter. Total meters = 160.02 cm100 cmm = 1.6002 m Step 5: Round to the nearest option. The calculated height of 1.6002 m is closest to 1.6 m. The correct option is D. D. 1.6m Last free one today — make it count tomorrow, or type /upgrade for unlimited.