You can utilize the Pythagorean theorem expressed as a^2 + b^2 = c^2... if b is unknown, you can rearrange the formula. Hence, c^2 - a^2 = b^2. Squaring 47 gives 2209 and squaring 13 yields 169... Subtracting gives you 2209-169, which results in 2040. Taking the square root of that yields approximately 45.166359, which can be rounded to 45 or as 45.167 when expressed to two decimal places. I hope this helps!:)
The toddler weighs 12.5 kg.
In-depth explanation:
The formula for gravitational potential energy is Ep=mgh where;
Ep=gravitational potential energy
m=mass of an object
g=gravitational field strength
h=height in meters
Given that; h= 1.5m, Ep=187.5J, g=10 N/kg then finding m;
Ep=mgh
187.5=m*10*1.5
187.5=15m
187.5/15 =15m/15
m=12.5 kg
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- Gravitation potential energy:
Keywords: Mass, gravitational potential energy
Answer:
Step-by-step explanation:
Aligning each vocabulary term with its relevant example:
(1). All Americans = f. Population (a collective of items or subjects studied, e.g., residents of an area, the number of vehicles in a city, or employees in a workplace)
(2). The percentage of all Americans who strongly believe prisoners with life sentences who develop Alzheimer's should be released = c. Parameter (the figure summarizing a characteristic of a population)
(3). The percentage of the 85 surveyed Americans who strongly feel that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the characteristic of a sample that corresponds to a population parameter used for statistical inference)
(4). The responses being 'Strongly Agree', 'Agree', 'Disagree', or 'Strongly Disagree' = b. Variable (any measurable quality or characteristic)
(5). The 85 individuals surveyed = e. Sample (a subset of a population chosen based on certain criteria)
(6). The array of responses provided by the 85 participants = a. Data (the collected pieces of information meant for analysis)
