Answer:
4.8 feet
Step-by-step explanation:
Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.
Let x represent the horizontal distance (the adjacent leg)
cosine θ = adjacent / hypotenuse
cosine 76° = x / 20
(20)(cosine 76°) = x
4.8 = x
So, the horizontal distance is approximately 4.8 feet
Answer:
169 quarters
Step-by-step explanation:
Recall that 1 quarter = 25 pennies, and so the conversion factor is
1 quarter
-------------------
25 pennies
Use this conversion factor to convert 4246 pennies into quarters:
1 quarter
------------------- * 4246 pennies = 169.84
25 pennies
Obviously we cannot get our hands on 0.84 quarters, so round the above result down:
4246 pennies = 169 quarters plus 21 leftover pennies.
For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98
<h3>What is a sample size?</h3>
The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.
Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.
For a population mean of 20.15 and a standard deviation of 3.7
68% are within μ ± σ/√n,
hence,
68% = 20.15 ± 3.7/√20 = (19.32, 20.98)
For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.
To learn more about sample size from the given link:
brainly.com/question/22927560
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Answer:
<h3>5 inches</h3>
Step-by-step explanation:
A can is cylindrical in nature and volume of a cylinder is expressed as;
V = πr²h where;
r is the radius of the cylindrical can
h is the height of the can.
Given parameters
Volume of the can of soup = 20πin³
diameter of the can = 4inches
Since diameter = 2r
radius = d/2 = 4/2 = 2inches
Required parameter.
Height of the can
Substituting the given parameters into the formula to get the height h will give;
20π = πr²h
20 = r²h
20 = 2²h
20 = 4h
Divide both sides by 4:
4h/4 = 20/4
h = 5inches
<em>Hence the heighr of the can is 5 inches</em>
