The best approach to this is to use the law of cosine which is stated as
c2 = a2 + b2 â’ 2ab cos(C)
distance a=176.27; distance b=222.34; angle C=38.59; distance c is the missing value.
Hence c²=176.27²+222.34² -2*176.27*222.34cos38.59°= 138.71 miles
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Define x :
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Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width
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Formula for Perimeter :
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Perimeter = 2 (Length + Width)
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Find Width :
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58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides
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Find Length and Width :
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Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft
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Answer: The length is 21 ft and the width is 8 ft.
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Yes, it is possible to get three different values for the same statistics.
In statistics, the population is the pool of individuals from which a statistical sample is drawn for a study or for analyzation of the data and the numerical values which are obtained from the data is known as statistics. The measurement of sample is known sample statistics.
Now according to the question we have been given that there are three different samples of same size from a set of population. So data collected from these three different samples may be different that is it may vary from samples to samples. Therefore corresponding sample statistic will also vary sample to sample.
Hence , it is possible to get three different values for the same statistics.
Learn more about statistics here : brainly.com/question/14507622
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12^x - 2 = 20
12^x = 22
x log 12 = log 22
x = (log 22)/(log 12)
The rest is a calculator exercise. Use any base log you like, as long as both are the same base. (The right side is really the base-12 logarithm of 22, but nobody has a base-12-log key on their calculator.)
