Answer:
12
Step-by-step explanation:
You need the greatest common factor of 168 and 60.
168 = 2^3 * 3 * 7
60 = 2^2 * 3 * 5
For the GCF, you need common factors with the lower exponent.
Between 2^3 and 2^2, choose 2^2.
Then you have 3 as a common factor.
5 and seven are not common.
GCF = 2^2 * 3 = 12
Answer: 12
2,2,2,2,3,5,7,9,9,10,11,12,18 find the median
Natasha2012 [34]
Answer:
median = 7
Step-by-step explanation:
The median is the middle value of the data set arranged in ascending order
2, 2, 2, 2, 3, 5, 7, 9, 9, 10, 11, 12, 18
↑ middle value
median = 7
Answer: 96
seth got 18 more than frank
in terms of ratio he got 3 more than frank
this means that 3 is equal to 18
so we find the whole ratio to fing the total
You would now have to pay her $9.85
Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
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Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
