3 is a factor of 12 and 75 so
12/75 = 4/25
The leaf plot on the data set would be 44
Answer:
102
Step-by-step explanation:
The first step is to find out how to find the next number in the term.
In this we can see that to get to the next number in the term we need to add 5.
The easiest way to figure out the 21st term of this, would be to multiply 5×21. This is equal to 105.
But since we started at three less than 5, we need to subtract 3 from 105. 105-3=102.
The 21st term is 102.
To solve for x, you need to do inverse operations to both sides. (also, you need to make 2 possibilities for the absolute value)
8 |x+7-3| = 5
Divide both sides by 8 and simplify like terms:
|x+4| = 5/8
Then, you need to separate into 2 different equations like this:
x +4 = 5/8 and
x + 4 = -5/8
Then, solving for x like this:
x = 5/8-4
x = -5/8-4
Which gets you
x = -3.375 and
x = -4.625
Hope this helped!
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Answer:
27 miles
Step-by-step explanation:
The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...
180° -50° -70° = 60°
Then the distance c can be found from ...
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732
c = √732 ≈ 27.055
The boats are 27 miles apart after 1 hour.