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Zarrin [17]
3 years ago
11

What is the value of X in simplest radical form X = ____

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

{20}^{2}  +  {15}^{2}   =  \sqrt{625}
square root of 625 is 25.
netineya [11]3 years ago
4 0

Answer:  x = 25

<u>Step-by-step explanation:</u>

Use the Pythagorean Theorem to find the hypotenuse.

a² + b² = c²    where a and b are the sides and c is the hypotenuse

20² + 15² = c²

400 + 225 = c²

625 = c²

\sqrt{625}=\sqrt{c^2}\\\\\sqrt{\underline{5\cdot5}\cdot \underline{5\cdot5}}=c\\\\5\cdot5 = c\\\\25=c

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Is the data set approximately periodic?
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Answer:

Option: C is the correct answer.

       C. Periodic with period 4 and amplitude of about 15.

Step-by-step explanation:

We are given the table of values as:

Hour             1 -- 2 -- 3 --  4 --  5 -- 6 -- 7 -- 8 -- 9 -- 10 -- 11

Number       24-41-10-32-26-38-9-31-25-39-12

of boats

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Hence,the data set is approximately periodic.

Also, the amplitude is calculated as:

Average of the maximum and minimum value of each set

We divide the set into 3 sets as follows:

 Hour                       1           2           3            4

Number of boat      24        41          10           32

Here we have amplitude as:

         (41-10)/2=15.5

 Hour                       5           6           7            8

Number of boat      26        38           9           31

  Amplitude is:

          (38-9)/2=14.5

Hour                       9           10          11            12

Number of boat      25        39          12      

            Amplitude is:

            (39-12)/2=13.5

Hence, we see that the amplitude is about 15.

   

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3 years ago
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