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Likurg_2 [28]
2 years ago
6

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
2 answers:
olga_2 [115]2 years ago
6 0

Answer:

10

Step-by-step explanation:

\sin 30\degree = \frac{5}{x}\\\\ \frac{1}{2}= \frac{5}{x}\\\\x = 5\times 2\\\\x = 10 \\

hram777 [196]2 years ago
5 0

Officer: "How old was she?!"

Seggs Defender: ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
kipiarov [429]

Answer:

25 years

Step-by-step explanation:

Solution:-

- Data for the average daily temperature on January 1 from 1900 to 1934 for city A.

- The distribution X has the following parameters:

                    Mean u = 24°C

                    standard deviation σ = 4°C

- We will first construct an interval about mean of 1 standard deviation as follows:

  Interval for 1 standard deviation ( σ ):                                    

                    [ u - σ , u + σ ]

                    [ 24 - 4 , 24 + 4 ]

                    [ 20 , 28 ] °C

- Now we will use the graph given to determine the number of years the temperature T lied in the above calculated range: [ 20 , 28 ].

           T1 = 20 , n1 = 2 years

           T2 = 21 , n2 = 3 years  

           T3 = 22 , n3 = 2 years

           T4 = 23 , n4 = 4 years  

           T5 = 24 , n5 = 3 years

           T6 = 25 , n6 = 3 years  

           T7 = 26 , n7 = 5 years

           T8 = 27 , n8 = 2 years

           T5 = 28 , n9 = 1 years

- The total number of years:

               ∑ni = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9

                     =  2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1

                     = 25 years          

3 0
2 years ago
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Simplify the following expression:<br> 9^−53 ⋅ 9^37<br><br> Please also explain your answer. Thanks!
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Step-by-step explanation:

a^b*a^c= a^b+c

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What is the image of the point (-7,4) after a rotation of 180 counterclockwise about the origin?
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Step-by-step explanation:

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