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larisa86 [58]
4 years ago
6

Can you please help answer this ​

Mathematics
1 answer:
VMariaS [17]4 years ago
8 0

Answer:

\cos( \alpha )  =  \frac{20}{29}

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Is the data set approximately periodic?
wolverine [178]

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

As we could see that after every 4 value the values are approximately repeating.

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.

   

4 0
3 years ago
Urgent help pleaseeeeeee
Helga [31]

Answer:

2x - 10 = 10 - 3x

Simplifying

2x + -10 = 10 + -3x

Reorder the terms:

-10 + 2x = 10 + -3x

Solving

-10 + 2x = 10 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

-10 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x

-10 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0

-10 + 5x = 10 + 0

-10 + 5x = 10

Add '10' to each side of the equation.

-10 + 10 + 5x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 5x = 10 + 10

5x = 10 + 10

Combine like terms: 10 + 10 = 20

5x = 20

Divide each side by '5'.

x = 4

Simplifying

x = 4

3 0
3 years ago
Read 2 more answers
a section of ground measures 1.5 cubic meters and contains 0.78 gram of gold. what is the amount of gold per cubic meter? explai
I am Lyosha [343]
The answer

<span>the amount of gold per cubic meter can be found by the ratio

0.78 g  /1 </span><span>.5 cubic meters = 0.52 g / cubic meter,  
proof 
it was said </span><span>the amount of gold per cubic meter (Density)</span>
7 0
3 years ago
(x - 3)(2x^2 - 5x + 1)
Sunny_sXe [5.5K]

Answer:

2x^3-11x^2+16x-3

Step-by-step explanation:

Multiply x to all the other factors in the second parenthesis

Multiply -3 to all the other factors in the second parenthesis

3 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a t
Dima020 [189]
See the picture attached
5 0
3 years ago
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