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Karo-lina-s [1.5K]
2 years ago
11

URGENT PLEASE HELP 98 POINTS Find the direction angle of vector v to the nearest tenth of a degree.

Mathematics
2 answers:
julsineya [31]2 years ago
7 0

Answer:

The direction angle of vector v is equal to  9.5\°

Step-by-step explanation:

Let

A(-5,0),B(7,2)

The vector v is given by

v=B-A

v=(7, 2) - (-5, 0)

v=((7 - (- 5)), (2-0))

v=(12, 2)

Remember that

The direction angle of the vector is equal to

tan (\theta) =\frac{y}{x}

substitute the values

tan (\theta) =\frac{2}{12}

\theta=arctan(\frac{2}{12})=9.5\°

Step-by-step explanation:

put that in a computer calc and  it shoud give u the awnser

zlopas [31]2 years ago
5 0

Answer:

 The direction angle of vector v is equal to  9.5\°

Step-by-step explanation:

Let

A(-5,0),B(7,2)

The vector v is given by

v=B-A

v=(7, 2) - (-5, 0)

v=((7 - (- 5)), (2-0))

v=(12, 2)

 Remember that

The direction angle of the vector is equal to

 tan (\theta) =\frac{y}{x}

substitute the values

 tan (\theta) =\frac{2}{12}

 \theta=arctan(\frac{2}{12})=9.5\°

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Answer:

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Step-by-step explanation:

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-4(3n^{2} - 2) + 4

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7 0
3 years ago
Help me with this one math problem:)
Lisa [10]

Answer:

1/2

Step-by-step explanation:

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And a tip:

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4 0
2 years ago
September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e
Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

5y+y=108\\6y=108\\y=18

Find the value of x

x=5y -----> x=5(18)=90

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

3 0
3 years ago
Maths!
Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

              X                     X-\bar X                   (X-\bar X)^{2}

              5                   5 - 8 = -3                     9

              5                   5 - 8 = -3                     9

              8                   8 - 8 = 0                      0

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

              9                   9 - 8 = 1                       1

              9                   9 - 8 = 1                       1

         <u>     6     </u>              6 - 8 = -2             <u>        4       </u>          

Total <u>    72     </u>                                         <u>       36       </u>

<u>Firstly, the mean of the above data is given by;</u>

              Mean, \bar X  =  \frac{\sum X}{n}

                              =  \frac{72}{9}  = 8

(1)Now, the variance of the given data is;

            Variance  =  \frac{\sum (X-\bar X)^{2} }{n-1}

                                  =  \frac{36}{9-1}  = 4.5

So, the standard deviation, (S.D.)  =  \sqrt{\text{Variance}}

                                                        =  \sqrt{4.5} = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

              X                     X-\bar X                   (X-\bar X)^{2}

              7                   7 - 10 = -3                     9

              7                   7 - 10 = -3                     9

             10                  10 - 10 = 0                     0

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

              11                  11 - 10 = 1                       1

              11                  11 - 10 = 1                       1

         <u>     8     </u>              8 - 10 = -2             <u>        4       </u>          

Total <u>    90     </u>                                         <u>       36       </u>

<u>Firstly, the mean of the above data is given by;</u>

              Mean, \bar X  =  \frac{\sum X}{n}

                              =  \frac{90}{9}  = 10

(1)Now, the variance of the given data is;

            Variance  =  \frac{\sum (X-\bar X)^{2} }{n-1}

                                  =  \frac{36}{9-1}  = 4.5

So, the new standard deviation, (S.D.)  =  \sqrt{\text{Variance}}

                                                                =  \sqrt{4.5} = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged as we see in the case of variance or standard deviation.

4 0
3 years ago
How many solutions do intersecting lines have?
Annette [7]
There is one solution that the intersecting lines have cause two solution doesn't have the same slope.
5 0
3 years ago
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