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Trava [24]
3 years ago
8

My sister wanted to ask for help

Mathematics
1 answer:
Alla [95]3 years ago
4 0
For 2,000 ten times is 20,000 and for 1/10 of is 200
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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
4*(5+3)-(8/4)+3*4 what is answer
levacccp [35]
<span>4*(5+3)-(8/4)+3*4

4(8) - (2) + 3 x 4

32 - 2 + 12

30 + 12

42

The answer is 42, I believe.</span>
3 0
3 years ago
The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diamet
murzikaleks [220]
19.6 would be the area of a single base circle πr² is the area formula
5 0
3 years ago
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Which measure of center best represents the data?<br><br> 8,8,7,8,8,8,1,8,8
ehidna [41]

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

4 0
3 years ago
Read 2 more answers
PLEASE HELP<br> How to do this
Ne4ueva [31]
I believe 20 is your answer. Tell me if I’m wrong.
4 0
2 years ago
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