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12345 [234]
2 years ago
6

find the angle between vectors a =(1,2) and b = (1,-1/2). Brainliest for correct answer. Look at photo.

Mathematics
1 answer:
rosijanka [135]2 years ago
8 0

Answer:

  90°

Step-by-step explanation:

The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.

__

The slope to point 'a' is y/x = 2/1 = 2.

The slope to point 'b' is y/x = (-1/2)/1 = -1/2.

The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.

__

We can also use the trig formula for the tangent of the difference of angles.

  tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangents are the slopes, calculated above, so we have ...

  tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = <em>undefined</em>

The tangent is <em>undefined</em> for angles that are odd multiples of 90°. The angle between the vectors is 90°.

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Daniel [21]

Answer:

Step-by-step explanation:

41. -3

42. 3

43 y^19

7 0
3 years ago
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ohaa [14]

Answer: A is first

Step-by-step explanation:

3 0
3 years ago
Whats the answer to that question?
gavmur [86]

Answer:

-0.9090... can be written as \frac{10}{11}.

Explanation:

Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.

We can start by listing out

0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now. we let this series be equal to x, that is

x = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now, we'll multiply both sides by 100 .

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...

Then, subtract the 1st equation from the second like so:

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

-x = - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...

And we end up with this:

99x=90

Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.

x=\frac{90}{99}

Which can be reduced and simplified to

x=\frac{10}{11}

Hope this helps!

4 0
3 years ago
After allowing 20percent discount and levying 13percent vat the value of a watch will be rs 904 what is the marked price of watc
Eddi Din [679]

9514 1404 393

Answer:

  ₹1000

Step-by-step explanation:

Let m represent the marked price. After the discount, the price is 0.80m. After the tax is added, the price is (0.80m)(1.13). This value is Rs 904, so the marked price is ...

  (0.80m)(1.3) = ₹904

  m = ₹904/(0.80×1.13) = ₹904/0.904

  m ≈ ₹1000

The marked price of the watch is ₹1000.

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3 years ago
I need help with this question and no link or I’ll report u
Ugo [173]
It would be 35 because we can assume that both y’s on the left side are parallel to the right side, and so they would have to be a 35 on each side
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