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3 years ago

Find the angle between the given vectors to the nearest tenth of a degree. u = <8, 4>, v = <9, -9> (5 points)

Mathematics

1 answer:

alexdok [17]3 years ago

6 0

There are a number of ways to do this. One way is to use a graphics program to measure it.

The angle is 71.6°.

Another way is to divide the vectors and look at the angle of the result.
(8 +4i)/(9 -9i) = (8 +4i)(9 +9i)/162
= 36 +108i
So the angle is
arctan(108/36) ≈ 71.565° ≈ 71.6°

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x = $\sqrt{6}$ , y = 2 $\sqrt{3}$

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using the cosine ratio in the right triangle and the exact value

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1 year ago

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

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We need a sample size of at least 719

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

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Now, find the margin of error M as such

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How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

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We need a sample size of at least 719

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2 years ago

HELP ASAP

serg [7]

The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

<h3>What is the equation of line?</h3>

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

The formula to find equation of line is,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

Here, x and y are the coordinate and subscript (1,2) used for the first and second point.

The points from which the line passes through are (2,5) and (-2,-3). Put the values,

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Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

Learn more about the equation of line here;

brainly.com/question/13763238

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