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joja [24]
3 years ago
11

Please help urgent ! trig !

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Answer:

Sin = 6/7

cos = sqrt(13)/7

sec = 7sqrt(13) / 13

Step-by-step explanation:

First find the unknown side length using the pythagorean theorem (it equals 3sqrt(13))

Sin is opposite over hypotenuse, so it would be 18/21 or 6/7

Cos is adjacent over hypotenuse, so it would be 3sqrt(13) / 21 or sqrt(13)/7

Sec is the reciprocal of the cos, so it would be 7/sqrt(13). However, the answer is 7sqrt(13)/13 because we rationalized our bases.

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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
dalvyx [7]

Answer:

The measure of the side QR is 8.8.

Step-by-step explanation:

Since LMNO \sim PQRS, then SP \propto OL, RS \propto ON, RQ \propto MN and QP \propto LM. From figure we have the following relationship:

k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP} (1)

Where k is the proportionality ratio.

If we know that SP = 13, OL = 55, MN = 37, then the measure of side QR is:

k = \frac{OL}{SP} (1b)

k = \frac{55}{13}

k = \frac{MN}{QR}

QR = \frac{MN}{k} (1c)

QR = \frac{37}{\frac{55}{13} }

QR = 8.745

The measure of the side QR is 8.8.

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Read 2 more answers
Y=6-x In this case, what would be the slope and y-intercept? I'm having a hard time trying to get it to the y=mx+b format.
frutty [35]

Answer:

Slope = \frac{-1}{1} or -1

y = 6

Step-by-step explanation:

The equation given (y = 6 - x) is the same as saying

y = -1x + 6

Since we have a negative x variable and a positive 6 and would also be graphed the same. The only difference is that the second equation I just mentioned resembles the y = mx + b expression more. In this case the slope would be

Slope = \frac{-1}{1} or -1

While the y-intercept would be

y = 6 - x

y = 6 - 0

y = 6

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2 years ago
Write and equation for vertical translation y=2/3x ; 3 units down
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Answer:

y=2/3x - 3

Step-by-step explanation:

In order to move an equation down, you just subtract how many units you want to move down on the graph. In this case, you want to move 3 units down, so that's why you subtract by 3. Easy as that!

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3 years ago
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