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pashok25 [27]
3 years ago
14

Find the unknown length x using tan() = O/A rule to two decimal places.

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

Solution given:

Relationship between opposite and adjacent is given by tan angle

so

Tan 22=\frac{opposite} {adjacent}=\frac{x}{12}

doing crisscrossed multiplication

Tan 22*12=x

so

<u>x=4.84</u>

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vagabundo [1.1K]

Using Pythagorean theorem, we can find that DG is 10.(I don't think I need to explain this)

Now cosD means the adjacent side over the hypotenuse.

The side adjacent to <D is 6 and the hypotenuse is 10 so

cosD=6/10=3/5

Which means the correct answer is choice D.

Hope this helped!

6 0
3 years ago
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lisov135 [29]
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Brian works in the lab and feels an empty cylindrical flask with 200 cubic centimeters of liquid. The flask has a radius of 3 cm
Fittoniya [83]

Answer:

<h2>49.49%</h2>

Step-by-step explanation:

volume of liquid in the flask= 200 cm^3

radius of the flask = 3 cm

height of the  flask= 12 cm

volume of flask is given by =

putting values and solving we get =396 cm^3

therefore the volume unfilled= 396-200= 196cm^3

therefore % of volume unfilled= 196/396*100= 49.49%

6 0
4 years ago
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3 0
3 years ago
Jessi is making a clay tower for an art project. The tower has a rectangular base with an area of 36 cm2. She wants
nydimaria [60]

Answer:

360cm3

Step-by-step explanation:

To do this, you can multiply the base (l * w) by the height to determine the volume. This would be 36*10=360. Then remember that it is a 3 dimensional shape, so the valume is cubed.

7 0
3 years ago
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