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Lelechka [254]
2 years ago
6

What other angle between O and 360 degrees has the same TAN value as 71

Mathematics
1 answer:
atroni [7]2 years ago
5 0

Answer:

<u>-289 degrees</u>

Step-by-step explanation:

You are looking for what is called  <u>Coterminal Angles</u>.

To find a coterminal angle between 0 and 360 you <u>add or subtract</u> 360.

  1. In this case, we subtracted 360 from 71
  2. 71 - 360 = -289
  3. tan(-289) = 2.90
  4. If  TAN 71 = 2.90 and TAN -289 = 2.90, you know -289 is your answer.

Hope this helps!! Please mark Brainliest!!!

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A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
If c=25 and B=75 degrees, find a. Round to the nearest tenth.
worty [1.4K]

Answer:

a=6.9

Step-by-step explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get \frac{\sin(90^\circ)}{25} = \frac{\sin(16^\circ)}{a}, which after cross multiplying yields a=\sin(16^\circ)\cdot25\approx 6.9. PM me if you have any questions?

5 0
3 years ago
Jay traveled from Miami to Jacksonville, a distance of 320 miles. He left Miami at 8:00 AM, stopped for lunch for 30 minutes, an
fredd [130]
Distance Rate times Time
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5 0
3 years ago
What’s the answer pleazzzzz helplllllll 9m^2-4m-6 by 3m
dlinn [17]

Answer

D. 3m - 4/3 -2/m


<u>Explanation</u>

(9m²-4m-6) ÷ 3m  = 9m²/3m - 4m/3m - 6/3m

Carry out the division, each term is divided by 3m.

9m²/3m = 3m

- 4m/3m = -4/3

- 6/3m = - 2/m

Finally you will get,

<em>3m - 4/3 -2/m</em>

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3 years ago
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Afina-wow [57]
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3 years ago
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