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Nataly [62]
3 years ago
5

What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

Answer:

30

Step-by-step explanation:

\sin^{-1}(\theta) is going to output a number in between \frac{-\pi}{2} and \frac{\pi}{2}.

Luckily you are looking for \theta in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering \sin^{-1}(\frac{1}{2}) in your calculator.

You may also use the unit circle.  sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.

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Rachel is a stunt driver, and she's escaping from a building that is about to explode!
lutik1710 [3]

Answer:

The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t

Step-by-step explanation:

From given, we have,  The expression that represents the Rachel's distance is given by, d = - 38t + 220                                                                      

where, d represents the distance in meters

            t represents the time in seconds                                                              

 

We know that, speed = distance by time.  Therefore, we need to differentiate the given equation w.r.t to time to find the speed.

we have,  d/dt (d) = d/dt [- 38t + 220]

| d/dt (d) | = | - 38 + 0 |

s =  d/dt (d) = 38 m/s

Therefore, the speed of Rachel is 38 m/s.

5 0
3 years ago
Heron Island is a coral cay in the Great Barrier Reef. Around Heron Island (and elsewhere in Australia) there are 2 color morphs
kobusy [5.1K]

In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.

<h3><u>Ratios</u></h3>

Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:

A)

  • 3 + 1 = 4
  • 16 + 4 = 20
  • 4 = 20
  • 3 = X
  • 60 / 4 = X
  • 15 = X
  • Therefore, as the error would be a difference of 1, the assumption could be mantained.

B)

  • 3 + 1 = 4
  • 160 + 40 = 200
  • 150 = 3:1
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Learn more about ratios in brainly.com/question/1504221

3 0
3 years ago
Suppose that a police officer measured the speed of cars on a highway for an hour. The average speed of the cars was 71.3 and th
ad-work [718]

Answer:

The new mean is 76.2

Step-by-step explanation:

Given

Given  

Old mean = 71.3

Every observation is increased by 4.9.  

Let the data set has N entries, then

The new mean would be  

(71.3 *N + 4.9*N)/N

The new mean  = 71.3 + 4.9 = 76.2

6 0
3 years ago
Can someone please help me with this question?
nekit [7.7K]
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7 0
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den301095 [7]

Answer:

Don't know

Step-by-step explanation:

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3 years ago
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