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grin007 [14]
3 years ago
9

What is the distance between points S and T? number line running from negative 4 to 16. point s is at negative 2. point t is at

14. Enter your answer in the box. units

Mathematics
2 answers:
Tju [1.3M]3 years ago
6 0

Answer: ST=16

Step-by-step explanation:

i think this the right answer but I don't know for sure.

S= -2 T= 14

ST+ |-2-14|

    = |-16|

ST= 16

Lisa [10]3 years ago
6 0

Answer:

16 units

Step-by-step explanation:

Given,

In the number line,

Point S is on -2,

While, point T is at 14,

Since, when we find the distance between two point in the number line then we find the positive difference between the points,

Thus, the distance between S and T  = | -2 - 14 | = | - 16 | = 16 units

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Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
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Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

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