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Anit [1.1K]
3 years ago
10

Help pls !!! It’s for a test

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0
Y=2x i guess!!!!! good luck
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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
g100num [7]

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

4 0
3 years ago
suppose you are standing on one bank of the river. A tree on the other side of the river is known to be 150ft tall. A line from
Eva8 [605]
You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft

3 0
3 years ago
A shark is swimming 60 feet below the surface of
Charra [1.4K]

Answer:

a

Step-by-step explanation:

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8 0
3 years ago
When Ryan was born, he weighed 7 pounds.At 6 months, he weighed 11.2 pounds. Amanda weighed 6 pounds when she was born, and 12.9
deff fn [24]

Answer:

Amanda had a greater percent increase in weight

Step-by-step explanation:

The percent change in Ryan’s weight was 4.2 /7

, or 60%. The percent change in Amanda’s weight was 6.9 /6

, or 115%.

6 0
3 years ago
Read 2 more answers
Two less than 3times a number is the same as the number plus 10.
lisov135 [29]
5 is the number

3n - 2 = n + 10 add 2 to both sides
3n = n + 10 subtract n from both sides
2n = 10 divide both sides by 2
n = 5
4 0
3 years ago
Read 2 more answers
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