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aleksandrvk [35]
2 years ago
9

Kelly, Jess, Sam and Evan are running for student council. Show all the ways that a president and vice president can be elected.

Mathematics
1 answer:
djyliett [7]2 years ago
4 0
Kelly, Jess
Kelly, Sam
Kelly, Evan
Jess, Sam
Jess, Evan
Sam, Evan
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A hovercraft takes off from a platform it’s height (in meters), x seconds after takeoff, is modeled by
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Answer:

  81 m

Step-by-step explanation:

Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).

  H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81

The height of the hovercraft at the time of takeoff is 81 meters.

8 0
2 years ago
Mr. Allen spent​ $40 for 6 movies. If each movie is the same​ price, how much would he have to spend for 24​ movies?
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Answer:

about $160

Step-by-step explanation:

$ 40/ for 6 movies = $6.66/movie

$6.66/movie x 24 movies = about $160

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2 years ago
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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
An 8-foot ladder leans against a wall and makes a 53° angle with the wall. Which is closest to the distance up the wall the ladd
kenny6666 [7]

Answer:

The ladder reaches 4.8 ft up the wall

Step-by-step explanation:

3 0
3 years ago
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