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Tju [1.3M]
2 years ago
14

Two trains leave two different stations 300 km apart; the first starts at noon and the second at 12 15 h. Travelling on parallel

tracks, they meet each other at 15 00 h. Each train travels at a constant speed, the one leaving at 12 15 h moves at 15 km/h faster than the other. What are their speeds?​
Mathematics
1 answer:
alexgriva [62]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

From noon to 1500  is three hours

  train A    then travels  <u> 3x</u>   where x = speed in km/hr

  train B   only travels for 2.45 hours and covers

                  <u>   2.45 ( x + 15)  </u>        where x + 15 is its speed in km/hr

       these two values sum to the 300 km distance

3x     +     2.45 ( x + 15) = 300

3x + 2.45 x  + 36.75 = 300

x = 48.3 km/hr       x+15= 63.3 km / hr

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Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

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Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

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c=\sqrt{5^2+20^2}

c=5\sqrt{17}

c=20.6 ft

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3 years ago
Draw a visual model to solve 3/8 × 8/11​
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Answer:

Step-by-step explanation:

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or you can symplify 8 and get 3/11 right away.

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2 years ago
Identify the equation of the linear function through the points ​(- 2​,- 7​) and ​(1​,2​). Then state the rate of change of the
Assoli18 [71]

Answer:

The equation of line is y = 3 x - 1 , i.e option A  .

The rate of change = m = 3

Step-by-step explanation:

Given as :

The points are

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(x_2,y_2 ) = (1 , 2)

Let The slope = m

<u>Now, The slope is calculated in points form</u>

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or, m = \dfrac{9}{3}

I.e m = 3

So, The slope of points = m = 3

I,e Rate of change = m = 3

<u>Now, the equation of line in slope - point form can be written as</u>

y -y_1  = m ( x -  x_1)

where m is the slope of line

i.e y - (-7) = ( 3 ) × ( x - (-2) )

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∴ y + 7 = 3 x + 6

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Or, y = 3 x - 1

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horrorfan [7]

Answer:

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We can get the slope by using any two points

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