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strojnjashka [21]
4 years ago
13

50+ POINTS I NEED HELP

Mathematics
1 answer:
pashok25 [27]4 years ago
3 0

Answer:

21 yards

Step-by-step explanation:

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

5 0
3 years ago
Round 1.595 to 2 decimal places
Karo-lina-s [1.5K]
1.595 to 2 decimal points is 1.60 because the second decimal place is nearest to 10.
3 0
3 years ago
What is the equation of the line that passes through the point (-4,2) and has a slope of 1/4
zubka84 [21]

Step-by-step explanation:

Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

y-2 = 1/4*(x-(-4))

y-2 = 1/4 * (x+4)

4*(y-2) = x+4

Equation of the line is,

x-4y = -12

8 0
2 years ago
Geometry help. If x is the image of U under a dilation centered at P, what is the scale factor.
kupik [55]
A dilation pushes all points outwards, a factor of 2 would double the distance (in this case the point V)
every further step is then also an increase of the factor so
1->U (nothing changes)
2->V
3->W
4->X

so the correct answer is 4
4 0
3 years ago
What does 30% of 50 in unit rate and precentages
SpyIntel [72]

Answer:

15

Step-by-step explanation:


5 0
3 years ago
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