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irinina [24]
3 years ago
12

Abdi has two electric train sets: A and B. Each train is on its own circular track. He starts both trains at the same time. Trai

n A returns to its starting point every 12 seconds. Train B returns to its starting point every 9 seconds. If the trains continue traveling what is the least amount of time in seconds that both trains will arrive at the starting points at the same time?
Mathematics
2 answers:
Fiesta28 [93]3 years ago
4 0

Answer:

<h2>After 36 seconds.</h2>

Step-by-step explanation:

To find the answer to this problem, we have to sum each period of time for each train, and see where they use the same time. Train A will return each 12 seconds and Train B will return each 9 seconds, this means that we have to build two sequences with this increasing numbers.

A       B

12      9

24     18

36     27

48     36

As you can observe in the sequences, after 36 seconds both trains will arrive at the starting points at the same time. To reach such time equivalence, the train A has to make three laps, and train B hast to make 6 laps.

Therefore, the answer is "after 30 seconds".

mrs_skeptik [129]3 years ago
3 0

Answer: 36 seconds

Step-by-step explanation:

A: 9, 18, 27, 36

B: 12, 24, 36

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Answer:

100+44

Step-by-step explanation:

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2 years ago
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2 years ago
Ron is designing a new slide for the amusement park in town the slide makes an angle of 39 degrees with the ground.The top of th
Fynjy0 [20]

Answer:

The length of the slide he needs to make = AC = L = 14.3 ft

Step-by-step explanation:

From the Δ ABC

AC = Length of the slide = L

AB = 9 ft

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From  Δ ABC

\sin \theta = \frac{AB}{AC}

Put all the value in the above formula

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L = \frac{9}{0.629}

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3 0
3 years ago
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B - 18

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3 years ago
ZA and B are supplementary angles. If m A = (2x – 14) and m
Elena-2011 [213]

Answer:

∡ZA = 66°

Step-by-step explanation:

Suplementary angles sum 180°

ZA + ZB = 180°

then:

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