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Masja [62]
3 years ago
14

On MOnday the escalator was not working. It took Tom 18 seconds to reach the top, climbing two steps each second. By Tuesday the

escalator had been repaired and Tom took only 12 seconds to reach the top climbing at the same rate. On Wednesday Tom decided to ride the escalator without climbing at all. How long did it take to reach the top this time?
Mathematics
1 answer:
Annette [7]3 years ago
3 0
*There are 36 steps on the elevator as it took Tom 18 seconds to reach the top of the elevator (when it wasn't working), taking 2 steps per second.(2*18=36).

*When the elevator was fixed Tom moved through it taking 2 steps per second and managed to reach its top in 12 seconds. This means that he had covered 3 steps in the space of a second while he was moving up the elevator (fixed). (36/12=3).

<em>*Knowing this information, we can come to terms with the fact that the elevator can move Tom 1 step upwards per second if he doesn't make any effort to move up the elevator while its working. As there are 36 steps on the elevator, on Wednesday it took Tom 36 seconds to reach its top.</em>
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Answer:

Abel to Ben: 6

Abel to Carl: 3

Ben to Carl: 0.5

Step-by-step explanation:

First we formulate the problem in equations:

Abel = 6 * Ben

Cale = Abel / 3

If Cale's score is Abel's score over 3, so Abel's score is 3 times Cale's score.

If Abel's score is 6 times Ben's score, and 3 times Cale's score, then Cale's score is 2 times Ben's score (so Ben's score is 0.5 times Cale's score)

So, the ratio between all scores are the following:

Abel to Ben: 6

Abel to Carl: 3

Ben to Carl: 0.5

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Step-by-step explanation:

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The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

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