A steam engine for pulling trains has wheels of diameter 1.5 metres.

Mathematics

1 answer:

Dima020 [189]3 years ago

3 0

Answer:

The wheel completed a total of 212 turns.

Step-by-step explanation:

A wheel has a circular form, therefore its length is given by the following formula:

$length = 2*\pi*radius$

Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:

$length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124$

Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:

$turns = \frac{1000}{4.7124} = 212.21$

The wheel completed a total of 212 turns.

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Three of exterior angle of n-sided polygon are 50° each two of it's interior angle are 127° and 135° and the remaining interior

irga5000 [103]

Answer:

The value of n is 21.

Step-by-step explanation:

We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.

As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).

And, the exterior angle = 180° - the interior angle.

So, according to the question;

$(3 \times 50) + (180-127) + (180 - 135) + (n - 5)\times (180-173) =360$