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2 years ago

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

Mathematics

1 answer:

Dima020 [189]2 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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netineya [11]

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2 years ago

Read 2 more answers

.Bryan was given the equation y= -5x+3. He says the rate of change is 3 and the initial value is -5. Is Bryan correct? If not, c

Mekhanik [1.2K]

Answer:

Correct rate of change is -5; correct initial value is 3.

Step-by-step explanation:

The rate of change is the coefficient of the x term, which here is -5. So Bryan has the rate of change wrong.

The initial value of the function is found by letting x = 0. Here, we get

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2 years ago

Which of the following infinite series has a finite sum? Explain your reasoning.

ikadub [295]

Answer:

d. 20+10+5+2.5+...

Step-by-step explanation:

No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.

Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)

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3 years ago

Could you show it step by step please and thank you

m_a_m_a [10]

1.To find the triangle area is base x height : 4.33 x 5=21.65
Perimeter : 5+5+5=15

2. 6•3=18+(3•2)=18+6=24=area
16=perimeter

3. Not sure

4. 12•17=204=area
Perimeter : 13+17+17=47

Hoped I helped!

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3 years ago

- 7 x - 4 y = - 12 <br> - 3 x + y = - 16

LenaWriter [7]

The answer is x=4 and y=-4

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3 years ago