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lana [24]
1 year ago
13

You have five gears meshed to each other running in a line. the first gear z=100, second gear z=50, third gear z=200, fourth gea

r z=150 and fifth gear z=200. the first gear turns clockwise at 100 revolutions per minute. what direction will gear number 5 run and at what speed?
Mathematics
1 answer:
Julli [10]1 year ago
6 0

Answer:

50 rpm clockwise

Step-by-step explanation:

100/50 × 50/200 × 200/150 × 150/200 = 0.5

In an odd number of gears, the first and last rotate inthe same direction.

100 rpm × 0.5 = 50 rpm

Answer: 50 rpm clockwise

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A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tr
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Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

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2 years ago
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Step-by-step explanation:

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