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3 years ago

A pulley rotates through 107° in one minute. How many rotations does the pulley make in an hour!

Mathematics

2 answers:

nydimaria [60]3 years ago

6 0

Answer:

25 rotations

Step-by-step explanation:

To find the number of degrees it rotates in an hour, multiply 107 by 60 (since there are 60 hours in a minute). This gets us 6420. As we know, 360 degrees makes a full rotation, so we need to divide 6420 by 60. This gets us 24.6923076923. We need to round this to the nearest whole number. Since the first decimal number is a 6, we round up to 25. That means it makes about 25 rotations in an hour.

Akimi4 [234]3 years ago

3 0

Answer:

18 rotations.

Step-by-step explanation:

As there are 360 degrees in a circle, by proportion, the time for 1 rotation

= (360/107) * 1

= 3.364 minutes.

So the number of rotations in 1 hour (60 minutes)

= 60 / 3.364

= 17.83

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Zina [86]

Answer:

yes it is.

x = 4 and y = -3

Step-by-step explanation:

Solve simultaneously using elimination method:

equation 1 - equation 2

3x + y = 9 equation 1

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3 years ago

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astraxan [27]

Answer:

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Step-by-step explanation:

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SVETLANKA909090 [29]

1.a sphere with a radius of three units

By definition, the volume of a sphere is:
$V = ( \frac{4}{3} ) (\pi) (r ^ 3)
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Substituting values we have:
$V=(\frac{4}{3})(\pi)(3^3)$
Rewriting we have:
$V = (4) (\pi) (3 ^ 2)

V = (4) (\pi) (9)

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2.a cone with a diameter of twelve units and a height of three units

By definition, the volume of a cone is given by:
$V = \frac{1}{3} (\pi) (r ^ 2) (h)
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Substituting values we have:
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3 years ago

What equation results from completing the square and then factoring? X^2+22x=31

Yakvenalex [24]

Answer:

Step-by-step explanation:

Rewrite X^2+22x=31, leaving space after the "22x:"

X^2+22x = 31

The coefficient of x is 22. Take half of that, obtaining 11.

Square this result: 11^2 = 121.

Write in "+121 -121" after the x term:

X^2+22x + 121 - 121 = 31

Rewrite X^2+22x + 121 as

(x + 11)^2 -121 = 31

Add 121 to both sides:

(x + 11)^2 = 152

Take the square root of both sides:

x + 11 = ±√152 = ±2√38

Finally, x = -11 ±2√38.

This is "solution by completing the square"

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3 years ago

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Romashka [77]

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3 years ago

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