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FrozenT [24]
3 years ago
8

A wheel turns through 200 revolutions per minute. How fast does it turn in radians per second?

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

In one second it turns 200 / 60 = 3 1/3 revolutions. Since one revolution is 360°, the answer is 6 2/3 π radians.

Vera_Pavlovna [14]3 years ago
5 0

Answer: 20.94 rad/sec

Step-by-step explanation:

200 rpm means 200 revolutions per min.

1 min = 60 sec

1 rev = 2pi

200 rev/min * (1min/60sec) *(2pi/1rev)

= 20.94 rad/sec

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The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec
miskamm [114]

The correct option will be :  B) 6 cm.

<u><em>Explanation</em></u>

Suppose, the width of the rectangle is x cm.

As, the length is 6 cm longer than the width, so the length will be: (x+6) cm.

<u>Formula for the Area of rectangle</u> is: (Length)*(Width)

Given that, the area of a rectangle is 72 cm²

So....

x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0

Using zero-product property, we will get...

x+12=0\\ x= -12 <em>(Negative value is ignored as width can't be negative)</em>

and

x-6=0\\ x=6

So, the width of the rectangle is 6 cm.

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Answer:

the anwser is H

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