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2 years ago

A wheel with a radius of 7 inches is rotating at 4 revolutions per second. What is the linear speed v, in feet per second

Mathematics

1 answer:

Ymorist [56]2 years ago

5 0

Answer:

Linear speed= V= 175.84 m/s

Step-by-step explanation:

A wheel with a radius of 7 inches is rotating at 4 revolutions per second.

Linear speed v = rw

r= radius

r= 7 inches

w= angular speed

W= 4rev/s

But one rev= 2π

W= 4*(2π)/s

W= 8π/s

V= rw

V=7*8*3.14

V= 175.84 m/s

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Juan builds a square dog pen that has an area of 100 square feet. He then builds a second pen that has an area of 49 square feet

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3 years ago

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A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from

Kryger [21]

Answer:

The expression would give the probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)$

Step-by-step explanation:

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. So in total there are 25 marbles.

Hence,

Probability of getting yellow ball = $P(Y)=\dfrac{8}{25}$

Probability of getting red ball = $P(R)=\dfrac{5}{25}$

Probability that one marble is yellow and the other marble is red is,

$P(Y\cdot R\ And\ R\cdot Y)=P(Y)P(R)+P(R)P(Y)=\dfrac{8}{25}\cdot \dfrac{5}{25}+\dfrac{5}{25}\cdot \dfrac{8}{25}=0.128$

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2 years ago

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Determine the length of GH. Round to the nearest tenth. 3.9 cm G 52 642 H

sesenic [268]

Answer:

|GH| = 5,7 cm

Step-by-step explanation:

To know |GH|, you first need to find the length of |GD|.

We can calculate |GD| by;

cosG = |GC| / |GD|

<=> |GD| = |GC| / cosG

=> |GD| = 3,9 cm/ 0,62 = 6,33 cm

We now can easily calculate |GH| with the sinus of angle D;

sinD = |GH| / |GD|

<=> |GH| = sinD.|GD|

=> |GH| = 0,899.6,33 cm = 5,694 cm => 5,7 cm

I hope i did not make a mistake ...

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2 years ago