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horrorfan [7]
3 years ago
15

2 - 3 (2x - 5) = 6x + 1

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0
2 - 3 (2x - 5) = 6x + 1
2 -6x +15 = 6x +1  distribute the -3 to (2x -5)
-6x + 17 = 6x + 1  add 2 + 15
16 = 12x add the -6x to the positive 6x and subtract the 1 from 17
1 1/3 = x divide 16/12
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you are riding a bicycle which has tires with a 25-inch diameter at a steady 15-miles per hour, what is the angular velocity of
motikmotik

Answer:

The angular velocity is 6.72 π radians per second

Step-by-step explanation:

The formula of the angular velocity is ω = \frac{v}{r} , where v is the linear velocity and r is the radius of the circle

The unit of the angular velocity is radians per second

∵ The diameter of the tire is 25 inches

∵ The linear velocity is 15 miles per hour

- We must change the mile to inch and the hour to seconds

∵ 1 mile = 63360 inches

∵ 1 hour = 3600 second

∴ 15 miles/hour = 15 ×  \frac{63360}{3600}

∴ 15 miles/hour = 264 inches per second

Now let us find the angular velocity

∵ ω = \frac{v}{r}

∵ v = 264 in./sec.

∵ d = 25 in.

- The radius is one-half the diameter

∴ r = \frac{1}{2} × 25 = 12.5 in.

- Substitute the values of v and r in the formula above to find ω

∴ ω = \frac{264}{12.5}

∴ ω =  21.12 rad./sec.

- Divide it by π to give the answer in terms of π

∴ ω = 6.72 π radians per second

The angular velocity is 6.72 π radians per second

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lyudmila [28]

Step-by-step explanation:

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guajiro [1.7K]
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Answer:

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Step-by-step explanation:

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YZ = 12 + 20 = 32 cm, hence H)

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