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shutvik [7]
3 years ago
7

Find the midpoint of the segment with the given endpoints. (2, -6) and (9,2)

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

(5.5,-2)

Step-by-step explanation:

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4 years ago
The radius of the wheel on a bike is 21 inches. If the wheel is revolving at 154 revolutions per minute, what is the linear spee
Bezzdna [24]

Answer:

The linear speed of the bike is 19.242 miles per hour.

Step-by-step explanation:

If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (v_{B}), measured in inches per second, is:

v_{B} = R\cdot \omega

Where:

R - Radius, measured in inches.

\omega - Angular speed, measured in radians per second.

Now, the angular speed must be converted from revolutions per minute into radians per second:

\omega = \left(154\,\frac{rev}{min} \right)\cdot \left(2\pi\,\frac{rad}{rev} \right)\cdot \left(\frac{1}{60}\,\frac{min}{s}  \right)

\omega \approx 16.127\,\frac{rad}{s}

The speed of the bike is: (R = 21\,in and \omega \approx 16.127\,\frac{rad}{s})

v_{B} = (21\,in)\cdot \left(16.127\,\frac{rad}{s} \right)

v_{B} = 338.667\,\frac{in}{s}

Lastly, the outcome is converted into miles per hour:

v_{B} = (338.667\,\frac{in}{s} )\cdot \left(3600\,\frac{s}{h} \right)\cdot \left(\frac{1}{63360}\,\frac{mi}{in}  \right)

v_{B} = 19.242\,\frac{mi}{h}

The linear speed of the bike is 19.242 miles per hour.

5 0
4 years ago
The soccer league has a total of 272 players on 16 teams.
Dafna1 [17]

Answer:

17 i think

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mark took 30 minutes to finish lunch describe the turn the minute hand made
andre [41]
The hand went around 7 numbers.
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3 years ago
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Dan spend half of his allowance going to the movies.He washed the family car and earned eight dollars.What is his weekly allowan
Karolina [17]

Answer:

8 dollars

Step-by-step explanation:

if "x" is his weekly allowance:

x-0.5x+8=12

Dan make x dollars, then he spend 0.5x dollars and he earned 8 dollars, and that is 12 dollars.

0.5x=12-8

x=8 dollars

4 0
3 years ago
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