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alina1380 [7]
3 years ago
8

A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

  • 8π radians/second
  • 527.8 meters

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

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If a b and c are three different numbers which of the following equations has infinitely many solutions
Dafna1 [17]

Answer:

c. ax+b=ax+b

Step-by-step explanation:

To know what equation has infinite solutions, you first try to simplify the equations:

a.

ax=bx+c\\\\(a-b)x=c\\\\x=\frac{c}{a-b}

In this case you have that a must be different of b, but there is no restriction to the value of c, then c can be equal to a or b.

b.

ax+b=ax+c\\\\b=c

Here you obtain that b = c. But the statement of the question says that a, b and c are three different numbers.

c.

ax+b=ax+b\\\\0=0

In this case you have that whichever values of a, b and are available solutions of the equation. Furthermore, when you obtain 0=0, there are infinite solutions to the equation.

Then, the answer is:

c. ax+b=ax+b

8 0
3 years ago
If BD = 8x - 27 and EC = 2x + 33, find BD.
KonstantinChe [14]
BD= 53 units
Good Luck! <3
4 0
3 years ago
Read 2 more answers
5. Your family decides to take a trip to the Philippines. You have saved up $150 for this trip and need to exchange your U.S dol
kompoz [17]

Answer:

a.  $6493.5 PHP

b.  $1740.525 TWD

c.  $14.60 US

Step-by-step explanation:

a.

$1 US = 43.26 PHP

150 US = 150(43.26) = 6493.5 PHP

b.

1 PHP = .69 TWD

2522.5 PHP = 2522.5(.69) = 1740.525 TWD

c.

1 US = 30.05 TWD

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3 0
3 years ago
An answer is needed ASAP. THANK YOU!
LiRa [457]
Hey there!

A number that is divisible by both 2 and 9 is 18. This is just 2 multiplied by 9. To make this into a 3-digit number, you can just multiply 18 by itself. This will be 324, which is divisible by 9 and 2. 

324 ÷ 2 = 162

324 ÷ 9 = 36

So, a number you could choose is 324. 

Hope this helped you out! :-)
8 0
3 years ago
Read 2 more answers
Reba got home from school at 2:55 P.M. and played video games for 1 hour and 20 minutes. Then, it took her 1 hour and 35 minutes
stiv31 [10]
THE ANSWER IS 5:50PM
2:55pm plus 20 mins equals 3:15
Add the hour now it’s 4:15
Add the 35 mins now it’s 4:50
Add the hour now it’s 5:50pm.
It was 5:50pm when Reba finished her homework.
5 0
3 years ago
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