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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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How do you do distributive property to write equivalent expression for the perimeter of a triangle
Karolina [17]

Answer:

Look down

Step-by-step explanation:

So, to use distributive property you have to multiply the out side to the inside.

3(9-4)=15-8

Multiply 3and nine then 4.

3+27-12=15-8

I hope this helped you

6 0
3 years ago
Simplify 12p-3q +8q - 7p
IgorLugansk [536]

Answer:

5p+5q

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
3 years ago
Which value for x makes the sentence true?
Minchanka [31]

Answer:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆

Hi! The answer to your question is 31

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

4 0
3 years ago
A machine is used to fill bags with sand. the average weight of a bag filled with sand is 22.3 pounds. Write an absolute value f
frutty [35]

Answer:

y=f(x)=|x-22.3|

Step-by-step explanation:

Let the weight of the bag of sand with an unknown weight be given as "x" pounds. Then, the difference between the weight of an average bag of sand which is given to be as 22.3 pounds,  is given as x-22.3. Therefore, the absolute value function describing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight will be given as: |x-22.3|.

Let us represent this by f(x) or y. And thus, we get:

y=f(x)=|x-22.3|

5 0
4 years ago
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