1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
love history [14]
2 years ago
10

a tight roll of paper, as delivered to the printer, is 60cm in diameter, and the paper is wound on to a wooden cylinder 8cm in d

iameter. the paper is 0.0005cm thick. What length of paper is there in the roll in km?(compare the area of the edge of the paper when rolled with that of the paper when unrolled)
Mathematics
2 answers:
Alekssandra [29.7K]2 years ago
4 0

The area of the paper is the amount of space it occupies.

The length of papers around the edge is 1607680 cm

The given parameters are:

\mathbf{d_1 = 60cm}

\mathbf{d_2 = 60cm + 8cm = 68cm}

The area of the circle head is:

\mathbf{Area = \pi \frac{d^2}{4}}

So, we have:

\mathbf{Area = \pi \frac{d_2^2 - d_1^2}{4}}

Substitute known values

\mathbf{Area = \pi \frac{68^2 - 60^2}{4}}

\mathbf{Area = \pi \frac{1024}{4}}

\mathbf{Area = 256\pi}

The length of the paper is then calculated as:

\mathbf{Length = \frac{Area}{0.0005}}

This gives

\mathbf{Length = \frac{256\pi}{0.0005}}

\mathbf{Length = \frac{256 \times 3.14}{0.0005}}

\mathbf{Length = 1607680}

Hence, the length of papers around the edge is 1607680 cm

Read more about areas at:

brainly.com/question/2264643

Simora [160]2 years ago
3 0

The length of the paper roll in kilometers is 1.04 km.

Remember that 100,000 centimeters equal 1 kilometer.

Data and Calculations:

Diameter of roll of paper with cylinder = 60 cm

Diameter of cylinder for the roll = 8 cm

Diameter of paper roll without cylinder = 52 cm (60 - 8)

Length of paper = 104,000 cm (52/0.0005)

Length of paper in km = 1.04 km (104,000/100,000)

Thus, the length of the paper in kilometers will be 1.04 km.

Learn more: brainly.com/question/24536204

You might be interested in
Evaluate the following expression:<br> 5+7(3x+y) when x=12, y=8
timofeeve [1]
First step is 5+7(36x+8y) because you have to distribute
5 0
2 years ago
Read 2 more answers
A theatre holds 1200 people when full.If it is 80% full,how many people are present
CaHeK987 [17]

0.8 times 1200 is 960, which is the number of people when the theatre is 80% full.

4 0
3 years ago
What is the solution to the equation 15=/x/ -5=
muminat

Answer:

This is absolute value equation so collect like terms and find X

15+5=|x|

20=|x|

since it's absolute value it's going to be 20 or -20

7 0
3 years ago
If the scale factor of Figure A to Figure B is<br> 7:2, find the perimeter of Figure A.
Daniel [21]

Answer:

  • I honestly don't k ow wish i can help if you can help me with one
6 0
3 years ago
Read 2 more answers
In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

B = \frac{2 \pi}{24}\\\\

   = \frac{\pi}{12}

C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

6 0
3 years ago
Other questions:
  • If sales tax in your city is 4.4 and an item cost 3$ before tax how much tax would you pay on that item?
    5·1 answer
  • Help quickly please!!
    5·1 answer
  • At what rate of interest would rs 1800 amount to rs 2500 in 2 years
    15·1 answer
  • Some friends went to lunch and split the bill equally. If each person paid $6.75, how many people went to lunch thinking. Use a
    7·2 answers
  • The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –
    5·2 answers
  • If m = 6 , and ( x , y ) = ( − 1 , − 3 ) , solve y = m x + b for b .
    7·1 answer
  • PLZ HELP QUICK!!! MARK BRAILIEST!!!
    8·1 answer
  • 2x+5=13<br><br><br> Help me out please
    6·2 answers
  • Pls help me. tyyyyyyyyyyyyyy<br>HAHA sorry for the volume thing in the way
    10·1 answer
  • The cost of having photos taken includes a sitting fee and $12 for each portrait. The cost of 3, 6, and 9 photos respectively is
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!