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
Mazyrski [523]
1 year ago
12

Gold has a density of 19. 3 g/cm^3 and can be rolled into very thin sheets. If a 285 mg sample of gold is rolled into a "circle"

of radius 0. 78 cm. Find the thickness of the "circle," in microns.
Mathematics
1 answer:
Neporo4naja [7]1 year ago
6 0

The thickness of the given circle made of the sample gold is 77.4 microns.

We know, the density of a material is the ratio of the mass of the material to the volume of the material.

Density = mass/volume

Therefore, volume = mass/density

Here, the density of the gold = 19.3 gm/cm³

Mass of the gold is = 285 mg = 0.285 gm

Therefore, the volume of the given gold is

= mass/density

= 0.285/19.3 cm³

= 0.0148 cm³

The circular sheet of gold has a radius of 0.78 cm.

Therefore, the area of the circular sheet is

= πr² cm²

= π(0.78)² cm²

= 1.911 cm²

Therefore, the thickness of the circular sheet is

= volume of the sheet/ area of the sheet

= 0.0148 cm³/ 1.911 cm²

= 7.74 × 10⁻³ cm

= 7.74 × 10⁻⁵ m

= 77.4 × 10⁻⁶ m

= 77.4 microns

Learn more about the volume of a material here: brainly.com/question/9214759

#SPJ4

You might be interested in
Solve y=.80x+100 based on bread machine costs 100. Ingredients for one loaf is .80 and what is the cost to make 50 loaves of bre
Ugo [173]
Substitute 50 loaves into the given equation

y= cost to make 50 loaves

y= 0.80x + 100
y= 0.80(50) + 100
multiply first, then add
y= 40 + 100
y= $140 cost to make 50 loaves

Hope this helps!
6 0
3 years ago
Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 ​ start fraction, 7, divided by, 12, end fraction of an
Harrizon [31]

Total number of hours she schduled to play the game = 3\frac{3}{4} hours.

Let us convert mixed fraction into improper fraction

3\frac{3}{4} = \frac{3*3+4}{4} = \frac{13}{4} \ hours.

Duration of each round = \frac{7}{12}.

In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.

\frac{13}{4} ÷ \frac{7}{12}

Converting division sign into multiplication flips the second fraction.

=\frac{13}{4} \times \frac{12}{7}

Crossing out 12 by 4, we get 3 on the top of second fraction.

=\frac{13}{1} \times \frac{3}{7}

=\frac{39}{7}  = 5.57...( Approximately).

Because problem is about number of rounds.

So, total number of round would be 5.

5 0
3 years ago
Read 2 more answers
The graph of a piecewise defined function is given. evaluate f(-2), f(0), f(1)
vfiekz [6]

Answer:

D

Step-by-step explanation:

because when x = -2 on the graph the y is -2 (-2,-2)

when the x values is 0 the y value is 1 (0,1)

and when x is 1 the y value is 2. (1,2)

hope this helps. have a good day

5 0
3 years ago
Find the absolute value of each number
Ainat [17]
There is no picture but ok
6 0
2 years ago
Read 2 more answers
How do I write 3x-1<_8 on a number line
Usimov [2.4K]
Solid circle over 3 line going left 
8 0
3 years ago
Other questions:
  • Kim drives 378 miles and uses 18 gallons of gasoline. At that rate, how many miles can she go on 24 gallons of gas?
    15·2 answers
  • I need help with this
    14·1 answer
  • I dont understand how to find cot, sec, and csc
    15·1 answer
  • What is the relationship between sides and angles for each type of triangle? a) isosceles b) equilateral
    6·2 answers
  • Gary wants to make a model that shows sunspots. What method woulGary wants to make a model that shows sunspots. What method woul
    15·1 answer
  • What is the difference in the rule of reflection for a point reflected across y=x and a point reflected across y=-x
    10·1 answer
  • What is 20 divided by 2​
    11·1 answer
  • What’s common denominators for 2/5 and 3/5
    6·1 answer
  • Pls hurry I need it
    6·2 answers
  • A recipe calls for 1/3 cup of sugar for 1 batch. How many batches can be made with 2 cups of sugar?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!