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
Larry is thinking of a number that is between 0 and 300. What is the correct model for this situation?
dsp73
The first option is correct
3 0
3 years ago
Read 2 more answers
4. On a beach trip, Lucy rents a bike from "Wheels by the Waves", where
Dimas [21]

Answer:

6 hours

Step-by-step explanation:

The equation for this would be

c=3h+12

It costs $3 per hour, and there is a $12 cost no matter how many hours the bike is rented for

We know,c, or the cost is $30, so we can substitute that in

30=3h+12

Solve, by isolating the variable,h

First, subtract 12 on both sides

30=3h+12

18=3h

Divide by 3 on both sides

h=6

So, she rented the bike for 6 hours

7 0
3 years ago
Can you turn this sentence into an equation please? Three times twenty one more than a number is twelve. What is that number?
Zanzabum
X + 3 * 21 = 12
x + 63 = 12
x = 12-63
x = -51
The wording was a little odd, but I hope this is what you’re looking for!
3 0
3 years ago
Read 2 more answers
Which answer is an equation in point-slope form for the given point and slope?
Naddika [18.5K]

Answer:

B (y-9)=5(x-1)

Step-by-step explanation:

Formula of straight line in Point slope form

(y-y_1)=m(x-x_1)

Here

m=5 \ and \ (x_1, y_1)=(1, 9)

therefore equation of line having slope 5 and passing through point )1, 9) is given as

(y-9)=5(x-1)

7 0
3 years ago
Read 2 more answers
A sequence is shown below. 4, 8, 16, 32, . . . Which formula can be used to determine the nth term in the sequence? Use the form
zvonat [6]

Answer:

a8 = 512.

Step-by-step explanation:

This is geometric sequence with common ratio r = 2 and first term a1 = 4.

nth term = a1 r^(n-1)

So a8 = 4 2(^8-1)

= 4 * 2^7

= 4*128 = 512.

7 0
3 years ago
Other questions:
  • The graph if a function is always a straight line true or false
    5·1 answer
  • Ja’ron collected data about the number of students participating in different types of after-school programs. The chart displays
    5·1 answer
  • Write an equation in slope-intercept form for the line with slope 1/4 and -intercept -1<br> .
    14·2 answers
  • What is <br> 2x-3y=-19<br> 4x+3y=7<br> URGENT
    13·1 answer
  • Write 6.38612 correct to 2 decimal places.​
    14·1 answer
  • Question 1 (1 point) How many terms are in the polynomial? 3x3 + 4x2 - 8x - 5 3 4 7 ​
    15·1 answer
  • Find the slope of the line through the pair of points.<br> (1,15) and (-3,-6)
    10·1 answer
  • 6th grade math help me plzzzz
    11·1 answer
  • To test the effect of day care on academic performance in young children, a researcher plans to use two groups of 5-year-olds fr
    11·1 answer
  • Simplify the expression below 12 divided by (2+1)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!