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
777dan777 [17]
2 years ago
5

The area of a circle is 16π cm2. What is the circle's circumference?

Mathematics
1 answer:
agasfer [191]2 years ago
4 0

Answer:

C = 8 pi cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

16 pi = pi r^2

Divide each side by pi

16 = r^2

Taking the square root

4 = r

The circumference is

C = 2 * pi *r

C = 2* pi *(4)

C = 8 pi cm

You might be interested in
The formula for estimating the number, N, of a certain product sold is N = 8800ln(7t + 9), where t is the number of years after
arsen [322]
To determine or predict the expected number of sales after 2 years, we substitute 2 to the t of the givne equation.
                           N = (8800)xln(7(2) + 9)
                                N = 27,592.34
Thus, it is expected that the number of sales after 2 years is 27,592 units. 
6 0
3 years ago
The cost of renting a sailboat at a lake is $60 per hour plus $14 for lifejackets. Write an equation in slope-intercept form tha
Blizzard [7]

Answer:

y=60x+14

Step-by-step explanation:

60 is the slope that is going UP at a certain rate and then ur adding 14

7 0
2 years ago
Read 2 more answers
527 round to the nearest tenth
andreyandreev [35.5K]

Answer:

530

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
3. Which graph indicates that one of the runners started 10 meters ahead of the other?
KATRIN_1 [288]

Answer:

graph A

Step-by-step explanation:

4 0
2 years ago
The length l, width w, and height h of a box change with time. At a certain instant the dimensions are l = 3 m and w = h = 6 m,
Gemiola [76]

Answer:

a) The rate of change associated with the volume of the box is 54 cubic meters per second, b) The rate of change associated with the surface area of the box is 18 square meters per second, c) The rate of change of the length of the diagonal is -1 meters per second.

Step-by-step explanation:

a) Given that box is a parallelepiped, the volume of the parallelepiped, measured in cubic meters, is represented by this formula:

V = w \cdot h \cdot l

Where:

w - Width, measured in meters.

h - Height, measured in meters.

l - Length, measured in meters.

The rate of change in the volume of the box, measured in cubic meters per second, is deducted by deriving the volume function in terms of time:

\dot V = h\cdot l \cdot \dot w + w\cdot l \cdot \dot h + w\cdot h \cdot \dot l

Where \dot w, \dot h and \dot l are the rates of change related to the width, height and length, measured in meters per second.

Given that w = 6\,m, h = 6\,m, l = 3\,m, \dot w =3\,\frac{m}{s}, \dot h = -6\,\frac{m}{s} and \dot l = 3\,\frac{m}{s}, the rate of change in the volume of the box is:

\dot V = (6\,m)\cdot (3\,m)\cdot \left(3\,\frac{m}{s} \right)+(6\,m)\cdot (3\,m)\cdot \left(-6\,\frac{m}{s} \right)+(6\,m)\cdot (6\,m)\cdot \left(3\,\frac{m}{s}\right)

\dot V = 54\,\frac{m^{3}}{s}

The rate of change associated with the volume of the box is 54 cubic meters per second.

b) The surface area of the parallelepiped, measured in square meters, is represented by this model:

A_{s} = 2\cdot (w\cdot l + l\cdot h + w\cdot h)

The rate of change in the surface area of the box, measured in square meters per second, is deducted by deriving the surface area function in terms of time:

\dot A_{s} = 2\cdot (l+h)\cdot \dot w + 2\cdot (w+h)\cdot \dot l + 2\cdot (w+l)\cdot \dot h

Given that w = 6\,m, h = 6\,m, l = 3\,m, \dot w =3\,\frac{m}{s}, \dot h = -6\,\frac{m}{s} and \dot l = 3\,\frac{m}{s}, the rate of change in the surface area of the box is:

\dot A_{s} = 2\cdot (6\,m + 3\,m)\cdot \left(3\,\frac{m}{s} \right) + 2\cdot (6\,m+6\,m)\cdot \left(3\,\frac{m}{s} \right) + 2\cdot (6\,m + 3\,m)\cdot \left(-6\,\frac{m}{s} \right)

\dot A_{s} = 18\,\frac{m^{2}}{s}

The rate of change associated with the surface area of the box is 18 square meters per second.

c) The length of the diagonal, measured in meters, is represented by the following Pythagorean identity:

r^{2} = w^{2}+h^{2}+l^{2}

The rate of change in the surface area of the box, measured in square meters per second, is deducted by deriving the surface area function in terms of time before simplification:

2\cdot r \cdot \dot r = 2\cdot w \cdot \dot w + 2\cdot h \cdot \dot h + 2\cdot l \cdot \dot l

r\cdot \dot r = w\cdot \dot w + h\cdot \dot h + l\cdot \dot l

\dot r = \frac{w\cdot \dot w + h \cdot \dot h + l \cdot \dot l}{\sqrt{w^{2}+h^{2}+l^{2}}}

Given that w = 6\,m, h = 6\,m, l = 3\,m, \dot w =3\,\frac{m}{s}, \dot h = -6\,\frac{m}{s} and \dot l = 3\,\frac{m}{s}, the rate of change in the length of the diagonal of the box is:

\dot r = \frac{(6\,m)\cdot \left(3\,\frac{m}{s} \right)+(6\,m)\cdot \left(-6\,\frac{m}{s} \right)+(3\,m)\cdot \left(3\,\frac{m}{s} \right)}{\sqrt{(6\,m)^{2}+(6\,m)^{2}+(3\,m)^{2}}}

\dot r = -1\,\frac{m}{s}

The rate of change of the length of the diagonal is -1 meters per second.

6 0
3 years ago
Other questions:
  • An airplane started at point K, travelled 560 miles to point L, adjusted its route and travelled another 575 miles to point M. I
    6·1 answer
  • A blueprint for a house states that a 6 inch line represents 11 feet on the actual home. If the house is to be a
    7·1 answer
  • Equations - Item 2829
    13·1 answer
  • Parallel to the line y= -2x + 4 and passes through point A(2, 4)
    11·2 answers
  • Please help with this
    10·1 answer
  • What is eight increased by five? a. 12 b. 13 c. 14 d. 15
    7·1 answer
  • What is the slope of this line?
    10·1 answer
  • in a fundraising committee of 90 people the ratio of men to women is 7:2. find the number of women required to join the existing
    13·1 answer
  • I need help plz!!?!???!?
    10·1 answer
  • The temperature fell 4 degrees in the last hour. Now it is 21 degrees. Write an equation to find the temperature it was 1 hour a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!