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
ivanzaharov [21]
3 years ago
9

The area of a circle is increasing at the rate of pi cm^(2)/min. At what rate is the radius increasing when the area is 4pi cm^(

2)?
Mathematics
1 answer:
Vikentia [17]3 years ago
3 0
This problem deals the rate of change.
For the formula of the area of a circle, we differentiate both sides with respect to time t.
(A = πr^2) d/dt
dA/dt = 2πr (dr/dt)

Since we don't know yet the radius r, the area of a circle is given.
A = πr^2
r^2 = A/π = 4π/π
r^2 = 4
r = 2 cm

Therefore, the rate of the radius is
dA/dt = 2πr (dr/dt)
dr/dt = (dA/dt)/(2πr)
dr/dt = π/(2π*2)
dr/dt = 0.25 cm/min

Hope this helps.
You might be interested in
Help fast please
Lady_Fox [76]

Answer:

Acute and Obtuse..I cant see any right

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
12 divided by 4y+6 = 2/7
Mila [183]

Answer:

The correct answer is y = 9

Step-by-step explanation:

It is given that,

12/(4y + 6) = 2/7

<u>To find the value of y</u>

12/(4y + 6) = 2/7

By cross multiplying,

12 * 7 = 2  * (4y + 6 )

84 = 8y + 12

8y + 12 = 84

8y = 84 - 12

8y = 72

y = 72/8 = 9

y = 9

Therefore by solving the given expression we get the value of y = 9

3 0
3 years ago
Read 2 more answers
What is -3/2x |x-22| +33
bogdanovich [222]

Answer:

Find the domain by finding where the expression is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,0)∪(0,∞),{x|x≠0}(-∞,0)∪(0,∞),{x|x≠0}

Range: ,{x|}

6 0
3 years ago
To convert meters per minute to kilometers per hour, which of the conversion facorts would be used?
madam [21]

Divide by 1000 to convert to kilometers per minute

Then multiply by 60 to convert to kilometers per hour.

Conversion factor is 60/1000  = 0.06  answer

4 0
3 years ago
What is the equation of the line that passes through the point (-5, 4) and has a
Scilla [17]

Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

5 0
2 years ago
Other questions:
  • a sign says that the price marked on all music equipment is 30% off the original price you buy an electric guitar for sale price
    5·1 answer
  • What does the ratio 4:18 represent in this situation? Explain your reasoning,
    10·1 answer
  • -7(-3x + 2)
    13·2 answers
  • What is the slope-intercept form of the equation of the line that passes through the points (9,5) and (4,1)
    11·1 answer
  • Zoé is working two summer making $7 per hour babysitting and making $15 per hour clearing tables. In given week, She can make a
    12·2 answers
  • What is the factorization of the trinomial below 4x2+28x+48
    5·2 answers
  • Help me with this pls
    11·1 answer
  • In hong kong a block of flats has 37 floors.There are 16 flats on each floor and 4 people live in each flat. The number of peopl
    12·1 answer
  • a boy has 90 coins that are all dimes and quarters. if he has $14.55, how many quarters does he have?
    13·1 answer
  • A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is located 120 meters f
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!