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
nirvana33 [79]
3 years ago
5

webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

reases when the diameter is 10 cm.
Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

The answer is \frac{3}{10\pi }  cm/min

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi  D^{2}

Differentiating wrt r we have:

\frac{dA}{dD} =2\pi D

We are told that \frac{dA}{dt}= -6 and we want to find \frac{dD}{dt}

By the chain rule we have:

\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }

∴2\pi D=-\frac{6}{\frac{dD}{dt} }

∴\frac{dD}{dt}=-\frac{6}{2\pi D}

When D=10 then

\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }

The sign (-) shows that the D is decreasing.

You might be interested in
Kaitlin, Hans, Eric went a total of 98 Text messages during the weekend. Kaitlin 68 more messages than Hans, Eric sent three tim
Phantasy [73]

Answer:

Hans:6

Eric:18

Kaitlin:74

Step-by-step explanation:

first create an equation using the information in the question

5h+68=98

first subtract  68

5h+68=98

    -68  -68

5h=30

divide by 5

Hans:6

multiply by 3

Eric:18

68+6=74

Kaitlin:74

Hope this helps! Plz award Brainliest : )

4 0
2 years ago
Read 2 more answers
What does it mean to evaluate an expression in 5th grade
MrRa [10]

Answer:

Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.

Does that make sense?

Step-by-step explanation:

3 0
3 years ago
Please help me with # 3
sladkih [1.3K]

Answer:

The exterior angles need to equal 360 degrees.

You have 70 + 65 + 75 = 210

So 2x + 3x need to equal 360 - 210 = 150

5x = 150

x = 150 /5 = 30

2x = 2 *30 = 60

3x = x *30 = 90

An interior angle and an exterior angle need to equal 180 degrees.

The largest interior angle would need to correspond with the smallest exterior angle.

The smallest exterior angle is 2x which equals 60 degrees.

The largest interior angle would be 180 - 60 = 120 degrees.

4 0
3 years ago
In 12 hours, the temperature fell steadily from 17degrees to -7degrees f. what was the average change in temperature per hour?
Zarrin [17]
If the temperature changed from 17 degree F to -7 , the change was
17+7=24 degrees F
the average change was 24/12=2 , 2 degrees per hour 
<span />
7 0
3 years ago
The question is below
irina1246 [14]

Answer:

star

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • the coffee pub has cans of coffee that weight 3 1/4 pounds each. the pub has 8 1/2 cans of coffee left. What is the total weight
    15·1 answer
  • Find the endpoint of the line segment with the given endpoint and midpoint.
    15·1 answer
  • Prove that the (n+1) term of a G.P of which the first term is a and third term is b,is equal to the (2n+1) term of a G.P of whic
    13·1 answer
  • What is the product?<br>(-3s+2t)(4a-t)​
    8·1 answer
  • Write as a decimal plzzzzzz thanks
    7·1 answer
  • A contractor built a basement for a new home. The volume of the rectangular basement shown at the right is represented by the ex
    5·2 answers
  • Im such a potato UwU ^-^
    6·1 answer
  • Find the circumference Use 3.14 for TT 7 cm​
    9·1 answer
  • Simplify the expression: -6x^2(3x^5)
    9·1 answer
  • Please help!! <br> Determine the five-number summary for the data set. 20, 26, 18, 31, 22, 28, 30
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!