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
JulsSmile [24]
3 years ago
10

the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas

ing when the area is 81cm²​
Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

A=x^2 ....(1)

Where

x is the side of a square

\dfrac{dA}{dt}=12\ cm^2/s

Differentiating equation (1) wrt t.

\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}

When A = 81cm²​, the side of the square, x = 9 cm

Put all the values,

12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

You might be interested in
The formula V = IR shows the relationship between voltage, current, and resistance. Solve this formula for R.
Tema [17]
Simply view this formula as an equation and solve for R
This would look like:
V=IR
V/I=R/I
V/I=R
ANSWER
R=v divided by I
5 0
3 years ago
Help please it would help my grade alot
Alexxandr [17]

Answer:

It cooled 58.4 degrees

Step-by-step explanation:

T(t) = 68 + 144e ^(-.052t)

We want to find the value when t= 10

T(10) = 68 + 144e ^(-.052*10)

        = 68 +85.611

 T(10)         =153.611

We also need to know

T(0)= 68 + 144e ^(-.052*0)

       =68+144

        =212

We want to know how much it cools

That would be the temperature at  time 0 minus the temperature at  time 10


T(0) - T (10)

212-153.611

58.389

To the nearest tenth

58.4 degrees

3 0
3 years ago
Find the X intercept and the Y intercept from the following linear equation X+ 4y = -56
stealth61 [152]

Answer:

x-intercept = -56

y-intercept = - 14

Step-by-step explanation:

x + 4y = -56

x- intercept :

y = 0

x + 4*0 = - 56

x-intercept = -56

y-intercept:

x=0

0 + 4y = - 56

4y = -56

y = - 14

y-intercept = - 14

4 0
3 years ago
The function c=2.50(n-2)+1.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
Yuri [45]
Please put the selections. I can't tell you what isn't true if you don't.
6 0
3 years ago
Please help will mark brainliest!
dmitriy555 [2]

2x - 3y = - 2

3x - 2y = 12

the value of X in the solution to the system is 4.

6 0
3 years ago
Read 2 more answers
Other questions:
  • I don’t understand this!!
    12·1 answer
  • "Part A: Solve −np − 70 < 40 for n. Show your work."
    7·1 answer
  • find the line of best fit for the following data. (−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7),
    6·1 answer
  • What is fifteen plus B
    10·1 answer
  • Which is greater 5/6 or 83%
    11·1 answer
  • Is this table proportional or non-proportional <br> X 8,16,24,32 <br> Y 2,4,6,8
    8·1 answer
  • What is the value of x? 7x = 36 - 2x
    10·2 answers
  • Solve
    8·2 answers
  • 100 points! Mhanifa please help! Look at the picture attached. I will mark brainliest. Random answers will be reported guys.
    8·2 answers
  • Write an equation of the graph (shown below) in slope intercept form.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!