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
MissTica
3 years ago
9

A rock is thrown into a still pond. The circular ripple move outward from the point of impact of the rock so that the area of th

e circle formed by a ripple increases at the rate of 100 square feet per minute. Find the rate at which the radius is changing at the instant the radius is 5 feet.
Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0

Answer:

\approx 31.42 \text{   Square feet per minute}

Step-by-step explanation:

Area of the Pond A= \pi r^2

The increase in the area of the pond as it moves outward is: \frac{dA}{dt}

\frac{dA}{dt}=\frac{d}{dt}\pi r^2\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}

Since the area of the circle formed increases at the rate of 100 square feet per minute.

\frac{dA}{dt} = 100 Square feet per minute

When the radius, r = 5 feet, we want to determine the rate at which the radius is changing, \frac{dr}{dt}.

\frac{dA}{dt}= 2\pi r \frac{dr}{dt}\\100=2*5*\pi \frac{dr}{dt}\\\frac{dr}{dt} =\frac{100}{10 \pi} =10 \pi \approx 31.42 \text{  Square feet per minute}

You might be interested in
59:46
grin007 [14]

Answer:

The answer is 11.2 cm

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You decide to bake some cakes. You need 150 g of flour for 12 cakes. How much flour do you need for 30 cakes?
miss Akunina [59]
150g/12cakes
150/12 = 12.5
12.5g/cake
12.5x30 = 375
Therefore, you need 375g for 30 cakes.
3 0
3 years ago
Read 2 more answers
A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o
Len [333]

Answer:

<u>V</u><u>=</u><u>8</u><u>.</u><u>5</u>

Step-by-step explanation:

o=oil. vinegar=v. furniture polish=f

O=3v

34= 3v + v

Using a system of guessing and checking if that number fits equation you can tell that 8 causes the equation to be unequal and also 9. You can learn V must be between 8 and 9 so 8.5 might fit the equation. <u>8.5</u><u>=</u><u>V</u>

6 0
3 years ago
A rectangle has area x3 + 3x2 - 18x in.2 and width x + 6 in. What is the length in inches?​
Viefleur [7K]

Answer:

HOPE THIS HELPS

Step-by-step explanation:

The area = length * Width.

We know the width = X+6 inches and Area = x^3+3x^2–18x.

This problem can be solved just by dividing the area by width and we get a quotient as X^2–3x.

So the length is x^2–3x inches.

7 0
3 years ago
Plz help me ASAP I'll mark brainliest
romanna [79]
Answer is:
Hope this helps

3 0
3 years ago
Other questions:
  • Five notebooks cost $20 at this rate how much would 4 notebooks coat?
    7·2 answers
  • Two students start a club the first week of school. Each member invites three new members the second week of school. Each of the
    12·2 answers
  • A burst of electromagnetic radiation has a frequency of 1 exahertz. One exahertz equals 10^12 megahertz. Each megahertz is equal
    15·1 answer
  • In rectangle ABCD, AB=8 units and BC=15 units. Find BD
    13·2 answers
  • A 3 foot wide brick sidewalk is laid around a rectangular swimming pool. The outside edge of the sidewalk measures 30 feet by 40
    14·1 answer
  • ASAP help. <br>help help​
    8·2 answers
  • The slopes of the sides of quadrilateral ABCD are shown in the table below.
    11·1 answer
  • The sum of 1 and 3 times a number is 22. write and solve and equation to determine the number. select the solution and graph tha
    10·1 answer
  • Is angle angle side right yall?
    8·1 answer
  • PppppppppppppppppHELPppppppp
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!