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Lera25 [3.4K]
3 years ago
6

the circular ripple caused by dropping a stone in a pond is increasing in area at a constant rate of 20 square meters per second

. Determine how fast the radius of this circular ripple is increasing when the area of the circular region is 25 pi
Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

Answer:

  2/π ≈ 0.637 m/s

Step-by-step explanation:

The rate of change of area with respect to time is ...

  A = πr²

  dA/dt = 2πr·dr/dt

Filling in given values in the above equations, we can find r and dr/dt.

  25π = πr²   ⇒   r = 5

  20 = 2π·5·dr/dt

  dr/dt = 20/(10π) = 2/π . . . . meters per second

The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.

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How do you do it?I'm lost
Leto [7]

Answer and Step-by-step explanation:

The way you complete this is by taking each points x and y and applying the translation. In this case the translation is x-7 and y+1.

Q's x and y are 1 , 1

R's x and y are 1 , 5

T's x and y are 5 , 1

S's x and y are 5 , 5

Now what you do is use the translation on all of these values.

Q's x and y turns into -6 , 2 (subtracted 7 to the 1 and added 1 to the 1)

R's x and y turns into -6 , 6

T's x and y are -2 , 2

S's x and y are -2 , 6

You can then plot the points on the graph and connect the lines to complete the reflection.

Hope this helps ! !

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4 0
3 years ago
What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4)?
Shtirlitz [24]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47× 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654

6 0
3 years ago
sandra has 4 math test this marking period. she recieved 90%, 87%. and 92% on the first three. what is the minimum score she nee
Butoxors [25]

She would need to get a 90% or more.

6 0
2 years ago
ANSWER CORRECTLY AND ILL MARK YOU AS THE BRAINLIEST
lana66690 [7]

Answer:

2/3

Step-by-step explanation:

im pretty sure that's the answer

6 0
2 years ago
Read 2 more answers
Find the length of the leg x. Enter the exact value, not a decimal approximation.
kherson [118]
Answer:
x = 2√13.

Step-by-step explanation:

Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.
3 0
2 years ago
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