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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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Step-by-step explanation:

The price difference is found by subtracting Emma's price from DeShawn's price. Each price is the product of the number of square feet and the price per square foot.

The number of square feet is already given in the answer form, so you only need to fill in the per square foot prices. Those are found in the table. Both the window name and the window area give clues as to which is the right price to choose.

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5 0
3 years ago
Simplify sin^2y/sec^2 y−1 to a single trigonometric function
liubo4ka [24]

Answer:

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Step-by-step explanation:

We know that { \tan }^{2} y =  { \sec }^{2} y - 1

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6 0
2 years ago
If there is a class of 30 students and 6 of them are off, what fraction of students are there and what percentage of students ar
elena-s [515]
As fraction it would be 6/30 reduced 1/5 and as percentage 20% so 20% of the students were off.<span />
3 0
3 years ago
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ryzh [129]

           3 + 1 < 10

There's no question there, and nothing to solve.  That's a simple statement
which, after simplifying it slightly, says " 4 < 10 ".

A statement with which, I'm sure, we can all agree.


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3 years ago
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lesya692 [45]
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3 years ago
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