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wel
2 years ago
15

A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increas

ing at 3 m/ s. At the moment the radius is exactly 2m, what rate is the radius of the circle increasing?
Mathematics
2 answers:
Mazyrski [523]2 years ago
3 0
I believe it would be 6 due to the radius being a half of the actual circumfrence
zimovet [89]2 years ago
3 0
The relation between perimeter and radius  is P = 2 pi r

dP/dr = 2pi

dP/dt = 3  

when r = 2   dr/dt  = dP/dt * dr/DP =  3 * 1/2pi  = 0.477  m/s
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Select the action you would use to solve x/4 = 16. Then select the propertys that justifies that action.
Dafna11 [192]

Answer:

The right options are A and D.

Step-by-step explanation:

1. Option A.

The action is:Add 3 to both sides. This means that we need to do the following operation:

x - 3 = 12

∴ x - 3 + 3 = 12 + 3

∴ x = 15

So, the solution of this problem is x = 15.

2. Option D.

The property is:Addition property of equality. This is the property we are chosen because we need to isolate the variable x. To do that, we need to add a number of each side of the equation to find our goal and this property allows us to get our goal.

6 0
3 years ago
Identify the graph of the equation. What is the angle of rotation for the equation?<br><br>xy=-2.5
Maurinko [17]

Answer:

It is B. hyperbola, 45 degrees.

SteIt is p-by-step explanation:

If we rotate the standard form  x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.

xy = -2.5 comes from x^2 - y^2 = -5  being rotated 45 degrees.

3 0
3 years ago
Read 2 more answers
Which inequality represents a number n that is less than or equal to 3 but greater than -2?
Kisachek [45]
-2 < n \leq 3

This inequality basically says "-2 is less than n, which is less than or equal to 3".

Mark as brainliest if this helped! :)
5 0
3 years ago
Pls help It’s due tomorrow question is in the picture
Slav-nsk [51]

Answer:

C

Step-by-step explanation:

Let's find the area of each of the two circles.

First Circle:

The first circle has a diameter of 10 inches. That means the radius is 5 inches. So, its area is:

A=\pi r^2\\A=\pi (5)^2\\A=25\pi

Second Circle:

The second circle has a diameter twice that of the first. So, the diameter is 20 inches. This means that the radius is 10 inches. Find the area:

A=\pi r^2\\A=\pi (10)^2\\A=100\pi

Now, find the ratio between them by dividing:

\frac{\text{Smaller}}{\text{Larger}}=\frac{25\pi}{100\pi}

Simplify:

\frac{\text{Smaller}}{\text{Larger}}=\frac{1}{4}

1/4 is the same as 1:4

So, our answer is C      :)

5 0
3 years ago
0.3 km = ? mi. rounded to the nearest hundred​
Sergio [31]

Answer:

0.19

Step-by-step explanation:

There are approximately .62 miles in a kilometer

6 0
3 years ago
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