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iogann1982 [59]
4 years ago
7

A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour and the sides of the square a

re decreasing at a rate of 5 meters per hour. When the radius is 4 meters, and the sides are 23 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is square meters per hour.
Mathematics
1 answer:
slavikrds [6]4 years ago
3 0

Answer:

<h2>305.408m^2/hour</h2>

Step-by-step explanation:

Let r = radius of circle

     s = length of a side of the square

 

dr/dt = -3m/hour

  ds/dt = 5m/hour

we know that

area of square= s^2

area of circle=πr^2

Let A be the area of outside

A = (area of square) - (area of circle)

          = s^2 - πr^2

dA/dt=?

when r = 4 and s = 23

 substituting we have

dA/dt = 2s(ds/dt) - 2πr(dr/dt)

             =2(23)(5) - 2π(4)(-3)

            = (230 + 24π) m^2/hour

            = (230 + 75.408) m^2/hour

            = 305.408m^2/hour

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IgorC [24]

Answer:

42.5 units^2

Step-by-step explanation:

We can split up this shape into smaller ones.

First we can start with the large rectangle on top

We know its 9 by 3.5

9x3.5=31.5

The large rectangle is 31.5, at the end we'll add them all together

Next we can work on the small triangle on the bottom left

Area= bh/2

Both the base and height are 2, 2x2=4   4/2=2, The area of that triangle is 2

Now we can work on the triangle on the bottom right. This time the base is 5

5x2=10   10/2=5, The area of that triangle is 5

Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.

Now we know the small square is 2 by 2. 2x2=4 The square's area is 4

Now we add them all up.

31.5+2+5+4=42.5

8 0
3 years ago
Help please!! someone explain
valina [46]
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3 years ago
Complete the table and then graph the function.<br> y = 5x
sergejj [24]

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

0  0

1   5

2  10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

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2 years ago
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julia-pushkina [17]

Answer:

3.90 I think.

Step-by-step explanation:

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6 0
3 years ago
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Firdavs [7]

The answer is the second choice.

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Hope this might help!

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