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marysya [2.9K]
3 years ago
14

You are filling up a cylindrical tank with a radius of 5m with water at a rate of 3 cm^3/min. Unbeknownst to you the tank has a

hole and is leaking at a rate of 1 cm^3/min.
How fast is the height of the water increasing?
The volume of a cylinder V = πr^(2)h.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

dh/dt = 3/25π m/min

Step-by-step explanation:

Radius = 5m

Rate (dV/dt) = 3 cm^3 / min

Leaking rate = 1 cm^3 / min

Volume = πr^2h

Volume = π(5)^2h

V= 25πh

Differentiate volume implicitly with respect to time

dV/dt = 3 cm^3/min

3 = 25π(dh/dt)

dh/dt = 3 m^3/min /25πm^2

dh/dt = 3/25πm/min

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Alex787 [66]

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The answer is 1/8 pints left

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If you had 3/4 pints already and you poured 5/8 pints into your glass, you would only have 1/8 pints left. First you need to make them both have the same denominator (8) to do that you need to multiply 3/4(2)=6/8. 6/8-5/8=1/8 pints left.

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Can someone help if you can’t tell I suck at math?
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3 years ago
Help ur boy out abcdefghijklmnopqrstuvwxyz
Umnica [9.8K]

Answer:

  1. (-6, 10)
  2. (-10, 9)
  3. (-11, -6)
  4. (-5, 1)

Step-by-step explanation:

<em>(x,y) → (x-8, y+4)</em>

1. (2, 6)

(2-8, 6+4)

<u>(-</u><u>6, 10)</u>

2. (-2, 5)

(-2-8, 5+4)

<u>(-10, 9)</u>

3. (-3, -10)

(-3-8, -10+4)

<u>(-11, -6)</u>

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4. (3, -3)

(3-8, -3+4)

<u>(-5, 1)</u>

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3 years ago
2 If m please help me
Nadusha1986 [10]

Answer:

x = 18

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Step-by-step explanation:

The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:

8x + 2x = 180

10x = 180

Divide both sides of the equation by 10 to isolate the x:

10x/10 = 180/10

x = 18

Now that we know the value of x, we can find the measure of angle HCB:

2x

2(18)

36

The measure of angle HCB is 36.

I hope this helps :)

8 0
3 years ago
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