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zloy xaker [14]
3 years ago
10

Draining a half cylinder tank. A trough is shaped like a half cylinder with length 5 m and radius 1 m. the tank is full of water

when a valve is opened and water flows out of the bottom of the tank at a rate of 1.5m^3/hr . Hint: the area of a sector of a circle of radius r subtended by an angle theta is r^2/2 times theta.
a: How fast is the water level changing when the water level is 0.5 m from the bottom of the trough?
Mathematics
1 answer:
professor190 [17]3 years ago
8 0
<span>\sin(\theta/2) = \frac{OD}{OC}

read the attached file for more information</span>
Download pdf
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VODU
garri49 [273]

Answer:

r = ∛(3V/4π)

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

We want to solve this first for r³ and then for r.

Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions:  3V = 4πr³.

Dividing both sides of this equation by 4π isolates r³:

       3V

r³ = -------

       4π

To find r, take the cube root of both sides of

       3V

r³ = -------

       4π

obtaining r = ∛(3V/4π)

3 0
3 years ago
Read 2 more answers
A bag contains 15 blue chips and 10 red chips. if one chip is drawn at random, what is the probability that it will be red?
ICE Princess25 [194]

Answer: I’m pretty sure it’s c hope this helps

Step-by-step explanation:

5 0
3 years ago
Solve Equation<br> 1. 6 - 4x = 6x - 8x + 2
Helga [31]

Answer:

X=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6−4x=6x−8x+2

6+−4x=6x+−8x+2

−4x+6=(6x+−8x)+(2)(Combine Like Terms)

−4x+6=−2x+2

−4x+6=−2x+2

Step 2: Add 2x to both sides.

−4x+6+2x=−2x+2+2x

−2x+6=2

Step 3: Subtract 6 from both sides.

−2x+6−6=2−6

−2x=−4

Step 4: Divide both sides by -2.

−2x/−2=−4/−2

Step 5 :Answer

X=2

LEAVE A LIKE IF THIS BELPED PLEASE.

4 0
3 years ago
the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost
Oxana [17]

Answer:

$18.51 tax

$226.51 total cost

Step-by-step explanation:

208 x 0.089 = 18.51 tax

6 0
3 years ago
Please help due in the morning
777dan777 [17]

Answer:

A=45 square inches

Step-by-step explanation:

First find the height using Trig

Tan(45)=x/6

x=6tan(45)

x=6

Then area of a parallellogram is base x height so

A=7.5 x 6

A=45 square inches

3 0
3 years ago
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