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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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The number in a fraction that tells how many equal parts are in the hall or in a group
Paul [167]

I think the answer is "the denominator"

3 0
2 years ago
Circle P has a circumference of approximately 75 inches.
photoshop1234 [79]

Answer:

12in is you answer

Step-by-step explanation:

The formula to find circumference is C=2\pi r

so to rearrange to solve for radius that will be r=\frac{C}{2\pi }

=\frac{75}{2\pi }

=11.94in

5 0
3 years ago
Anyone know this and can help?!
DENIUS [597]

Answer:

65.4°

Step-by-step explanation:

According to question

The equation is

Cos(x)=5/12

x=acos(5/12)

x=65.4°

7 0
2 years ago
Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot,
Firlakuza [10]
The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
</span>
 Tan(α)=Opposite leg/Adjacent leg

 α=30°
 Opposite leg=x
 Adjacent leg=200 feet

 When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/200
 
 You must clear "x":

 x=200xTan(30°)

 Therefore, the value of "x" is:

 x=115 feet
<span>
 How high above the ground the is the helicopter?

 The answer is: 115 feet</span>
4 0
3 years ago
Matt Bonner has 8 dimes, 9 pennies, and 4 quarters in his pocket. If each coin is equally likely to be pulled out of his pocket
Lesechka [4]

Answer:

B. 0.602%

Step-by-step explanation:

Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.

The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.

Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.

The probability of drawing a penny is: 9 / (20 - 1) = 9/19.

The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.

Multiply these four probabilities together:

(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%

The answer is B.

8 0
3 years ago
Read 2 more answers
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