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VikaD [51]
3 years ago
12

A garden hose having an internal diameter of 0.740 in. ( 1.8796 cm ) is connected to a lawn sprinkler that consists merely of an

enclosure with 36 holes, each 0.055 in. ( 0.1397 cm ) in diameter. If the water in the hose has a speed of 4.00 ft/s ( 121.920 cm/s ), at what speed does it leave the sprinkler holes?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

It will leave the sprinkler at speed of v_2=613.87m/sec

Step-by-step explanation:

We have given internal diameter of the garden hose d_1=0.740in=1.8796cm

So radius r_1=\frac{d_1}{2}=\frac{1.8796}{2}=0.9398cm

So area A_1=\pi r_1^2=3.14\times 0.9398^2=2.7733cm^2

Water in the hose has a speed of 4 ft/sec

So v_1=4ft/sec=121.92cm/sec(As\ 1ft/sec\ =30.48cm/sec)

Number of holes n = 36

Diameter of each hole d_2=0.1397cm

So radius r_2=0.0698cm

So area A_2=\pi r^2=3.14\times 0.0698^2=0.0153cm^2

From continuity equation

A_1v_1=nA_2v_2

2.7733\times 121.92=36\times 0.0153\times v_2

v_2=613.87m/sec

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Oliver climbed 222 meters of a steep mountain reach the summit. He then rappelled down the other side of the mountain to return
nikdorinn [45]
B -222

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In addition, be aware that the question is asking you an integer to represent a situation, not the answer of where Oliver is. 

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The equation (x-3)^2+(y+7)^2=64 models the position and range of the source of a radio signal. Describe the position of the sour
12345 [234]
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
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7 0
3 years ago
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A phone company offers two monthly plans. Plan A costs $16
Trava [24]
We can write two equations for this. x = each minute of calls

Plan A = .1x + 16
Plan B = .14x

Make the two equations equal each other, so we can find when they are the same.

.1x + 16 = .14x

Subtract .1x from both sides

16 = 0.04x

Divide by 0.04 to get x by itself

400 = x.

Earlier, we set x as each minute of calls. This means that after 400 calls, Plan A and Plan B will cost the same.

To find the cost, substitute 400 into both equations by themselves.

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Plan B cost =  $56

Final answer: After 400 calls, Plan A and Plan B will both cost $56.
8 0
3 years ago
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