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WINSTONCH [101]
3 years ago
5

An isosceles triangle has a hypotenuse of length e

Mathematics
1 answer:
frutty [35]3 years ago
7 0

Answer:

No. It doesn't

Step-by-step explanation:

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Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat
nirvana33 [79]

Answer:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}

And solving for \frac{dh}{dt} we got:

\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}

We need to convert the rate given into m^3/min and we got:

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

5 0
3 years ago
Expand.<br> If necessary, combine like terms.<br> (x+3)(x – 3) = ?
Kobotan [32]

Step-by-step explanation:

multiply it

x²-3x+3x-9=0

x²-9=0

x²=9

square root both side we get

x=3

5 0
3 years ago
Read 2 more answers
Given g(x) = - 4x + 4, find g(3).<br> Answer:
likoan [24]

Answer:

-8

Step-by-step explanation:

substitute x with 3

-4(3) + 4

simplify (multiply)

-12+4

simplify

-8

4 0
2 years ago
Read 2 more answers
What is equivalent to a+a?
chubhunter [2.5K]

Answer:

2a

Step-by-step explanation:

We can combine like terms.

There are 2 'a' s in the expression, so we can rewrite a + a as 2a.

3 0
3 years ago
Which two numbers add up to -19 and multiply to make 35
iris [78.8K]

x+y = -19
x*y  = 35

x=-19-y
(-19-y)y = 35
y^2 +19y +35 = 0
y = -2.066965626
therefore x=35/y = -16.93303437

4 0
2 years ago
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