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3 years ago

the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle

Mathematics

1 answer:

ss7ja [257]3 years ago

7 0

Answer: The width is the square root of 40 or 6.32

Step-by-step explanation:

9^2 + b^2 = 11^2 where b squared is the width

81 + b^2 = 121

-81 -81

b^2 = 40

b= 6.32

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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 $0.127 \frac{cm}{min}$

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4 years ago

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<u>Step-by-step explanation:</u>

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4 years ago

As i turned out, avery spent 5 hours per day driving and drove a total of 5565 miles. what was his average speed for the hours h

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3 years ago

Tristan is building steps up to a deck that is 156 5 6 yards above the ground. The steps must all be the same height. If he want

ss7ja [257]

Answer:

The height of each step is 1957 yard

Step-by-step explanation:

we are given

Tristan is building steps up to a deck that is 15656 yards above the ground

so, total height =15656 yards

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now, we can use formula

Height of each step = ( total height)/( number of steps)

now, we can plug these values

and we get

Height of each step is

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3 years ago

the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle​

the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle