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uranmaximum [27]

3 years ago

15

Zohar is using scissors to cut a rectangle with a length of 5x-2 and a width of 3x+1 out of a larger piece of paper . The perime

ter of rectangle is 2(5x-2)+2(3x+1) if x = 4 centimeters whst is total distance

1 answer:

Dmitriy789 [7]3 years ago

7 0

The total distance if x=4 is 62

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hichkok12 [17]

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4 0

2 years ago

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

What is the area of the shaded triangle?

weeeeeb [17]

The area is 30 m!

A= 30m

6 0

2 years ago

Evaluate the expression and enter your answer below

Mila [183]

Answer:

hope it helps u

hope u find it helpful

6 0

3 years ago

If 7 less than 4 times a number is two more than that number, what is the result when the number is subtracted from 50?

Tasya [4]

Answer:

4x-7=x+2

3x=9

x=3

3-50=-47

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers