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3 years ago

A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle

Mathematics

1 answer:

saw5 [17]3 years ago

8 0

Answer:The unicycle would travel 226.29 inches in 6 revolutions.

Step-by-step explanation:

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

9 batteries cost 13 dollars.It's ratios and Rates

8090 [49]

One battery costs $1.44.

The unit rate would be
$\frac{1.44}{1 battery}$

To get that answer, you would have to divide 13 ÷ 9.

I'm not sure if this is what you were looking for, but if it was, I hope I helped! :-)

4 0

3 years ago

Read 2 more answers

What is the lateral area of the rectangular prism? Assume the prism is resting on its base. A. 135 in2 B. 270 in2 C. 300 in2 D.

Olegator [25]

You have the length of the sides? If not: a and b is the length of the scratch, h is the height <span>This lateral surface area = 2ah+2bh=2h(a+b)</span>

8 0

3 years ago

For which equation is x = 9 a solution? A. 3x – 7 = –34 B. x – 9 = 1 C. 2003-05-02-00-00_files/i0020000.jpg D. 4x + 5 = 41

Monica [59]

X=9

A) 3x-7=34
3x= 34+7
3x= 41
x= 41/3

B) x-9=1
x=1+9
x=10

C) dude what is this

D) 4x+5=41
4x=41-5
4x=36
x=36/4
x=9 YAYY

Hope it helps!
#MissionExam001

7 0

3 years ago

How do I find the measure of the interior angle?

nataly862011 [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

$S=(n-2)180^o$