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3 years ago

Someone please help me

Mathematics

1 answer:

sergey [27]3 years ago

6 0

Answer is S = 600 in^2

hope it helps

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She bought two pounds of turkey and one pound of cheese

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4 years ago

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Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. It forms a pile in the shape of a right circular cone whose

Norma-Jean [14]

Answer:

$\frac{dh}{dt}=\frac{160}{169\pi } ft/min$

Step-by-step explanation:

This is a classic related rates problem. Gotta love calculus!

Start out with the formula for the volume of a cone, which is

$V=\frac{1}{3}\pi r^2h$

and with what we know, which is $\frac{dV}{dt}=40$

and the fact that the diameter = height (we will come back to that in a bit).

We need to find $\frac{dh}{dt}$ when h = 13

The thing we need to notice now is that there is no information given to us that involves the radius. It does, however, give us a height. We need to replace the r with something in terms of h. Let's work on that first.

We know that d = h. Because d = 2r, we can say that 2r = h, and solving for r gives us that $r=\frac{h}{2}$ .

Now we can rewrite the formula with that replacement:

$V=\frac{1}{3}\pi (\frac{h}{2})^2h$

Simplify that all the way down to

$V=\frac{1}{12}\pi h^3$

The derivative of that function with respect to time is

$\frac{dV}{dt}=\frac{1}{12}\pi(3h^2)\frac{dh}{dt}$

Filling in what we have gives us this:

$40=\frac{1}{12}\pi (3)(13)^2\frac{dh}{dt}$

Solve that for the rate of change of the height:

$\frac{dh}{dt}=\frac{160}{169\pi } \frac{ft}{min}$

or in decimal form:

$\frac{dh}{dt}=.95\pi \frac{ft}{min}$

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3 years ago

A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in o

sergeinik [125]

Answer:

The distance in one sweep is 100 cm approximately

Step-by-step explanation:

Here, we want to calculate the distance the wiper covers in one sweep

Mathematically;

we have a structure like an arc of a circle. It is the length of this arc we want to calculate.

The formula for the length of an arc is;

theta/360 * 2 * pi * r

r is the radius which in this case is 50 cm

We have ;

115/360 * 2 * 3.1412 * 50 = 100 cm approximately

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3 years ago

The width of a rectangle is 2/3 it's length, l. The width, w of the rectangle is 10 inches. What is the perimeter ? What is the

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P = 6 2/3

a = 66 2/3

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3 years ago

1 kg = 2.2lb<br><br> 6.3lb = ___kg<br> show work

poizon [28]

$\dfrac{1kg}{xkg}=\dfrac{2.2lb}{6.3lb}\ \ \ \ |cross\ multiply\\\\2.2x=1\cdot6.3\\\\2.2x=6.3\ \ \ |divide\ both\ sides\ by\ 2.2\\\\x=\dfrac{6.3}{2.2}\\\\x=\dfrac{63}{22}\\\\\boxed{6.3lb=2\frac{19}{22}kg\approx2.86kg}$

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3 years ago