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disa [49]
3 years ago
11

A nut company is determining how to package their new type of party mix. The marketing department is experimenting with differen

t-sized cans for the party mix packaging. The designers use the equation r=Vhπ⎯⎯⎯⎯⎯⎯√r=Vhπ to determine the radius of the can for a certain height hh and volume VV. The company decides they want the can to have a volume of 1280πcm31280π⁢cm3. Find the radius of the can if the height is 16cm16⁢cm. Keep your answers in simplified radical form.
Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

The radius of the can, in centimeters, is of 4\sqrt{5}

Step-by-step explanation:

Radius of the can:

The radius of the can is given by:

r^2 = \frac{V}{h\pi}

In which V is the volume and h is the height.

In this question:

V = 1280\pi, h = 16

Thus

r^2 = \frac{V}{h\pi}

r^2 = \frac{1280\pi}{16\pi}

r^2 = 80

r = \sqrt{80}

r = \sqrt{5*16}

r = \sqrt{5}\sqrt{16}

r = 4\sqrt{5}

The radius of the can, in centimeters, is of 4\sqrt{5}

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Eight swimmers participate in a race in how many ways can the swimmers finish in first second and third place an it be answered
Vesnalui [34]

Answer:

336

Step-by-step explanation:

To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.

In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.

We use the following formula:

P=\frac{n!}{(n-r)!}

where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.

n = 8

and

r = 3

thus the number of permutations is given bt:

P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336

the answer is that there are 336 ways in which the swimmers can finish in first second and third place

3 0
3 years ago
In a factory a metal rod 49 metre long is divided into metre pieces. How many pieces can be made from each rod?
REY [17]
If you would like to know how many pieces can be made from each rod, you can calculate this using the following steps:

49 metre long / 1 metre = 49 / 1 = 49 pieces

The correct result would be 49 pieces.
8 0
3 years ago
What is 14% of 3.09 million
svlad2 [7]

14% * 3.09 million = 432,600

7 0
2 years ago
Joshua is 1/3rd court of liquid left to feed a six plants he will give each of the plants the same amount how much liquid does e
Marta_Voda [28]

Answer:

1/18

Step-by-step explanation:

1/3 / 6 = 1/18

7 0
3 years ago
Please show me the steps of 78.32/0.22
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Divide

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0.22/ 78.32
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