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GrogVix [38]
4 years ago
7

What is the EXACT and APPROXIMATE volume of the cylinder? (I NEED HELP FAST!)

Mathematics
2 answers:
brilliants [131]4 years ago
8 0
Exact is 320 pi

Approx is  1004.8
Leto [7]4 years ago
4 0
Exact: in terms of pi
v=hpir^2
h=height
r=radius

given
h=5
r=8
v=5pi8^2
v=5pi64
v=320pi cubic inches is the exact

aprox
pi=3.14 for aprox
v=1004.8 cubic inches



exact volume is 320pi in³
aprox volume is 1004.8 in³
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Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezcla
Dahasolnce [82]

Answer:

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

Step-by-step explanation:

En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:

1) El primer sabor sale de cualquiera de las 20 frutas disponibles.

2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.

3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.

Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:

n\mathbb{P}k = \frac{n!}{(n-k)!} (1)

Donde:

n - Número de sabores disponibles, adimensional.

k - Número de sabores escogidos, adimensional.

Si tenemos que n = 20 y k = 3, entonces la cantidad de malteadas de tres sabores distintos es:

n\mathbb{P}k = \frac{20!}{(20-3)!}

n\mathbb{P}k = \frac{20!}{17!}

n\mathbb{P}k = 20\cdot 19\cdot 18

n\mathbb{P}k = 6840

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

5 0
3 years ago
Please helpp geometry (click for picture)
NeTakaya

Answer:

20 degrees

Step-by-step explanation:

Since angle B and angle A are both inscribed angles to the same arc, they must be equal. Therefore:

7x-8=5x

Subtract 5x from both sides:

2x-8=0

Add 8 to both sides:

2x=8

Divide both sides by 2:

x=4

Now, you can plug this back into the equation for angle B:

B=7(4)-8

B=28-8

B=20

Hope this helps!

3 0
3 years ago
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