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Andrej [43]
3 years ago
12

A cone and a cylinder have the same height and their bases are congruent circles

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0

Answer:

30 cm^3

Step-by-step explanation:

Given

radius for both shape = r

height  for both shape = h

volume of cylinder is given by \pi r^2h

volume of cone is given by 1/3(\pi r^2h)

From above two equation we can see that  \pi r^2h is volume of cylinder

thus we can say that volume of cone is 1/3(volume of cylinder)

So we can say that for any cylinder and cone whose height is same and base is congruent

volume of cone will be one-third of volume of cylinder.

Now in given problem

volume of cylinder is 90 cm^3

So , volume of given cone will be one-third of 90 cm^3

which is 1/3*90 cm^3 = 30 cm^3.

Thus, volume of the given cone is 30 cm^3.

Please mark it the brainliest

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Just need help with B and C <br><br><br> 30 POINTS
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Answer:

b) 6/7

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Step-by-step explanation:

b) Scale Factor = Red/(Red+Blue) = 8/(8+6) = 8/14 = 6/7.

c) x =  8+6 = 14.

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2 years ago
I need this answered fast pleasee
TiliK225 [7]

The descriptive answer of different part is described below.

<h3>What is Linear Equation?</h3>

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

  150 -75 = 75t -50t, combine likes terms

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Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

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The solution of the system of equations is c = 300 and t = 3

Part C:

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

Learn more about Linear equation from:

brainly.com/question/11897796

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2 years ago
Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezcla
Dahasolnce [82]

Answer:

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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

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