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2 years ago

9

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and hei

ght
as the cylinder?

1 answer:

Feliz [49]2 years ago

3 0

Answer:

volume of cone=1/3 ×π×(d/2)²h=1/3 ×22/7×6²/4×14=924cm³

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Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h

In-s [12.5K]

Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

4 0

3 years ago

To add 20.4 + 3.75 + 4.25, Crystal first added 3.75 and 4.25. Which property did Crystal use to add mentally?

evablogger [386]

Answer:

Associative Property of Addition

Step-by-step explanation:

From the list of given options, option A correctly answers the question and this is because

$a + b + c = a + (b + c)$ --- (1)

or

$a + b + c = (a + b) + c$ --- (2)

<em>The above illustrations only apply to Associative Property of Addition</em>

In Crystal's case:

$20.4 + 3.75 + 4.25 = 20.4 + (3.75 + 4.25)$

This can be compared to (1) above

Hence;

<em>Option A answers the question</em>

3 0

3 years ago

The surface area of the world is about 7/10 water. If a very small, non-dangerous meteoroid lands on the earth, what is the prob

galben [10]

Answer: 3/10 probability

Step-by-step explanation:

We are telling the probability with tenths, so we can say that the probability of the meteoroid landing on Earth is 3/10.

If the surface area of the world is approximately 7/10, or 70 percent, water, there is approximately 3/10, or 30 percent, chance of the meteoroid hitting land.

I'm pretty sure, at least ^_^

7 0

3 years ago

Read 2 more answers

What is the inverse of the equation f(x)=3x−8

inysia [295]

Should be 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.

6 0

2 years ago

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C

4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea $x$ la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

$x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}$

$x = 84$

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

$y = \frac{3}{7}\cdot x$

$y = 36$

Murieron 36 vacas.

Cantidad de vacas vendidas

$z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x$

$z = 24$

24 vacas fueron vendidas.

8 0

3 years ago