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3 years ago

What is the scale factor of this dilation? A 2/3 B 1 1/2 C 3 D 5

Mathematics

1 answer:

Jlenok [28]3 years ago

3 0

Answer:

B. 1 1/2

Step-by-step explanation:

The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.

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Explain the difference between deductive and inductive arguments in your own words.

lyudmila [28]

Answer: The difference is as follows:

Step-by-step explanation:

Deductive Arguments: A deductive argument is an argument wherein it is felt that the premises give an assurance of reality of the end. In a deductive arguments, the premises are planned to offer help for the conclusion that is so strong to an extent that, if the premises are valid, it would be impossible for the conclusion to be false.

Inductive Arguments: An inductive arguments is an arguments where it is believed that the premises provide reasons supporting the likely truth of the conclusion. In an inductive arguments, the premises are proposed distinctly to be strong to an extent that, on the off chance that they are valid, at that point it is impossible that the conclusion is false.

The contrast between the two originates from the kind of connection the author or explainer of the argument takes there to be between the premises and the conclusion. In the event that the author of the argument accepts that reality of the premises certainly sets up reality of the conclusion because of definition, l<igical entailment or scientific need, at that point the argument is deductive. In the event that the author of the argument does not feel that reality of the premises certainly sets up reality of the conclusion, however in any case accepts that their fact gives valid justification to accept the conclusion genuine, at that point the argument is inductive.

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3 years ago

A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili

____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

$A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2$

Area of square,

$A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2$

Now, probability is given by :

$P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785$

Therefore, the probability that the point is inside the circle is 0.785 .

4 0

3 years ago

Answer 2. Ella was born early in the morning on a Monday. She got married on the 9074th day of her life. What day of the week wa

m_a_m_a [10]

Answer:

Ella got married on a Wednesday.

Step-by-step explanation:

Let's solve this problem by understanding the following:

Each week is composed by 7 days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.

So 1 week = 7 days;

Because the married day was on the 9074th day of her life, we can find the number of weeks that 9074 days represent:

$\frac{1 week}{7 days} * 9074 days = 1296.285714 weeks$

This means that 9074 days represent 1296.285714 weeks, which can be interpreted as 1296 entire weeks and a fraction of a week (0.285714).

Now let's calculate how many days 0.285714 weeks represent:

$\frac{7 days}{1 week} * 0.285714 weeks = 2 days$

This means that 9074 days are actually 1296 weeks and 2 days, because Ella was born on a Monday, and because after 7 days (1 week) it is Monday again, after 1296 weeks it is Monday, but as we also calculated 2 extra days, then the married day is two days after a Monday, that is a Wednesday.

In conclusion, Ella got married on a Wednesday.

3 0

3 years ago

What is the average rate of change on the interval from 3 to 9?

sammy [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

Helen has 21 marbles. 2/7 of them are blue,1/3 are red and the rest are green. how many green marbles does Helen have?

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

2/7 of 21 is 6 1/3 of 21 is 7. 6+7 is 13. 21-13 = 8

6 0

3 years ago