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3 years ago

Explain the difference between a well defined set and a set that is not well defined. Give examples.

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

Answer:

Step-by-step explanation:

A well defined set is one which is universally defined and accepted, you can easily define what the set is and what is not a member of the set.example is a set of integers between 1 and 30

A not well defined set is one which is ill defined set. example is a list of hit musical hit of 2019

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What is the perimeter of the triangle? Round to the nearest tenth.

Cerrena [4.2K]

Answer: 19.8 Units

Step-by-step explanation:

The triangle is shown in the attached figure, and have three vertices: $AB$ , $AC$ and $BC$ .

Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.

In this sense, the modulus $m$ is calculated as shown:

$m=\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$

Hence, for each vector:

$AB=\sqrt{(-2-3)^{2} + (3-0)^{2}}=\sqrt{34}$

$AC=\sqrt{(-2-(4))^{2} + (3-(-3))^{2}}=\sqrt{40}$

$BC=\sqrt{(-4-3)^{2} + (-3-0)^{2}}=\sqrt{58}$

Now, the perimeter of a triangle is the sum of its three sides:

$AB+AC+BC=\sqrt{34} + \sqrt{40} + \sqrt{58}$

Finally:

$AB+AC+BC=19.77 \approx 19.8$

6 0

3 years ago

What is the 8th term of the geometric sequence a2 = 20 and r = 5

algol [13]

Answer:

8th term of geometric sequence is 312500

Step-by-step explanation:

Given : $a_2=20$ and common ratio (r) = 5

We have to find the 8th term of the geometric sequence whose $a_2=20$ and common ratio (r) = 5

Geometric sequence is a sequence of numbers in which next term is found by multiplying by a constant called the common ratio (r).

$a_n=ar^{n-1}$ ......(1)

where $a_n$ is nth term and a is first term.

For given sequence

a can be find using $a_2=20$ and r = 5

Substitute in (1) , we get,

$a_2=ar^{2-1}$

$\Rightarrow 20=a(5)$

$\Rightarrow a=4$

Thus, 8th term of the sequence denoted as $a_8$

Substitute n= 8 in (1) , we get,

$a_8=ar^{8-1} \\\\a_8=(4)r_{7} \\\\a_8=4(5)^7=4 \times 78125=312500$

Thus 8th term of geometric sequence is 312500

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3 years ago

What is the exponet of 10×10

Ivanshal [37]

The exponent of 10x10 is 100

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Leonard's parents told him that he can only play video games for less than 5 1/2 hours each week. Leonard has a new game and he

Natasha2012 [34]

The correct answer should be 7 levels for the entirety of the week. However, there are two solutions that satisfy this question so perhaps it is really asking how many additional levels he is able to beat. In this case, the answer should be B: x > 5 2/3

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2 years ago

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Which number is a factor of 14, but not a multiple of 2?

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7 is a factor of 14 and is not a multiple of 2.

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