All categories

3 years ago

Select the BEST classification for π. A) irrational B) rational C) imaginary D) not real

Mathematics

2 answers:

Andreas93 [3]3 years ago

8 0

Well it's not really a matter of which is "best", one is right and the others are wrong :)

$\pi$ is an irrational number, meaning that it can't be expressed with a fraction between integers: in other words, there doesn't exist two integers $a,b$ such that

$\dfrac{a}{b}=\pi$

This is why option B is wrong. Also, imaginary numbers (option C) are complex numbers with no real part. Since

$\pi = \pi + 0i$

$\pi$ is not imaginary. Finally, irrational numbers are real numbers, so option D is wrong as well.

ale4655 [162]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

A textbook has 428 numbered pages, starting with 1.

kolezko [41]

Answer:

1/428 or 0.00233644859% chance

Step-by-step explanation:

Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!

5 0

2 years ago

Read 2 more answers

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

x = 2
y = -1

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

2 years ago

6. If b>6, then 3b + 3 could be A. 18 B. 19 C. 20 D. 21 E. 22

Gala2k [10]

Answer:

E. 22

Step-by-step explanation:

Hello!

We know that b>6, and we are asked to find the possible values for 3b + 3.

Let's directly substitute 6 for b:

3(6) + 3
18 = 3
21

Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.

The correct option is E. 22.

7 0

1 year ago

Find the algebraic expression for the word phrase 7 less than p

Doss [256]

So we need have to understand that if we were to solve this, our answer would be 7 less than 'p' with that information we get p-7.

8 0

2 years ago

Evaluate each expression 3 1/2 - 4 2/3

Kruka [31]

Answer:

-7/6

Step-by-step explanation:

To evaluate this, start by turning each into improper fractions.

3 1/2 - 4 2/3

7/2 - 14/3

Now give both common denominators and complete the operation.

7/2 - 14/3

21/6 - 28/6

-7/6

5 0

3 years ago