What is 6.9 times .27 equal=

A rational number raised to a rational power can either be rational or irrational. For example, 4^( 1/ 2) is rational because 4

Lady bird [3.3K]

Answer:

Step-bThis is an interesting problem. To solve it I should find two irrational numbers r and s such that rs is rational.

I am not sure I am able to do that. However, I am confident that the following argument does solve the problem.

As we know, √2 is irrational. In particular, √2 is real and also positive. Then √2√2 is also real. Which means that it is either rational or irrational.

If it's rational, the problem is solved with r = √2 and s = √2.

Assume √2√2 is irrational. Let r = √2√2 and s = √2. Then rs = (√2√2)√2 = √2√22 = √22 = 2. Which is clearly rational.

Either way, we have a pair of irrational numbers r and s such that rs is rational. Or do we? If we do, which is that?

(There's an interesting related problem.)

Chris Reineke came up with an additional example. This one is more direct and constructive. Both log(4) and √10 are irrational. However

√10 log(4) = 10log(2) = 2.y-step explanation:

7 0

3 years ago

After a hike, a group of students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression

SIZIF [17.4K]

Answer: B.

First, we have to have a question for this problem to create a solution. So, the example sentence is how many granola bars does each student get.

Second, an algebraic expression has a variable in it. So since we are trying to find the number of students, the variable is s.

From looking at C and D, we can already eliminate them. This question has mostly multiplication and division words in it, so it can't be addition and multiplication.

Now, we only have A and B left. A tip on how to figure this out is reading the word problem out thoroughly. I will use B as an example. 5 boxes of granola bars were multiplied by the number of granola bars each student got. From reading this, it makes more sense. But it does change the example sentence, though.

I hope this helped and this is the right answer!

8 0

3 years ago

You are moving the robot to your classroom, which measures 30 feet by 40 feet.

AlladinOne [14]

Answer:

1) See figure attached

2)

a) $d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}$

And if we replace we got:

$d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211$

b) $V = \frac{d}{t}$

And if we replace we got:

$V = \frac{7.211 ft}{2 sec}=3.606 s$

Step-by-step explanation:

Part 1

We can see the plot in the figure attached.

Part 2

a)

For this case we have two points $(x_1 , y_1) = (6,9) , (x_2 , y_2) = (10,15)$

And we want to find the distance travelled between these two points and we can use the following formula from the euclidian distance between two points:

$d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}$

And if we replace we got:

$d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211$

b)

Since it takes two seconds in order to go from (6.9) to (10,15) we can use the definition of velocity:

$V = \frac{d}{t}$

And if we replace we got:

$V = \frac{7.211 ft}{2 sec}=3.606 s$

6 0

3 years ago

If the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.

Sonbull [250]

Answer:

As Per Provided Information

Length of diagonal of square is 4√2 cm

We have been asked to find the length , perimeter and area of square .

First let's calculate the side of square .

Using Formulae

$\boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}$

On substituting the value in above formula we obtain

$\qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm$