Question

Help me

Answer 1

Alright, first, what do you think the answer is?

Answer 2

And also, do you know how to cross multiply?

Answer 3

yes i do but i dont understand the whole question

Answer 4

Alright, so in this question, they are asking you to find X, with only the numbers and tools they give you below to put as the answer

Answer 5

They give you a square root sign, and numbers.

Answer 6

So, first let's see what we get for
(3/x) Divided by (x/4)

Answer 7

You can Cross multiple 3 (a numerator) and 4 (The denominator of the other equation) and get 12

Answer 8

Now, we have X, cross multiply X by X, and you'll get X squared

Answer 9

right i got that far but after that i got stuck

Answer 10

Alright, so 12 is in fact equal to X squared. BUT, we have to find what is equal to X

Answer 11

So in order to do this, since X is x^2, we can square root it, and get the SquareRoot of X=The Square Root of 12.

Answer 12

Like 4^2=36, The square root of 4^2 is equal to the square root of 36.

Answer 13

4^2=16***

Answer 14

We know that the square root of X squared is X. An example is that the square root of 5 squared, is in fact 5.

Answer 15

Now we have to find the square root of 12.

Answer 16

Do you know how to do that?

Answer 17

6

Answer 18

6*2=12

Answer 19

Not quite. 6 Times 6 is not equal to 12. When you are finding the square root, think about finding two numbers that multiplies to get the answer

Answer 20

Or in other terms, find a number multiplied by itself equals 12.

Answer 21

Does any number multiplied by itself equal 12, that's not a decimal?

Answer 22

there isnt one

Answer 23

Correct, so since there isn't a number multiplied by itself that equals 12, we have to simplify the square root of 12 further.

Answer 24

The easiest way to do this is by finding any two numbers, (preferably the lowest common multiples) that equals 12.

Answer 25

6

Answer 26

Hm, can you think of a smaller fact than Six that can get you to 12?

Answer 27

factor*

Answer 28

What about 4 and 3? Since 4*3=12

Answer 29

1,2,3,4

Answer 30

4 and 3 are the lowest factors you can multiply together to get 12, so lets work from there

Answer 31

Now, we simplified 12 a little bit, so we have \[\sqrt{12}=\sqrt{4*3}\] simplified.

Answer 32

But it can be simplified a little bit further. but first let's get together all of our factors still in the equation. We square rooted X squared already to get X, and we're working on The other equation. So right now we have \[X=\sqrt{4*3}\]

Answer 33

Do you understand how we got 4 times 3 and why it's still under the square root sign?

Answer 34

yup

Answer 35

Alrighty, we're almost finished,

Answer 36

Now, we have to simplify the square root a little bit further. We can do this by finding the square root of One of the numbers that is under the radical.

Answer 37

You know which number that is?

Answer 38

4 can go down to 2

Answer 39

Correcto. Where does the 2 go in the equation now? Does it go inside the radical or outside? Since we just found the square root of 4 and got it.

Answer 40

in place of the 4

Answer 41

Is the two inside the radical in place of the four, or outside the radical, right next to the square root of 3?

Answer 42

Like, is it \[\sqrt{2*3}=x \] or \[2\sqrt{3}=X\]

Answer 43

out side

Answer 44

Correcto, so do you think we can simplify the equation anymore without forming any decimals?

Answer 45

no

Answer 46

Correct, so what is the final answer?

Answer 47

\[2\sqrt{3}\]

Answer 48

Correct! That's the answer to the question.

Answer 49

So \[x=2\sqrt{3}\]

Answer 50

thank you so much

Answer 51

np

Answer 52

Just tag me in another question if you need my help again!

Answer 53

i have about 3 more if u can help me

Answer 54

Sure

Answer 55

Alright, so in this question we are given one side length, and all 3 angles.

Answer 56

The question says that it's a 30 60 90 triangle, and gives us the location of 30 degrees and 90 degrees already.

Answer 57

Do you know the equation

\[ \frac{ a }{ Sin A }=\frac{ b }{ Sin B }=\frac{ c }{Sin C }\]

Answer 58

Lets change it up a bit to make it a little bit more familiar.

Answer 59

ok

Answer 60

Sorry about that, my internet stopped working momentarily for some odd reason!