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Ronch [10]
3 years ago
15

Rationalise the denominator.

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

(5 -\sqrt{2})

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

(a + b)(a - b) =  {a}^{2} -  {b}^{2}  \\

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

\frac{1}{ 5-\sqrt{2} } \times  \frac{ 5+\sqrt{2}  }{ 5 +\sqrt{2}  } =  \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2})  } =  \\

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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On a number​ line, suppose point E has a coordinate of -4 ​, and EG = 13. What are the possible coordinates of point​ G?
Ludmilka [50]

Answer:

9 or -17

Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

<h3>Find G</h3>
  • -4 + 13 = G1
    -4 - 13 = G2
  • 9 = G1
    -17 = G2

The possible coordinates of G are 9 or -17.

7 0
1 year ago
Mercury metal is poured into a graduated cylinder that holds exactly 22.5mL. The mercury used to fill the cylinder weighs 306.0
aleksklad [387]

Answer:

13.6 g/ml

Step-by-step explanation:

Density is found by mass divided by volume

The mass is 306.0 and the volume is 22.5 ml

density = 306.0/22.5 =13.6 g/ml

We have 3 sig figs which is correct

3 0
3 years ago
Is the data set approximately periodic?
wolverine [178]

Answer:

Option: C is the correct answer.

       C. Periodic with period 4 and amplitude of about 15.

Step-by-step explanation:

We are given the table of values as:

Hour             1 -- 2 -- 3 --  4 --  5 -- 6 -- 7 -- 8 -- 9 -- 10 -- 11

Number       24-41-10-32-26-38-9-31-25-39-12

of boats

As we could see that after every 4 value the values are approximately repeating.

Hence,the data set is approximately periodic.

Also, the amplitude is calculated as:

Average of the maximum and minimum value of each set

We divide the set into 3 sets as follows:

 Hour                       1           2           3            4

Number of boat      24        41          10           32

Here we have amplitude as:

         (41-10)/2=15.5

 Hour                       5           6           7            8

Number of boat      26        38           9           31

  Amplitude is:

          (38-9)/2=14.5

Hour                       9           10          11            12

Number of boat      25        39          12      

            Amplitude is:

            (39-12)/2=13.5

Hence, we see that the amplitude is about 15.

   

4 0
3 years ago
When we divide 2√3 by 2√3 it gives 3 how ?(2√3/2√3)
S_A_V [24]
Only if the individual doing the calculation makes a substantial mistake.

Any fraction with the same quantity in the numerator and denominator
always has the value of ' 1 ', (provided only that the quantity is not zero). 
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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
nataly862011 [7]

Answer:

the characters choices often cause the conflicts

create links to other slides , videos or documents

a presentation that does not have any interaction

Step-by-step explanation:

hope I helped!! ;)

4 0
2 years ago
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