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stira [4]
3 years ago
5

If a= √ ​2+1, then find (a-1/a)^2

Mathematics
2 answers:
klasskru [66]3 years ago
6 0

The correct answer is 4.

NeTakaya3 years ago
6 0

Answer:  (a-1/a)^2 =4 where a= √2 +1

Step-by-step explanation:

Given a= √2 + 1

Now a - 1 /a =(√2+1) - 1/(√2+1)

Multiplying and dividing by √2+1

 = ((√2+1)² -1)/(√2+1)

=(2+1+ 2√2-1)/(√2+1)         [(a+b)² =a² + b² + 2ab]

=(2+ 2√2)/(√2+1)

= 2 (√2+1)/(√2+1)

=2

Now we have to find (a-1/a)^2

i.e. 2^2

=2²

=4

So (a-1/a)^2 = 4

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Which of the following numbers is a rational
Vikentia [17]

Answer:

I think -3.5 is the right answer

7 0
3 years ago
Please help me with this
pantera1 [17]

Answer:

  • 8 3/4
  • 2, 3
  • 4 1/2, 11 1/4
  • 9 3/4, 16 1/4
  • Y/B = 2/3

Step-by-step explanation:

<h3>a)</h3>

The first line is simply the sum of the two given numbers.

  3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

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To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

  Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

  Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

  Y = 2; B = 3

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The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

  Y = 2(2 1/4) = 4 1/2

  total = 5(2 1/4) = 11 1/4

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The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

  B = 3(3 1/4) = 9 3/4

  total = 5(3 1/4) = 16 1/4

_____

<h3>b)</h3>

The equation is the one we used to find the values on the second line:

  Y/B = 2/3

7 0
2 years ago
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each ty
eduard
Well obviously quarters equal 25 cents.  So you have to divide the 8.85 by 25 first.  That means he could have 35 quarters.  That least the rest as being dimes.  So find the remaining amount of the 8.85.  If you have 35 quarters that's $8.75.  And 8.85 minus 8.75 is 10 cents.  which would be 2 nickels.  That only adds up 37 coins.  So you break down one of the 25.  That would mean 5 more coins could be nickels.  Add 37 and 5 to get 42.   Do it again.  25 cents in nickels would be 5 more coins.  would be 46.  that would be missing 2 coins. But don't forget you're also subtracting from the 35 quarters. Now you would technically have 12 nickels and 33 quarters.  So you can do it one more time.  32 quarters means there is $8 in quarters at this point.

Now add you have 12 nickels, and you made 5 more.  That's 17 nickels.  That equals 85 cents.  So add 17 and 32 to be sure you have 49 coins, which you do. 


So 17 nickels, 32 quarters to equal 49 coins and $8.85

(sorry some of it got mixed up above because I was forgetting to subtract the quarters from the total as I changed them to nickels, so pay attention to the end)
8 0
3 years ago
ANSWER QUICK I WILL GIVE BRAINLIEST THANKS
dalvyx [7]

Answer:

25/14

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 7 equal regions. The number of ele
oee [108]

Answer:

Option A.

<em>The number of elements in the sample space of this experiment is 84</em>

Step-by-step explanation:

The sample space for an experiment represents the number of possible results that may occur when conducting the experiment.

When throwing a die and observe the number obtained there are 6 possible results

When throwing a coin there are 2 possible results.

When spinning a wheel divided into 7 regions we have 7 possible outcomes.

If we combine these three experiments, then the sample space S is composed of the product of the possible results of each experiment.

S = (6)(2)(7)\\\\S =84

5 0
4 years ago
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