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FrozenT [24]
3 years ago
14

Rationalize the denominator of 2/√3−1 Please give step by step answer

Mathematics
2 answers:
Rashid [163]3 years ago
7 0
Answer: sqrt2

Explanation:

I attach a photo please check it:

STatiana [176]3 years ago
7 0

Answer:

√3 + 1

Step-by-step explanation:

Step below are self-explanatory

  • 2/(√3−1)=
  • 2×(√3 + 1)/(√3 - 1)×(√3 + 1) =    <em>multiplied both sides by √3 + 1</em>
  • 2×(√3 + 1)/(√3² - 1²)=               <em> used (a+b)(a-b)= a² - b² formula</em>
  • 2×(√3 + 1)/(3 - 1)=
  • 2×(√3 + 1)/2=                            <em>cancelled like terms</em>
  • √3 + 1
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a and b can do a piece of work in 12 days, b and c in 15 days and c and a in 20 days. how much time will a alone take to finish
nydimaria [60]
A and b can do a piece of work in 12 days. If a alone have to finish the job among b and c so

A and b=12
A (24 days alone without b)

So if b and c 15 days and c 20 days. If a have to do all I would add 24 and 15 and 20 which would be 59 days
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3 years ago
there are 12 marbles in a bag 1 black 2 orange 4 green and 5 yellow what fraction of the marbles are yellow
IRISSAK [1]
I feel like it would be 5/12, but im not 100% sure
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3 years ago
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Compared to last year, the population of boom town has increased by 25%. The population is now 6,600. What was the population la
prisoha [69]

Answer:

5280people

Step-by-step explanation:

Given parameters:

Percentage increase of population  = 25%

Population now = 6600

Unknown:

Population last year = ?

Solution:

Let the population last year = y;

   Then;

   Percentage of last years population plus the population of last year should give us this year's population;

         (\frac{25}{100} of y) + y  = 6600  

           0.25y + y = 6600

            1.25y = 6600

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5 0
3 years ago
(2.9X10^5)X(3.4X10^3 in standard form
Evgesh-ka [11]

By using exponent, it can be verified that

(2.9 \times 10^5) \times (3.4 \times 10^3) in standard form is 9.86 \times 10^8

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In 2^4 = 2 \times 2 \times 2 \times 2

Here, 2 is multiplied by itself 4 times.

If a^m = a \times a \times a ... \times a (m times), a is the base and m is the index.

The laws of index are

a^{m + n} = a^m \times a^n\\a^{m - n} = \frac{a^m}{a^n}\\(\frac{a}{b})^m = \frac{a^m}{b^m}\\(ab)^m = a^m b^m\\a^0 = 1\\a^{-n} = \frac{1}{a^n}

The given exponent is

(2.9 \times 10^5) \times (3.4 \times 10^3)\\9.86 \times 10^{5+ 3}\\9.86 \times 10^8

To learn more about exponent, refer to the link:

brainly.com/question/11975096

#SPJ1

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2 years ago
Sharon is buying a circular rug for her living room. The diameter of the rug is 8 feet. Which measurement is closest to the area
Vanyuwa [196]

Answer:

B) 50.24 ft^2

Step-by-step explanation:

radius =1/2 diameter = 4

area = Pi(r^2) = 3.14(4^2) = 3.14(16) = 50.24

6 0
3 years ago
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