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  • 2 answers

Annesha Mondal 5 years, 5 months ago

√3\2√5=√3\2√5×2√5\2√5=2√3√5\2^2√5^2=2√15\20

45516111? 46 5 years, 5 months ago

2 root 15 upon 20
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Pramod Pant 5 years, 5 months ago

(256×0.16)(256×0.09) 40.96×23.04 943.7184

Yogita Ingle 5 years, 5 months ago

(256)0.16 × (256)0.09
= 40.96 × 23.04
= 943.7184

  • 1 answers

Yogita Ingle 5 years, 5 months ago

The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations.
Median: Let’s arrange their score in ascending order in blue table. Now we will take the middle most score. Since we are talking about central tendency of data, middle most score should also reflect central tendency of data.

When the number of observations (n) is odd, the median is the value of the ((n+1)/2) Th observation.

When the number of observations (n) is even, the median is the mean of (n/2) & (n/2 + 1) Th observations.

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Gaurav Seth 5 years, 5 months ago

In point A(1, -1), x-coordinate is positive and y-coordinate is negative, so it lies in IV quadrant. In point B(4, 5), both coordinates are positive, so it lies in I quadrant. On plotting these point, we get the following graph.

(i) On joining the points A and B, we get the line segment AB. Now, to find the coordinates of a point on this line segment between A and B draw a perpendicular to X-axis from x = 2 and 3.
[since, x = 2 and 3 lies between A and B] say it intersect line segment AB at P and p’. Now, draw a perpendicular to Y-axis from P and p’, they intersect Y-axis at y = 1 and 3, respectively. Thus, we get points (2,1) and (3, 3) which lie between line segment AB.
(ii) Extent the line segment AB. Now, draw a perpendicular to X-axis from x = 5, say it intersects extended line segment at Q. Again, draw a perpendicular to Y-axis from Q and it intersects Y-axis at y = 7. Thus, we get the point Q(5,7) which lies outside the line segment AB.

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Sia ? 5 years, 5 months ago

{tex}\frac { 4 + \sqrt { 5 } } { 4 - \sqrt { 5 } } + \frac { 4 - \sqrt { 5 } } { 4 + \sqrt { 5 } }{/tex}
{tex}= \frac { ( 4 + \sqrt { 5 } ) ( 4 + \sqrt { 5 } ) + ( 4 - \sqrt { 5 } ) ( 4 - \sqrt { 5 } ) } { ( 4 - \sqrt { 5 } ) ( 4 + \sqrt { 5 } ) }{/tex}
{tex}= \frac { ( 4 + \sqrt { 5 } ) ^ { 2 } + ( 4 - \sqrt { 5 } ) ^ { 2 } } { ( 4 - \sqrt { 5 } ) ( 4 + \sqrt { 5 } ) }{/tex}
{tex}= \frac { \left\{ ( 4 ) ^ { 2 } + 2 ( 4 ) ( \sqrt { 5 } ) + ( \sqrt { 5 } ) ^ { 2 } \right\} + \left\{ ( 4 ) ^ { 2 } - 2 ( 4 ) ( \sqrt { 5 } ) + ( \sqrt { 5 } ) ^ { 2 } \right\} } { ( 4 ) ^ { 2 } - ( \sqrt { 5 } ) ^ { 2 } }{/tex}
{tex}= \frac { ( 16 + 8 \sqrt { 5 } + 5 ) + ( 16 - 8 \sqrt { 5 } + 5 ) } { 16 - 5 } = \frac { 42 } { 11 }{/tex}

  • 1 answers

Pramod Pant 5 years, 5 months ago

Rational numbers are the numbers that we can express in the form of p/q. For ex-3/6 ,4/9, etc.
  • 1 answers

Yogita Ingle 5 years, 5 months ago

5/7=0.7142     9/11=0.818181
first we have to change the  the number into decimal or rational
 decimal form of 5/7 is 0.71428571 and the decimal form of 9/11 is 81818181
hence the rational number are between 0.71428571 and 0.81818181

rational numbers between 5/7 and 9/11  
1) 0.72428571
2) 0.73428571
3) 0.74428571
      .
      .
      .
      .
upto 0.80818181
you can take any number between them as irrational.

 

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Namrata Jindal 5 years, 5 months ago

= a^2 - a - b^2 - b = a^2 - b^2 - ( a + b) = (a+b)(a-b) -1(a+b) = (a+b)(a-b-1)
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Sia ? 5 years, 5 months ago

Take AB= BC =  1cm
{tex}\angle B = {90^0}{/tex}
In {tex}\triangle{/tex}ABC
AC2 = AB2 + BC2
AC2 = 1 + 1
AC2 = 2
AC = {tex}\sqrt{2}{/tex}
In {tex}\triangle{/tex}OCD
{tex}\angle C = {90^0}{/tex} 
OD2 = OC2 + DC2
OD2 = ({tex}\sqrt{2}{/tex})2 + 1
OD2 = 2 + 1
OD2 = 3
OD = {tex}\sqrt{3}{/tex}

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Sia ? 5 years, 5 months ago

First rational number between {tex}\frac{1}{2}{/tex} and {tex}\frac{1}{3}{/tex} 
{tex}= \frac{1}{2}\left[ {\frac{1}{2} + \frac{1}{3}} \right] \Rightarrow \frac{1}{2}\left[ {\frac{{3 + 2}}{6}} \right] \Rightarrow \frac{5}{{12}}{/tex}
{tex} {\text{ = }}\frac{{\text{1}}}{{\text{2}}}{\text{,}}\frac{{\text{5}}}{{{\text{12}}}}{\text{ and }}\frac{{\text{1}}}{{\text{3}}}{/tex}
Second rational number between{tex}\frac{1}{2}and\frac{1}{3}{/tex}
{tex} {\text{ = }}\frac{1}{2}\left[ {\frac{1}{2} + \frac{5}{{12}}} \right] \Rightarrow \frac{1}{2}\left[ {\frac{{6 + 5}}{{12}}} \right] \Rightarrow \frac{{11}}{{24}} {/tex}
{tex} {\text{ = }}\frac{5}{{12}}and\frac{{11}}{{24}}{\text{ are two rational numbers between }}\frac{1}{2}and\frac{1}{3} {/tex}

Sachin Ahlawat 5 years, 5 months ago

1/3=0.3 , 1/2 = 0.5 Rational no. Between 1/3 and1/2 are 0.35,0.40,0.37 etc
  • 2 answers

Rupa Goel 5 years, 5 months ago

Consider x12 – y12 = (x6)2 – (y6)2 = (x6 – y6)(x6 + y6) = [(x3)2 – (y3)2][(x2)3 – (y2)3] = [x3 – y3] [x3 + y3] [x2 – y2][x4 + x4y4 + y4] = (x – y)(x2 + xy +y2) (x + y)(x2 – xy +y2) (x – y)(x4 + x4y4 + y4)

Shorya Sharma 5 years, 5 months ago

12
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Sia ? 5 years, 5 months ago

Given: Perimeter of rectangular wall = {tex}2\left( l+b \right){/tex} = 250 m ……….(i)
Now Area of the four walls of the room
={tex}\frac{\text{Total cost to paint walls of the room}}{\text{Cost to paint 1 }{{\text{m}}^{2}}\text{ of the walls}}{/tex}
={tex}\frac{15000}{10} = 1500 {{m}^{2}}{/tex} ……….(ii)
{tex}\because{/tex} Area of the four walls = Lateral surface area = {tex}2\left( bh+hl \right){/tex}={tex}2h\left( b+l \right){/tex} = 1500
{tex}\Rightarrow {/tex} {tex}250\times h=1500{/tex} [using eq. (i) and (ii)
{tex}\Rightarrow {/tex} {tex}h=\frac{1500}{250}{/tex} = 6 m
Hence required height of the hall is 6 m.

  • 3 answers

Sourabh Sharma 5 years, 5 months ago

No

Chinky Bhan 5 years, 5 months ago

No

Sachin Ahlawat 5 years, 5 months ago

No,it is not a rational no. Because it is non repeating and non terminating
  • 2 answers

Gangadhar N 3 years, 7 months ago

ho

Md Irshad 5 years, 5 months ago

Let x=2.3 X=2.333...... eq......(1) 10x=23.333.... eq.....(2) Now,subtract eq.1 from eq.2 10x-x=23.333-2.333 9x=21 X=9/21
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Sameeksha V H 5 years, 5 months ago

5x^2-x-4/x^2+3x-4 By factorising it. We get (5x+4)(x-1)/(x+4)(x-1) Cancel (x-1) We get (5x+4)/(x+4)
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Sia ? 5 years, 5 months ago

A rational number lying between {tex}\frac {3} {6}{/tex} and {tex}\frac 25{/tex}
{tex}\frac{\frac{3}{6}+\frac{2}{5}}{2}{/tex}{tex}=\frac{\frac{15+12}{30}}{2}{/tex}{tex}=\frac{\frac{27}{30}}{2}=\frac{27}{60}{/tex}

Sakshi Sahu 5 years, 5 months ago

The L.C.M of 6 and 5 is 30 We need to multiply 3/6 and 2/5 by 30 to get equal or same denominator 3/6×30/30 ; 2/5×30/30 90/360 ; 60/360 A rational no. between 3/6 & 2/5 is 67/360
  • 3 answers

Sia ? 5 years, 5 months ago

Infinitely many

Simrandeep Kaur 4 years, 11 months ago

Thanks

45516111? 46 5 years, 5 months ago

Many

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