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Find five rational no between 1and2 . We approach this problem in least two ways.

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Since we need to find 5 rational nubers between 1 and 2 so we will multiply and divide both numbers by 5+1 =6
So 1=1×{tex}{6\over 6}{/tex} and 2=2×{tex}{6\over6}{/tex}
=> 1={tex}{6\over6}{/tex} and 2={tex}{12\over 6}{/tex}
So five rational numbers between 1={tex}{6\over 6}{/tex}and 2 ={tex}{12\over 6}{/tex} are
{tex}{7\over 6}{/tex},{tex}{8\over 6}{/tex},{tex}{9\over 6}{/tex},{tex}{10\over 6}{/tex} and {tex}{11\over 6}{/tex}
In general if need to find n rational numbers between a and b then we multiply and divide both the numbers by n+1, then write numbers from a(n+1) to b(n+1) and after that divide it by (n+1) we get required rational numbers between a and b.
in above problem a=1 b=2 and n=5 so we multiply and divide 1 and 2 by 5+1=6.
Now the numbers between a(n+1)=1×6=6 to b(n+1)=2×6=12 are 7,8,9,10 and 11.
So required rational numbers are 7/6,8/6,9/6,10/6 and 11/6.
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We can write 1 as {tex}{1 \over 1}{/tex} and 2 as {tex}{2 \over 1}{/tex}
Multiplying denominator by 10, we have
{tex}{1 \over 10}{/tex} and {tex}{2 \over 10}{/tex}
Now, you can choose any five rational numbers between
{tex}{1 \over 10}{/tex} and {tex}{2 \over 10}{/tex}
{tex}{2 \over {10}},{3 \over {10}},{4 \over {10}},{5 \over {10}},{6 \over {10}},{7 \over {10}},{8 \over {10}},{9 \over {10}}{/tex}
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Let a = 1 , b = 2 , n = 5 ,
b  a = 1 , n + 1 = 6
Therefore 5 rational numbers between 1 and 2 will be
a + (b  a) / 6 , a + 2(b  a) / 6, a + 3(b  a) / 6 , a + 4(b  a) / 6 , a + 5(b  a)/ 6
1 + 1/6 , 1 + 2/6 , 1 + 3/6 , 1 + 4/6 , 1 + 5/6 ,
7/6 , 8/6 , 9 / 6 , 10 / 6 , 11 / 6
Hence required rational numbers are
7/6, 4/3, 3/2, 5/3, 11/6
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what is significance of rule of law and respect for rights in democratic country

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Features of India

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Secularity
Democracy
Adult franchise
Etc
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In triangle abc ba =30 cb =45
Find all the angles

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please continue from above
3b = 180  15 = 165 b = 55
a = 55  30 = 25
c = 55 + 45 = 100
therefore a = 25 , b = 55 , c = 100
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In a triangle, we know that a + b + c = 180 ...............(i)
Given: b  a = 30 => b = a + 30 ..............(ii)
Also, c  b = 45 => b = c  45 ..............(iii)
Putting value of b from eq.(ii), in eq.(i), we get
a + a + 30 + c = 180
=> 2a + c = 150 ...............(iv)
Again putting the value of b from eq.(iii), in eq.(i), we get
a + c  45 + c = 180
=> a + 2c = 225 ................(v)
On solving eq.(iv) and eq.(v), we get
a = 25 and c = 100
Then, b = 30 + a = 30 + 25 = 55
Therefore, a = 25, b = 55, c = 100
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b  a = 30 a = b  30 ....... i
c  b =45 c = b + 45 ..........ii
a + b + c = 180.....iii
substitute i and ii in iii
b  30 + b + b + 45 = 180
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What s the definition of distillation and fractional distillation?

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Distillation is the process of separation and purification of different components of mixture of two or more immiscible organic liquids with appreciable difference in their boiling point. The separation takes place as more volatile solute will distil first.
Fractional distillation is a technique for the separation of miscible liquids. It is a distillation technique used for the separation of liquids which dissolve in each other. Fractional distillation is a process of separating the components of a mixture by repeated distillations and condensations.
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Processing refers to series of action performed on data which is done inside cpu where the control unit and the internal storage are linked Together by sets of parallel electrical conducting lines that categorised to carry data. In such processing, Signals and addresses can be called as???

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what is displacement?

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Difference between final position and initial position are called displacement.
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A displacement is a vector whose length is the shortest distance from the initial to the final position of a point P. It quantifies both the distance and direction of an imaginary motion along a straight line from the initial position to the final position of the point
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What is the importance of physical education?

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What is AAS congruency rule?

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ASA Angle Side Angle Rule
Two triangles are congruent if the two angles and the included side are equal
similarly there are 5 ways of finding if the two tringles are congruent
SSS, SAS , AAS, ASA, HL
Caution AAA Angle Angle Angle
Triangles which have three equal angles , we cannot be sure if they are congruent without knowing at least one side
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AAS Congruence Criterion: If any two angles and a nonincluded side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent.
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ASA is the Angle Side Angle rule.
In which we can say triangles are congruent by seeing their two angles and one side.
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What is difference between parenchyma, collenchyma and sclerenchyma??????

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Parenchyma Collenchyma Sclerenchyma It primary function is storage.Also provides support. Provides mechanical support and flexibility. Primarily mechanical in function. Present in epidermis,cortex,endodermis,etc. Present in midrib and leaf stalks. Present in monocot stem,huskof coconut, seed covering,etc. Thanks (0) 
Parenchyma collenchyma sclerenchyma Consists of a thin cell wall Consists of an unequally thin cell wall Consists of a thick and rigid cell wall Cell wall is made up of cellulose Cell wall is made up of cellulose and pectin Cell wall is made up of waterproofing lignin Intercellular space is present between cells No or little intercellular space is present between cells No intercellular space is present between cells Thanks (0)
A body start from point A and attain velocity 32 m/s in 10 second. Find acceleration?

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As body start from rest so Initial velocity u = 0 m/s
Final velocity v = 32 m/s
Time taken t = 10 s
Let acceleration = a
We know,
{tex}a = {vu\over t}{/tex}
{tex}=> a = {320\over 10}= 3.2\ m/s^2{/tex}
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Momentum can be negative.how?

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If we decide that the downward direction is positive (that is displacement, velocity etc.is +ve in the downward direction) then the direction opposite to it is negative.
If we drop a ball from roof then
 when the ball falls down it has +ve velocity
∴ the product m.v that is momentum is positive (mass cannot be negative)
 after the bounce, the velocity is in the negative direction
∴ product m.v that is momentum is negative
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Find the area of a right angled triangle whose hypotenuse is 25cm and base is 7cm

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Using Pythagoras Theorm
{tex}Height = \sqrt {(hypotenuse)^2(base)^2}{/tex}
{tex}= \sqrt{62549}{/tex}
{tex}= \sqrt{576}= 24 {/tex} cm
Area of ∆ = {tex}{1\over 2}\times base\times height{/tex}
= {tex}{1\over2}\times 7\times 24= 84\ cm^2{/tex}
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How is 39/20 a rational number lying between 0.75 and 1.2

Please send it as soon as possible
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No, it does not lie between 0.75 and 1.2
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Who hanged louis xvi to death

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The people of france...
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Louis xvi belong to which family

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Louis XVI belonged to the Bourbon Dynasty. He became the king when the treasury of Bourbon Dynasty came to an end due to long drawn out wars fought with other countries.
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bourbon
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Differentiate himalayan and peninsular rivers.

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 Himalayan rivers are perennial in nature, whereas peninsular rivers are seasonal in nature and dry up in summers as they are dependent upon rainfall.
 Himalayan rivers cause much erosion and have great flow of water, whereas peninsular rivers create much less erosion and also have weaker flow of water.
 Himalayan rivers are meandering, whereas peninsular rivers are straight.
 Himalayan rivers create great plains suitable for agriculture, urbanization, and industrialization. These are some of the most densely populated areas in the country.
 Himalayan rivers originate in the Himalayas, whereas peninsular rivers originate in small hills and plateaus.
 Himalayan rivers are much longer and deeper than peninsular rivers.
 Basins of Himalayan rivers are much deeper than the basins of peninsular rivers.
 Himalayan rivers irrigate the northern plains, whereas peninsular rivers irrigate the Deccan Plateaus.
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Simplify (0.001)^1/3

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{tex}(0.001)^{1\over 3}{/tex}
= {tex}((0.1)^3)^{1\over 3}{/tex}
= {tex}(0.1)^{3\times {1\over 3}}{/tex}
= {tex}(0.1)^1= 0.1 {/tex}
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{tex}(0.001)^{1\over 3}{/tex}
= {tex}((0.1)^3)^{1\over 3}{/tex}
= {tex}(0.1)^{3\times {1\over 3}}{/tex}
= {tex}(0.1)^1= 0.1 {/tex}
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Root 12 multiply root 5

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√12×√5=√60
=2√15
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Explain the three reforms introduced in russia by czar nicholas 2 after the revolution

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Examples for newton second law

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Examples of Newton's 2nd Law If you use the same force to push a truck and push a car, the car will have more acceleration than the truck, because the car has less mass. It is easier to push an empty shopping cart than a full one, because the full shopping cart has more mass than the empty one
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What is interparticle force of attraction.

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Intermolecular forces (IMFs) are the forces which mediate interaction between molecules, including forces of attraction or repulsion which act between molecules and other types of neighboring particles, e.g., atoms or ions.
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Solve equation for x
(i) 2^{2x}2^{x+3}+2^{4}=0
(ii) 3^{2x+4}+1=2.3^{x+2}

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(i) {tex}2^{2x}2^{x+3}+2^4=0{/tex}
{tex}=> (2^x)^{2}2^{x}2^{3}+16=0{/tex}
Put 2^{x}= y
{tex}=> y^28y+16=0{/tex}
{tex}=> y^24y4y+16=0{/tex}
{tex}=> y(y4)4(y4)=0{/tex}
=> (y4)(y4) = 0
=> y = 4
{tex}=> 2^x= 4{/tex}
=> {tex}2^x= 2^2{/tex}
So value of x = 2
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How we can say that a athlete running in a circular path is moving in a accelerated motion

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Because the direction of running is constantly changing.
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What is nucleoid

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IT A TYPE OF CELL THAT U R NOT HAVING IT IS ALSO CALLED AS LUND
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The nucleoid is the region in the prokaryotic cell that contains the main DNA material. As a side note, some DNA will be in other sections of the cell, but the primary material will be in the nucleoid.
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How will you show that air has maximum compressibilit

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Applying pressure and reducing temperature can liquefy gases. To show that air has the maximum compressibility we need perform a simple activity.
AIMTo show that gas are compressible.
MATERIIAL REQUIRED 3 Syringe, Rubber cork, Chalk powder, Water.
PROCEDURE:
 Take 3 syringes and remove the needles from their ends and seal those ends
 Now take a small amount of chalk and water and put it inside the syringes through the other end by plugging out the compressor in the first 2 syringes separately and close the ends.
 Leave the 3^{rd} syringe undisturbed. Now take all the syringes and try to compress them.
 You will notice that the syringe with chalk is unable to be compressed and in the syringe with water you can push the stopper to a small extent and in the 3^{rd} syringe which we have kept empty will be compressed to a high extent in comparison to the 1^{st} two syringes.
 This shows that air (mixture of gases) can be compressed to a high extent in comparison to solids and liquids.
 This is because they have greater intermolecular spaces in them which when compressed decreases and thus we are able to compress air.
Conclusion: Gases are compressible because there is large amounts of space between the gas particles which allow them to be compressed together under pressure. For liquids there is very little space between the particles so when put under pressure there is very little compression possible. And for solids there is no space between the particles so there is no compression possible.
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(x+4)(x+10)

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(x+4)(x+10)=x(x+10)+4(x+10)
=x^{2}+10x+4x+4×10
=x^{2}+14x+40
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= (x+4)(x+10)
= x^{2}+10x+4x+40
= x^{2}+14x+40
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