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  • 1 answers

Rupender Singh 8 years, 8 months ago

To find 5 rational number between 6 and 7, we can write 6 and 7 with denominator 5 + 1 = 6

{tex}6 = {36 \over 6}{/tex}and

{tex}7 = {42 \over 6}{/tex}

Thus, 5 ration number between 6 & 7 (i.e. {tex}{36 \over 6} and {42\over 6}{/tex}) are 

{tex}{37 \over 6}, {38\over 6}, {39\over 6}, {40\over 6}, {41 \over 6}{/tex}

  • 2 answers

Dera Nguki 7 years, 8 months ago

Express 1.27 in form of p/q

Rupender Singh 8 years, 8 months ago

To find 5 rational number between 5 & 6, we can write them with denominator 5 + 1 = 6

{tex}5 = {30 \over 6}{/tex}and 

{tex}6 = {36 \over 6}{/tex}

Thus, 5 rational no. between 5 & 6 (i.e. {tex}{30 \over 6} and {36 \over 6} {/tex}are

{tex}{31 \over 6}, {32 \over 6}, {33 \over 6}, {34 \over 6}, {35 \over 6}{/tex}

  • 1 answers

Payal Singh 8 years, 8 months ago

Solution : 1 + 1 = 2

  • 1 answers

Payal Singh 8 years, 8 months ago

Solution : {tex}{4-3\sqrt 2\over 4+3\sqrt 2}{/tex}

Rationalise it denominator,

{tex}= {4-3\sqrt 2\over 4+3\sqrt 2} \times {4-3\sqrt 2\over 4-3\sqrt 2}{/tex}

{tex}= {(4-3\sqrt 2)^2\over( 4)^2-(3\sqrt 2)^2}{/tex}   using (a+b)(a-b) = a- b2

{tex}= {16-24\sqrt 2 + 18\over 16-18} {/tex}

{tex}= {34-24\sqrt 2\over -2}{/tex}

{tex}= {-17 +12\sqrt 2}{/tex}

  • 1 answers

Naveen Sharma 8 years, 8 months ago

Ans. 

Let age of brother = x

Age of sister = y

According to question,

{tex}=> {x\over y} = {3\over 2}{/tex} => 2x = 3y

=> 2x - 3y = 0

Required Linear Equation

 

  • 1 answers

Naveen Sharma 8 years, 8 months ago

Ans. Let radius of first cylinder = 2x

Height of first cylinder = 5y

Volume of first cylinder = {tex}\pi \times (2x)^2\times 5y = 20\pi x^2y{/tex}

Curved surface area of first cylinder = {tex}2\pi\times 2x\times 5y = 20\pi xy{/tex}

Radius of 2nd cylinder = 3x

Height of 2nd cylinder = 3y

Volume of 2nd cylinder = {tex}\pi (3x)^2 \times 3y = 27\pi x^2y{/tex}

Curved surface Area of 2nd cylinder = {tex}2\pi\times (3x)\times 3y = 18\pi xy{/tex}

Ratio of Volume = {tex}20\pi x^2y\over 27\pi x^2y {/tex}= 20:27

Ratio of CSA = {tex}20\pi xy\over 18\pi xy{/tex}= 10:9

  • 1 answers

Rashmi Bajpayee 8 years, 8 months ago

Using Heron's formula

s = (35 + 54 + 61)/2 = 75 cm

Area of trianlge = {s(s - a)(s - b)(s - c)}1/2 

= {75(75 - 35)(75 - 54)(75 - 61)}1/2 

= {75 × 40 × 21 × 14}1/2 

= 210√10 sq.cm

Now Area of triangle = 1/2 × base x altitude

210√10 = 1/2 × 35 × altitude

Altitude = 12√10 cm

  • 1 answers

Jd Shukla 8 years, 8 months ago

See,for x=0 and y= 0 the x axis and y axis are representators of the equations. and the area enclosed is 4.5 units2

 

  • 1 answers

Anjana Krishnan 8 years, 8 months ago

The sum of measures of the interior angles of a polygon is (n - 2)180  and the sum of the exterior angles of a polygon is always 360degree.

  • 1 answers

Renu Yadav 8 years, 8 months ago

He'll

This is a simple answer what we have to do is

1800 - 1600 = 200

So, 3200 + 200 = 3400

Thanks

  • 1 answers

S C 8 years, 8 months ago

As per Theorm 9.1 their areas will be equal.

ratio - 1:1

  • 2 answers

Lalit Boxer 4 years, 11 months ago

identify the solids in the given figure pqrst

Mohit Sharma 7 years, 10 months ago

(i)Triangles on the same base and between same parallels are equal in area.

Given: PQRST is pentagon. TX || SP And RY || SQ (Please refer to the attachment)

RTP: ar(PQRST) = ar(SXY)

Proof:
ΔSPX and ΔSPY are triangles on the same base SP and between same parallels TX and SP because TX || SP

Therefore, ar(ΔSPX) =ar(ΔSPT)


ΔSPX and ΔSPT are triangles on the same base SP and between same parallels TX and SP (Given: TX || SP)

Therefore, ar(ΔSPX) =ar(ΔSPT)


ΔSQY and ΔSQR are triangles on the same base SQ and between same parallels RY and SQ (Given: RY || SQ)

Therefore, ar(ΔSQY) =ar(ΔSQR)

And,
ar(ΔSXY)
=ar(ΔSPX) + ar(ΔSQY) + ar(ΔSPQ)


ar(PQRST)
= ar(ΔSPT) + ar(ΔSQR)+ ar(ΔSPQ)
Plug in ar(ΔSPT)=ar(ΔSPX) and ar(ΔSQR)=ar(ΔSQY):
=ar(ΔSPX) + ar(ΔSQY) + ar(ΔSPQ)
=ar(ΔSXY)


Therefore, ar(PQRST) = ar(SXY) (Proved)
  • 1 answers

Shivanshu Nema 5 years, 10 months ago

theorem 10.8
  • 2 answers

Jd Shukla 8 years, 8 months ago

can we make equation,x+y=18

Naveen Sharma 8 years, 8 months ago

Ans. Let Hydrogen = x

Oxygen = y

Then According To Ques.

{tex}=> {x\over y} = {2\over 1}{/tex}

=> x = 2y

=> x - 2y = 0

Required Equation.

If y = 6

then x - 2(6)= 0

=> x - 12 = 0

=> x = 12

Hydrogen = 12 g

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Let O is center of circle. AB is chord. 

So OA is radius. Draw OM perpendicular to AB. 

We Know perpendicular from center to the chord bisects  it. 

So AM = 4cm

Now, In triangle OAM

=> OA2 = AM2 + OM2 .....(Using Pythagoras)

=> 25 = 16 + OM2

=> OM= 9

=> OM = 3

Distance of chord from center is 3 cm

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Deepika gave piece of cloth of area 551m2. Using this cloth she makes a conical tent of radius 7 m and during this process 1mof cloth got wasted.

Therefore, tent is made from cloth of area = 551m2 - 1 m2 = 550 m2

The above area being the curved surface area of the tent.

Now, we know that curved surface area of cone ={tex}\pi rl{/tex}

{tex}=> {22\over 7}\times 7\times l= 550{/tex}

=> l = 25m

We know, 

{tex}=> l^2 = r^2+h^2{/tex}

{tex}=> 625 = 49 + h^2{/tex}

=> h= 576

=> h = 24

Volume of conical tent = {tex}{1\over 3}\pi r^2h{/tex}

{tex}=> {1\over 3} \times {22\over 7}\times 49\times 24 {/tex}

=> 1232m3

 

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Lateral Surface Area of Cube = 4a2

Volume of cube =a3

Where a is side of cube.

  • 2 answers

Jd Shukla 8 years, 8 months ago

The most simpliefied answer is X'/2(a+1/a)

Jd Shukla 8 years, 8 months ago

z'=1/2n(nX')(a+1/a)

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. 

Length of rectangular sheet = 16cm

Breadth of rectangular sheet = 3.5cm

When we rotate a rectangle about its one side, the solid thus formed is cylinder.

height of cylinder formed = 16cm

Radius of cylinder formed = {tex}{3.5\over 2\pi}{/tex}

Total Surface Area of cylinder = {tex}2\times \pi \times{ 3.5\over 2\pi}\times 16= 56cm^2{/tex}

 

  • 1 answers

Arnol Jamatia 4 years, 9 months ago

if the non parallel sides of a trapezium are equal prove that it is cyclic

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