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78651.

If 22.5 metres of a uniform iron rod weighs 85.5 kg, what will be the length of 22.8 kg of thesame rod?

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78652.

.22.5mofa untform iron rod weighs 85.5 kg, what will be the weight of 5 m of thesame rod?

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78653.

L) I of these6 : 7 and B : C = 21 : 15, then find A: C.(B) 2:5(D) 5:2(A) 5:6(C) 6:5(E) of these

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A:B = 6:7

multiplying by 3, we get

A:B = 18:21

so A:C = 18:15

78654.

423.How many pieces of tape 3 7cm long can be cut from a long tape, which is 1 metre 75 cm

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3 4/7 =25/7

1m75cm=175cm

175÷25/7

175×7/25

7×7 =49 pieces

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78655.

3. The top40 A carpet is 30 m 75 cm long alilcan be made out of a sheet of paper 3 m 24 cm by 1 m 72 cm,piece of paper of size 18 cm by 12 cm?5 How many envelopes can be made out of a sheenvelope requires an 12 5 m long and 8 m wide. A square carpet of side 8 m is latd on its floor. Fhnd

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78656.

\left| \begin{array} { c c c c } { 21 } & { 17 } & { 7 } & { 10 } \\ { 24 } & { 22 } & { 6 } & { 10 } \\ { 6 } & { 8 } & { 2 } & { 3 } \\ { 6 } & { 7 } & { 1 } & { 2 } \end{array} \right|

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78657.

11 b + c 2² + c²|2726. fhet allery for: 1 cta c2 + a² = (a - b)(b-c)(c-a).Il a+b a² +6² |(c-a). (CBSE)C.

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answer this question

78658.

4 \text { If } \left[ \begin{array} { c c c } { x + 3 } & { z + 4 } & { 2 y - 7 } \\ { - 6 } & { a - 1 } & { 0 } \\ { b - 3 } & { - 21 } & { 0 } \end{array} \right] = \left[ \begin{array} { c c c } { 0 } & { 6 } & { 3 y - 2 } \\ { - 6 } & { - 3 } & { 2 c + 2 } \\ { 2 b + 4 } & { - 21 } & { 0 } \end{array} \right]

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78659.

(vii) If a 2b 3c, then a: b c(a) 6:3:2(b) 3 : 6: 2(c) 2 6:3(d) 6:23

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78660.

I.Solve the following pairs of equations by reducing them to a pair of linear equationsIl(1) 2x 3y1I 133x 2ĐŁ

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78661.

4Solve the following linear equations

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2(x+1)/3 = 3(x -2)/5

10(x + 1) = 9 ( x - 2)

10x + 10 = 9x - 18

10x - 9x = - 18 - 10

x = -28

78662.

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the thirdside. (Using converse of basic proportionality theorem)

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how can you say PQ parallel to BC

78663.

ta) 180 em1U. An iron beam is 9 m long, 40 cm wide and 20 cm high. If 1 cubic metre of iron weighs 50 kgwhat is the weight of the beam?a) 56

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78664.

Question 4offind a lactor ofx" + 6x2 + 11x +y factor theorem. Hense factorise it completely

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78665.

e measuring tapes are 40 cm, 50 cm and 75 cm long. Find the least length (in metres)of cloth that can be measured by the full length of eachu oy the full length of each of these tapes.

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78666.

5. An oil funnel made of tin sheet consists of a .10 cm long cylindrical portion attached to afrustum of a cone. If the total height is 22 cm.diameter of the cylindrical portion is 8 cm andthe diameter of the top of the funnel is 18 čm,find the area of the tin sheet required to makethe funnel (see Fig. 13.25).22 cm10 cm8 cmFlg, 13.2

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78667.

noiimcc,wide andipdeep18 cm5. An oil funnel made of tin sheet consists of a、 10 cm long cylindrical portion attached to afrustum of a cone. If the total height is 22 cm,diameter of the cylindrical portion is 8 cm andthe diameter of the top of the funnel is 18 cm,find the area of the tin sheet required to makethe funnel (see Fig. 13.25).22 cm10 cFig, 13.25

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78668.

prove that the points (3,0),(64)and (-1,3)are the vertices of a right angled isosceles triangle.

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thank you my dear friends

78669.

The acute angle between the medians drawn from the acute angles of a right angledisosceles triangle is

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angle of 90°right angle

78670.

6, ABC is a right angled isosceles triangle. What will be the measure of the other twoangles?

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78671.

Show that the points A(1, 2), B(1, 6), C(l +2√3,4) are vertices of an equilateraltriangle.

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78672.

rove that in a right angled triangle square of the hypotenuse is equal to sum of the squaresof other two sides.

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78673.

Prove that in a right angled triangle square of the hypotenuse is equal to sum of the squaresof other two sides.

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Given:

A right angled ∆ABC, right angled at B

To Prove- AC²=AB²+BC²

Construction: draw perpendicular BD onto the side AC .

Proof:

We know that if a perpendicular is drawn from the vertex of a right angle of a right angled triangle to the hypotenuse, than triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

We have

△ADB∼△ABC. (by AA similarity)

Therefore, AD/ AB=AB/AC

(In similar Triangles corresponding sides are proportional)

AB²=AD×AC……..(1)

Also, △BDC∼△ABC

Therefore, CD/BC=BC/AC

(in similar Triangles corresponding sides are proportional)

Or, BC²=CD×AC……..(2)

Adding the equations (1) and (2) we get,

AB²+BC²=AD×AC+CD×AC

AB²+BC²=AC(AD+CD)

( From the figure AD + CD = AC)

AB²+BC²=AC . AC

Therefore, AC²=AB²+BC²

This theroem is known as Pythagoras theroem...

78674.

8. For what values of k will the following pair of linear equations have infinite number ofsolutions : kx + 4yk-4 and 16x + kyk.

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78675.

26. State and prove Basic Proportionality theorem and hence show that the diagonals of atrapezium divide each other proportionally.

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78676.

prove the converse of basic proportionality theorem, do the followingactivity:(i) Draw neat labelled figure.(ii) Write : Given and To prove.

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78677.

ion-4LFrind a factor of ex i br factor theorem Herlse factorise it completely

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78678.

an open box is made up of metal .It is 50 cm long 40 cm broad and 23 cm heigh the thickness of metal 0.5 gram then what is weight of empty box

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Volume of the metal used in the box = External Volume - Internal Volume = [(50 * 40 * 23) - (44 * 34 * 20)]cm3= 16080 cm3Weight of the metal =((16080*0.5)/1000) kg = 8.04 kg.

78679.

deep18 cm5. An oil funnel made of tin sheet consists of a10 cm long cylindrical portion attached to afrustum of a cone. If the total height is 22 cm,diameter of the cylindrical portion is 8 em andthe diameter of the top of the funnel is 18 cm,find the area of the tin sheet required to makethe funnel (see Fig. 13.25).10-U22 em

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love youthanks

78680.

Divide 40 into two parts so that ten times one of the parts exceeds nine times the other by one

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suppose parts are x and y x + y = 40 10x = 9y + 1 10x + 10y = 400 9y + 1 + 10y = 400 19y = 399 y = 21 so x = 19

78681.

Two different dice are tossed together. Find the probability(i) of getting a doublet(ii) of getting a sum 10, of the numbers on the two dice.

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Given that two different dice are tossed.

Total number of outcomes = 6^2

= 36.

(1) Let A be the event of getting a doublet.

n(A) = {1,1},{2,2},{3,3},{4,4},{5,5},{6,6}

= 6.

Required probability P(A) = 6/36

=1/6.

(ii) Let B be the event of getting a sum of 10 of the numbers of two dice.

n(B) = {6,4},{4,6},{5,5}

= 3.

Required probability P(B) = n(B)/n(S)

= 3/36

=1/12

78682.

Two different dice are tossed together. Find the probability:(i) of getting a doublet(ii) of getting a sum 10, of the numbers on the two dice.

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1)There are a total of 36 possibilities :

{ (1,1), (1,2), (1,3), (1,4), (1,5),(1,6) (2,1)(2,2)… …..(6,5) (6,6)}

The doublets among these are (1,1), (2,2),(3,3)(4,4),(5,5),(6,6)

So the probability of getting a doublet is :

No. Of doublets / total no. of outcomes =6/36=1/6

2)Let B be the event of getting a sum of 10 of the numbers of two dice.

n(B) = {6,4},{4,6},{5,5}

= 3.

Required probability P(B) = n(B)/n(S)

= 3/36

= 1/12

78683.

IIProve that the area of an equilateral triangle deseribed on a side of a right angled isoscelestriangle is half the area of the equilateral triangle described on the hypotenuse.

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78684.

The side of an equilateral triangle is shown by I. Express theperimeter of the equilateral triangle using l.

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78685.

G-22gr 可(Theorem) 6LIfa perpendicular is drawn from the vertex containing the right angle of a right trianha triauale an hath sides of the perpendicular are similar[Th

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Proof:

In ∆ ADB and ∆ ABC

A= A ( commom )

ADB = ABC ( each 90°)

Hence. ∆ ADB ~ ∆ ABC ( BY AA ) .……...(1)

similarly :

In ∆ BCD & ∆ ABC

C= C ( common )

BCD = ABC ( each 90°)

hence

∆ BCD ~ ∆ ABC ( by AA).……..(2)

FROM eq. (1) and (2).

∆ ADB~∆ ABC & ∆ BDC ~∆ ABC .

NOTE: If one ∆ is similar to another and second ∆ is similar to third ∆

then first and third ∆ are similar

hence :∆ ABD ~ ∆ BCD

PROVED

78686.

ABC is an equilateral triangle. Taking BC asthe base, construct a right angled triangleequal in area to equilateral triangle ABC.(The side used as the base should not be onearm of the right angle)8.

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see the base should not be used as one arm of the right angle

bc should be the hypotenuse

78687.

, 0 For which values of a and b does the lollowinfinite number of solutions?2x + 3y=7

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The pair of linear equations represented by these lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0

For infinite many solutionsa1/a2 = b1/b2 = c1/c2

Given equations2x + 3y - 7 = 0(a-b)x + (a+b)y - (3a + b - 2) = 0

Then, 2/(a-b) = 3/(a + b) = 7/(3a + b-2)

2(a + b) = 3(a - b).......(1)3/(a+b) = 7/(3a + b - 2).......(2)2a + 2b = 3a - 3ba = 5b

Put value of a = 5b in eq(2),We get3(3a + b - 2) = 7(a + b) 9*5b + 3b - 6 = 7*5b + 7b48b - 6 = 42b48b - 42b = 66b = 6b = 6/6 = 1

a = 5b = 5*1 = 5

78688.

0.10-If corresponding two angles and included sides of two triangles are equal, then this iscriterion of congruence(a) AAS(b) AAA(c) SASASA

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As given in question, two angles and a side are equal and mentioned that included side it must be ASA criterion

d) ASA is correct option

bhai mere doo or questions ka reply kar de

78689.

one chord are equal to corresponding segments of tie bi3.If two equal chords of a circle interjoining the point of intersection to the centre makes equal anglescle, prove that the lineh the chords.seet within the cirwit

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78690.

9)State "Basic proportionality theorem"6x1-6

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78691.

Factorise -6x2+ 5x-6 by Factor Theorem

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78692.

(C) 3rd isomorphism theorem(D) Sylow's first theorem37, The order of he permai 237. The order of the permutation2 4 6 5 1 3)(A) 6(B) 4(C) 2(D) 838. If 'a' is an element of a group G, such that O(a) n then O(a)-

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write the order of the following surd 5

78693.

1kg oil is measured 1/220litre.how many litres are in 3kg 50 gram oil?

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78694.

: An open rectangular cistern when measured from outside is 1.35 mlong, 1.08 m broad and 90 em deep. It is made up of iron, which is 2.5 cmthick. Find the capacity of the cistern and the volume of the iron used.

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78695.

of dimensions 22.5 UI Dy IL U4. How many planks each measuring 5 m by 24 em by 10 em can be stored in a place 15 m long, r bigh If each student be given 1.6 m2 of the foor4 m wide and 60 cm deep?

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Volume of each plank= length*breadth*height=500*24*10 cm³=120000 cm³

Volume of place= length*breadth*height=1500*400*60 cm³=36000000

Number of planks= 36000000/120000=300

78696.

Express 0.32222222... in the form of p/q.

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78697.

52000 div 60\times 30 = ? times 40

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78698.

5. Acoin is tossed 20 times in which tail is obtained11 times. On tossing a coin at random, find theprobability of getting.(a) a tail(b) a head

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A tail= 11/20 A head = 11-20/20=9/20

78699.

Two different dice are tossed together. Find the probabilityG) of getting a doublet(ii) of getting a sum 10, of the numbers on the two dice.

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total outcomes of tossing 2 dices together=36i)total duplets=6probability=6/36=1/6ii)sum of 10(4 6)(5 5 )(6 4)=3probability=3/36=1/12

78700.

|(12) X' X7. સાદું રૂપ આપી કિંમત શોધો :(1) (79 x 73) : 78( 3 ) 310 - (33 x 36)( 5 ) (54)3 - 510(7) (23) : (2552( 9 ) (-2)6 x (-2) - (-258(11) (39)2 - 310| ( 2 ) (2 x 2) - 26(4) (2 - 24) x 22( 6 ) (215 - 212) - 2" ( 8 ) (27 x 2) + (252(10) [(–39213 - (-3)(12) 26 x 2 = (2255risi

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first ka answer hai 1

no 4s answer is (32÷16)*4=2*4=8

1 4 9 32125 124 8-36 -2011 12

1) 12) 23) 34) 85) 256) 27)48) -649) -4

Answer of first is 1

Answer 11= 225÷30=7.5

first ka answer 1 hai

191254-3611432128-2012

question 1 = 0question 2= 1question 3=2

ist ka ans 1, 2nd ka ans 2,3rd ka ans 3 hai

thanks to

exponential form then power add 5+3=7 8

question 1st answer is 1

first ka answer 1 he

ans1=1. ans2=2an3=3. ans4 =8an5=25. ans6=2an7=4. ans8=1an9=4. ans10=9an11=1. ans12=1

1. 12. 23. 34. 85. 256. 27. 48. 19. 410. 911. 112. 1please let me know if you require explanation to any of the answer