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71401.

1 9 1216 249. Factorise: 27x

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hit like if you find it useful

71402.

\frac { 9 \pi } { 8 } - \frac { 9 } { 4 } \operatorname { sin } ^ { - 1 } \frac { 1 } { 3 } = \frac { 9 } { 4 } \operatorname { sin } ^ { - 1 } \frac { 2 \sqrt { 2 } } { 3 }

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71403.

Average Temperature (°F110°F9070301950200010Spring Summer Fall WinterC. Which seasons show an increase intemperature from 1950 to 2000?D. Which seasons show a decrease intemperature from 1950 to 2000?

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(c)spring and summer (d) fall

71404.

mple 11. A rectangular paper of length 66 cm and breadth 14 cm is rolled into a cylindealong the length. Find the total surface area and volume of the cylinder.lindo long the length, the denth of the paper

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Solution :-

Given : Length of the rectangular sheet = 66 cm

And, Width of the rectangular sheet = 14 cm

As we know that,

length of the rectangular sheet = circumference of the circle

Circumference of the circle = 2πr

⇒ 66 cm = 2*22/7*r

⇒ r = (66*7)/(22*2)

⇒ r = 10.5 cm

Capacity or volume of the cylinder =πr²h

⇒ 22/7*10.5*10.5*14

⇒ 22/7*110.25*14

⇒4851 cm³

Hence, the capacity or the volume of the cylinder is 4851 cm³.

71405.

घक कि 9z (€)¥E (2) 29 (1){§lnk bop 3013 kB 2 EpI2E Lk fie B B BIK© ‘s 3l OF b b b2 e 12Tkil 1 e © b9E Sh b b b 6V

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x*y= 1210x+y+36= 10y+x10x+y+36-10y-x= 09x-9y= -36x-y= -4x= y-4y(y-4)= 12y^2-4y-12= 0y^2-6y+2y-12= 0y(y-6)+2(y-6)= y+2=oand y-6= 0y= 6x= 226 व संख्या है

71406.

{ U2 पा 8 से ०५, हकडिक ४ bk b ‘2 1% bk |3 kb KleGB] B 2k & Bt hit dh ke bele Sh"B ६ >फ्य 13 Pk 1D ki kbl lBa)ke 5] 01 h ke bl kbl bhB Wb kb 97

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15 daysbecause there is when 1person left half

71407.

4. From a rectangular sheet of paper of length 28cm and width 14 cm, two semicircles ofdiameter 14 cm have been removed, as shownin the figure. Find the area of the remainingsheet of paper.28 cm14cm

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Area of rectangle=l*b=28*14=392cm^2Semicircle area=πr^2/2=22/7*7*7/2=11*7=77cm^2hence 2 semicircle =77*2=154cm^2hence area shaded is 392-154=238cm^2

71408.

Triangle ABC is right angled at A. Also AB=ACand the bisector of angle C intersects the side ABat D. Prove that AC+AD=BC

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71409.

A EXERCISE 5.2Semi Classical30%A survey was made to find the type of musicthat a certain group of young people liked ina city Adjoining pie chart shows the findingsof this surveyLighsClassical0%From this pie chart answer the followil musicx Ti20 people liked cmany young people were surveywhich type of music is liked by the\maximum numberofpeople?elirt%(ii)Folk30%(m) If a cassette company were to makeNo. of votesSe1000 CD's, how maný of each typewould iltey make?Summer90

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71410.

An automobile company uses three grades of steel G-1, G-II, and G III for producing threemodels of car M-1, M-II and M-III. The steel requirement (in tons) for each model of car isgiven below:Car TypeM-IIIM-II3SteelGradeG1G-IIG-IIIM-I21321Determine the number of cars of each type which can be produced using 29, 13 and 16 tonsof steel of three types respectively,

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71411.

TUTelaimder is I4. The product of two consecutive odd numbers is6723. What is the greater number?(a) 85 (b) 93(c) 95(d) 83

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From which book have you taken this question? Please tell us so that we can provide you faster answer.

71412.

72. What are the two consecutive numbers after5009?(A) 50010, 50011(B) 5010, 5020(C) 5010, 5011(D) of these

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5009, 5009+1=5010, 5101+1=5011 (C) 5010,5011

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71413.

A19.) If the difference of two consecutivenumber is 15 and greater of them is xthen the smaller number is:a) 16b) 14c) 8d) 7MT) BY-

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The question is wrongThe difference between 2 consecutive numbers is always 1 and never be 15It should be the sum of 2 consecutive numbers is 15Therefore the answer will beLarger number = xSmaller number = x-1x + x - 1 = 152x - 1 = 152x = 15+12x = 18therefore x = 8smaller umber = 7larger number = 8

71414.

) The total cost of one chair and one table is900. If the cost of the tabledouble than the cost of chair, find the cost of both.

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Let cost of chair be x and table be y

According to question

x + y = 900

y = 2x

So, solving we get

3x = 900

x = 300

Therefore, y = 600

Cost of chair 300 and table is 600

Thanks

71415.

*Ex. 1.7.5 : #ff(x) = x2 +1, find the value of f(2)MSBTE : Nov.

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f(3√2) = (3√2)3+1 = 2 to the power 1/3 ×3 +1=3 (ans)

71416.

mple 2:A Rectangular piece of paper 11 cm4 cm is folded without overlapping tmake a cylinder of height 4 cm. Finthe volume of the cylinder.

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71417.

ormple 13:BL.and CM are medians of aangle ABC right angled at A. Prove that4 (BL' + CM) = 5 BC?

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71418.

Without actual expansion, prove that the following!(8-10) determinants vanish:2 7 6513 8 75.5 986(N.C.E.R.T.)aь сa-bb-cc-aPь са(H.B. 2011)

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0 is the right answer of the following

71419.

2. Which one is greater? Give reason- a) 4 feet or 44 inchc) 64oz or 3lb 6oz

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a)to convert feet into inches multiply by 12so,4feet=4*12 inches =48 incheshere when we compare 4feet to 44inch4feet is greater than 44 inch

b)To convert ounce to pounds1 ounce (oz) is equal to 0.0625 pounds (lb).

1 oz = (1/16) lb = 0.0625 lb64oz=(64/16)lb=4lb

so,after comparing 64oz and 3lb 6oz64 oz is greater .

71420.

Find the HCF of the following numbers:(a 48, 48 (b) 30, 42 (c) 18,60 (d)27,63(e) 36, 84 (f)34,102 (g)70,105,175(h) 91, 112, 49 (i)18,54, 81 (j) 12,45,75

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71421.

Exaatst-6% . А /EXERCISE 2.31ン/Find the remainder whenX +3' + 3x + 1 is divided bySol1-Sc1l) x1.3b)(iv) x + π..

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71422.

D.What per cent is1.95 paise or 10?2. 18 hours of 3 days?3. 160 g of 2 kg?4.147 mL of 2 L 450 mL?

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71423.

4 kg of rice is equal to the price of 9 kg of wheat if the price of20, what is the total cost of 8 kg of nce and 9 kg of wheat.(2) 360 (3) 450 (4) 540, eat is

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Answer: 4) 540RsExplanation:

Price of 1kg of wheat = Rs.20So, Price of 9kg of wheat = 20*9 =180. rice.

Given,Price of 4 kg of rice = price of 9kg of wheat =Rs.180

Price of 8Kg of rice = 2*Price of 4 kg of rice => 180*2 =360.

Price of 8Kg of rice =360 andPrice of 9Kg of wheat=180

Adding,

Rs.180+Rs.360we get,Rs.540.

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71424.

I. Determine which of the following equations are exathe ones that are.Y)(x+y+1) dr + (x-y2 + 3) dy-0

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Compare with Mdx + Ndy form

d(x + y + 1)----------------- = 1 dy

d( x - y² + 3)------------------- = 1 dx

So, exact

71425.

3.square. Also, find square root of the number so obtainedFind the greatest number of six digits which is a perroot of this number.of six digits which is a perfect square. Find the square Novinct sauaExa

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71426.

Find the perimeter of a rectangle whose sides are:(a) 5 m and 3 m (b) 10 m and 8 m (c) 58 cm and 2.2 cm (d) 5cm and 3cm

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a) 2(5+3)=2*8=16mb) 2(10+8)=2*18=36mc) 2(5.8+2.2)=2(8)=16md) 2(5.5+3.5)=2(9)=18m

(a)given length=5mbreadth=3m then formula for perimeter of rectangle is 2(L+B) so we have both length and breadth then 2(5+3) =2×8 =16msquare therefore perimeter of rectangle is 16m square

now similarly you can solve other b c and d.

71427.

mple 4. Evaluate the following:Near +2x+3) dx

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hi hloooooo hihihihi

71428.

59 =न हि. Y= —Qw G ™ 41 2७0 ¢ ला. हज गाए 16/| =

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71429.

nto g.2.6.17 kg4kg 15 ginto mg.2. 1086. 3g58 mgMathematics-4

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2. 1700gms6. 4015gms2. 1000mg6. 358hmg

1kg=2kg.4kg15kg5g36g89kg

71430.

Solve the following quadratic equ(1) 9 -12

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9x² - 12x + 4 = 0 9x² - (6+6)x + 4 = 09x² - 6x - 6x + 4 = 03x(3x - 2) - 2(3x-2) =0(3x-2)(3x-2)=0x=2/3 ,2/3 answer

its factors will be1stX=2/32ndX=2/3

71431.

10. What percent of 2 Kg 450 g is 735 g?a. 505b. 40%c. 35%d. 30%

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71432.

xample 122 The radii of the ends of a frustumof a cone 45 cm high are 28 cm and 7 cmsee Fig. 13.21). Find its volume, the curvedsurface area and the total suface area28 cm45 cm(Take π=Solution : The frustum can be viewed as a dif-ference of two right circular cones OAB andOCD (see Fig. 13.21). Let the height (in cm)of the cone OAB be h, and its slant height,ie, OP = hi and OA = OB-11. Let h, be the

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71433.

This givesExample 3 : PQ is a chord of length 8 cm of a circle ofradius 5 cm. The tangents at P and Q intersect at a point(see Fig. 9.10). Find the length TP.Solution : Join OT. Let it intersect PQ at the point R. Thernf / PTO

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Given radius, OP = OQ = 5 cmLength of chord, PQ = 4 cmOT ⊥ PQ,∴ PM = MQ =4 cm [Perpendicular draw from the centre of the circle to a chord bisect the chord]In right ΔOPM,OP²= PM²+ OM²⇒ 52= 42+ OM²⇒ OM²= 25 – 16 = 9Hence OM = 3cmIn right ΔPTM,PT²= TM²+ PM²→(1)∠OPT = 90º [Radius is perpendicular to tangent at point of contact]In right ΔOPT,OT2²= PT²+ OP²→(2)From equations (1) and (2), we getOT²= (TM²+ PM²) + OP2²⇒ (TM + OM)²= (TM²+ PM²) + OP²⇒ TM²+ OM²+ 2 × TM × OM = TM²+ PM²+ OP²⇒ OM²+ 2 × TM × OM = PM2+ OP²⇒ 32+ 2 × TM × 3 = 42+ 52⇒ 9 + 6TM = 16 + 25⇒ 6TM = 32⇒ TM =32/6 = 16/3Equation (1) becomes,PT²= TM²+ PM² = (16/3)2+ 42 =(256/9) + 16 = (256 + 144)/9 = (400/9) = (20/3)2⇒PT = 20/3∴the length of tangent PT is(20/3) cm

71434.

ring student. was asked to make a model shaped like a cylinderC. Letfroma5. Mayank, an engineeringwith two cones attached at both ends withissurface area of the model. (-3.14)thin film-sheet. The radius of the modeltotal height is 13 cm. If each cone has height 3 cm, find the totalaxis

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71435.

focus tu w = [or-8-75

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52-[8-20]=52-[-12]=52+12=64

52(8-20)= 52×12=-624

52-[-8-20]52-[-12]52+12 64

52 -(8-12)=52-(-4)=52+4=56

52-[8-20]52-[-12]52+1264

52-(8-20)52-(-12)52+1264

52-[8-20]=52-[-12]=52+12=62answer is 63

52- (8-20)=52-(-12)=52+12=64

52(8-20)=52*(-12 )=-624=

52-[8-20]=52-8+20=64

the correct answer is sixthy four (64)

52-(8-20)=52-(-12)=63 ans

52-( 8-20) 52-(-12) 52+12-64

52 - (8-20) =52+12=64

52(8-20)=52*12=624.

52-[8-20]= 52-[-12]52+12=64

(8-12)=-1252-(-12)=64

-64 is the right answer

sixty four 64 gfgchvbbbbb

the right answer is 64

64.......................

64 will be the answer by the rule

64 because -(-)= + so it must be positive

66.........is ur ans okayyy

[x] represent the greatest integer function, i.e., an integer less than or equal to x

52-[8-20]=52-[-12]=52+12=64

52-(8-20)52-(-12)52+1264

64 is the answer

=52-(8-20)=52-(-12)=52+12=64 answer

64 is right answer....

q,.................................

52-[8+20]52-8+20=64

64 iska sahi answar hoga

71436.

1. Tule15 PICINCH PEC13. Find the marked price when selling price is 7200 and discount is 10%.

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7200×10/100=720rsmarked price=7200-720=6480rs

=6480 is the right answer

7200×10/100=720 Rs.marked price=7200-720=6480 Rs. answer.

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.

71437.

A cuboid shaped slab of iron whose dimensions are 55 cmx40cmx15 cm is melted and1 cm respectivelyrecast into a pipe. The outer diameter and thickness of the pipe are 8 cm andFind the length of the pipe. ( Take ╧А-22 )

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cubical shaped iron slab length=55 cmbreadth=40 cmheight=15 cmnow slab melt and form pipe outer radius of pipe=8cminner radius =(8-1)=7cmlength=?now volume of iron slab =volume of cylinder pipe => 50 x 40 x 15 =pi. {R^2-r^2}.h=> 50 x 40 x 15 =22/7 x (64-49) x h=> 50 x 40 x 15 =22/7 x 15 x hh= 50 x 40 x 15*7/22*15 cm=90.90cm^3

71438.

.ilee girls Reshma, Salma and Mandip areplaying a game by standing on a circle of radius5m drawn in a park. Reshma throws a ball toSalma, Salma to Mandip, Mandip to Reshma. Ifthe distance between Reshma and Salma andbetween Salma and Mandip is 6m each, what isthe distance between Reshma and Mandip?

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71439.

A cuboid shaped slab of iron whose dimensions are 55 cmx40cmx15 cm is melted andrecast into a pipe. The outer diameter and thiekness of the pipe are 8cm and I am respectively.Find the length of the pipe. ( Take π = 22/7 )

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Given,cubical shaped iron slab length=55 cmbreadth=40 cmheight=15 cmnow slab melt and form pipe outer radius of pipe=4cminner radius =(4-1)=3cmlength=?now volume of iron slab =volume of cylinder pipe => 50 x 40 x 15 =pi. {R^2-r^2}.h=> 50 x 40 x 15 =22/7 x (16-9) x h=> 50 x 40 x 15 =22/7 x 7 x hh= 50 x 40 x 15/22 cm=1363.63 cm

71440.

TU.decimal?(2) 3 (6) % (6) 64655Sol" (c) 6455Additional Questions & Ans1. Prove that 243 is irrational :Sole Let 2y3 – x, where x is a rational number= 2.13 = Sx = 13 – SP -As x is a rational number, so 5 is ratio.. 13 is also rational, which is a contradicti53

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yes it is a rational number because as it is placed with rational number it becomes rational number

let to root 3 by 5 is equal to x where x is a rational numbers to root 3 equal to 5 x root 35 x by 2 equal to 1 as a x is a rational number show 5 x by 2 is rational root 3 is irrational has which is contract act as a root 3 is a rational root 2root 3is irrational

71441.

1. The area of a triangle is 90 cm2. If its base is Tu2. Find the base of a triangle whose area is 0.48 dm2 and altitude is 8 cm.hose hnotenuse is 13 cm and one side is 5cmLetRe

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71442.

. Three girls Reshma. Salma and Mandip areplaying a game by standing on a circle of radius5m drawn in a park. Reshma throws a ball toSalma, Salma to Mandip, Mandip to Reshma. Ifthe distance between Reshma and Salma andbetween Salma and Mandip is 6m each, what isthe distance between Reshma and Mandip

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71443.

5. Three girls Reshma, Salma and Mandip areplaying a game by standing on a circle of radius5m drawn in a park. Reshma throws a ball toSalma, Salma to Mandip,Mandip to Reshma fthe distance between Reshma and Salma andbetween Salma and Mandip is 6m each, what isthe distance between Reshma and Mandip?WI

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71444.

5. Three girls Reshma, Salma and Mandip areplaying a game by standing on a circle of radius 5mdrawn in a park. Reshma throws a ball to Salma, Salmato Mandip, Mandip to Reshma. If the distance betweenReshma and Salma and between Salma and Mandip is6 m each, what is the distance between Reshma andMandip ?

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71445.

Three girls Reshma, Salma and Mandip areplaying a game by standing on a circle of radius5m drawn in a park. Reshma throws a ball toSalma, Salma to Mandip, Mandip to Reshma. Ifthe distance between Reshma and Salma andbetween Salma and Mandip is 6m each, what isthe distance between Reshma and Mandip?

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can i get any other method to solve this problem

71446.

TU...2. At Srinagar temperature was -5°C on Monday and then it droppedby 2°C on Tuesday. What was the temperature of Srinagar on Tuesday?On Wednesday, it rose by 4°C. What was the temperature on thisday?

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temperature is -7°C on tuesday & it is -1°C on wednesday

Temperature on Tuesday = -7Temperature on Wednesday = -3

Temperature on tuesday=-7Temperature on wednesday =-3

71447.

The external diameter of a cylindrical shaped iron pipe is 25 cm and its length is 20 cm.If the thickness of the pipe is 1 cm find the total surface area of the pipe.

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71448.

TU13. If 9 is added to a certain number, the result is 36. Find the number.

Answer»

The right answer is 27.

Suppose,the number = x,then,according to the question,x + 9 = 36,Or,x = 27,so,the number = 27.

27 is right answer of this question

71449.

ces markedhe coldestnagar?8. Verify a -(-6)= a + b for the following values of a and b.(1) a= 21, b = 18for a = 118, b = 125(iii) a = 75, b = 84(iv) a = 28, b = 119. Use the sign of >, < or = in the box to make the statements true(a) (-8) + (-4)(-8)-(-4)(b) (-3) + 7 -(19)15 - 8+(-9)(c) 23 - 41 +11 G 0 23-41 - 11marks are (D 39+(-24) -(15) Nre 25.-1.36 + (-52)-(-36)(e) - 231 + 79 + 51 N -399 + 159 +8110. A water tank has steps inside it. A monkey is sitting on the topmmenit de step). The water level is at the ninth step.ar on Tu (1) He jumps 3 steps down and then jumps back 2 steps up.ris less theinagar?

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71450.

243.3is a paint2he tuern tu

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thanks