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| 70851. |
cylinder is 1.45 m and its radius is 30 cm. Find thesurface area of the bird-bath. (Take 7 )ation : Let h be height of the cylinder, and r themon radius of the cylinder and hemisphere. Then,otal surface area of the bird-bath CSA of cylinder+ CSA of hemisphereFig. 13.9-2 x2 x 30(145 +30) cm2- 33000 cm2 3.3 m2EXERCISE 13.12.tated othervise, take -cubes each of volume.64 cm are joined end to end. Find the surface area of tsulting cuboid.vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. |
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Answer» 1)Given, volume of each cube is 64 cm³⇒s³=64⇒s=∛64⇒s=4 cm.When two cubes are joined ,the length of the resulting cuboid(l) = side + side = 4+4 = 8 cmits breadth(b) = side = 4cmAnd its height(h) = side = 4cmTotal surface area of a cuboid = 2(lb+bh+hl)⇒TSA=2[(8)(4)+(4)(4)+(4)(8)]⇒TSA=2(32+16+32)⇒TSA = 2(80)⇒TSA = 160 cm²∴ The surface area of the resulting cuboid is 160 cm². |
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| 70852. |
What type of a lens is used as a magnifying glass? How is the object positionedwith respect to this lens? Draw the appropriate ray diagram7. |
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| 70853. |
Deepak Four-in-ne Revision Model Test PapersA straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car atan angle of depression of 30째, which is approaching the foot of theseconds later, the angle of depression of the car is found to be 60째. Find the time taken by the car toreach the foot of the tower from the point..tower with a uniform speed. Six |
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Answer» Let the distance traveled by the car in 6seconds=AB=X metresHeight of the tower CD=h metresThe remaining distance to be traveled by the car BC =d metresAC =AB+BC=x+d metresANGLE PDA=ANGLE DAC=30ANGLE PDB=ANGLE DB*C=60 TRIANGLE BCD TAN60=CD/BC=root3=h/dh=root3dTRIANGLE ACD TAN30=CD/AC1/root3=h/(x+d)h=(x+d)/root3(x+d)/root3=root3dx+d=3dx=2dd=x/2Time taken to travel x metres =6secondsTime taken to travel the distance of D metres i. e., x/2=6/2=3seconds |
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| 70854. |
50GALA MODEL gUESTION PAPERS: STANDARD 10NAVNE15. How many balls of radius 0.5cm can be prepared by melting a melinder ofradius 5cm and height 7cm?OR |
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| 70855. |
50GALA MODEL QUESTION PAPERS : STANDARD 1015. How many balls of radius 0.5cm can be prepared by melting a metal cylinder ofradius 5cm and height 7cm?OR1 ton If the height and |
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| 70856. |
A drinking glass is in the shape of a frustum of acone of height 14 cm. The diameters of its twocircular ends are 4 cm and 2 cm. Find the capacity ofthe glass. |
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| 70857. |
Area505Ex. 27. A wheel makes 1000 revolutions in covering a distance of 88 km. Find theradius of the wheel. |
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| 70858. |
5. The sum of two integers is278. If one of the integers is156, find the other |
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Answer» first integer 156 &second integer122 let the integer is xthen,-156 + x = -278x = -278 + 156x = 122 correct answer the answer will be -122 first integer 156 and second integer 122 let integers be x. =-156+x=-286. x=-286+156=-130 first integer 156 and second integr 122 hi hoga this is aright answer hai x + y = - 278- 156 + y = - 278y = 122 -122 is correct answer -156+x =-278 x= -278+156x=-122 first integer 156 second integer 278-156=122 let us consider the integer as xthen,-156+x=-278x=-278+156therefore,x=-122 correct answer The answer of this question is -122 let the integer is X, then --156+X=-278x=-278+156X=-122 ans iska answer mujhe nahi pata hai bhai log sorry First integer is 156 and second integer is 122 let the no. is x then sum of two no. is = x + (-156) = -278 x - 156 = -278 × = -278 + 156x = -122 first is 156 and second is 122 -122 is correct answer the sum of two integer is= -278 one of the integer is =-156the other is = -278 - (-156) = -122 The another integer is -122Therefore, -156+(-122)=-278 122 is the correct answer x should be 122 and integer x+(- 156)=- 278 x=- 278+156x=-122 (-++=- चिन्ह बड़ी संख्या का लगता है) the answer is 122 finally first integer 156 and second integer 122 let the integer is xthen,-156+x=-278x=-278+156x=-122first integer is -122 and second is -156 the sum of two I integers are=_278one of then is=_156let the integers be=× so,one is _156 and another is=×so,×_156=_278×=_278+156×=_122 let,the second integer be xa/q -150+x=-278or, x=-278+150or,. x=128 (-122) is the required answer. the answer will be -122 right answer |
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| 70859. |
Find the roots of the following quadratic equations, if they exist, by the method ofcompleting the square:(i)(ia)2x2-7x+3-04x2+4-13x + 3 = 0(i) 2x +x -4-0(iv) 2x +x+4 |
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| 70860. |
S8 2 0<x4<3जदाहरणा4. संबंध / f(x)={F "’ "°F*=A 3<x<10परिभाषित है।, 0<x<23x, 2<x<10। दर्शाइए कि क्यों / एक फलन है और & नहीं।हल : दिया है,संबंध g g(x)= | द्वारा |
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Answer» f falan hai kyonki har ek x ke lie unique ( alag) value prapat karta hai, example ke lie f ko x = 3 ke lie check kare to f (3) = 9 Par, g x = 2 par do value de sakta hai g ( 2) = 2² = 4 g(2) = 6 Jo ek falan ke definition ke virudh hai 388499+66935647390286 |
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| 70861. |
In the given fig., if AB I 1 DE, L BAC35° andCDE> 53°, findD53" |
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| 70862. |
In a non-leap year, the probability of having 53 7.Tuesdays or 53 Wednesdays is2(a)(c)ă(d) of theserom 1 to 20. Find the |
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| 70863. |
My mothey Sass n hey child hood petuday what pcentage has the picesetyol gone U |
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Answer» Original price = Rs.1New Price = Rs.65 Increase in price = 65-1 = Rs 64 Therefore, increase percentage =(Increase in price÷ Original price)×100=64÷1 × 100=6400% |
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| 70864. |
My mothert Says in hey child hood petrdthe priceey itse priceswhat pecentage hasof petvol gone up |
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Answer» Original price = Rs.1New Price = Rs.65 Increase in price = 65-1 = Rs 64 Therefore, increase percentage =(Increase in price÷ Original price)×100=64÷1 × 100=6400% |
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| 70865. |
yactice time:Ie10of yofyourfriends about what they like tohey like to do Number of childrenafter schoollatching TVPlaying footbalReading story books |
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| 70866. |
A circular cake has radius 12 cm and height 7 cm.The uniform cross-section of a slice of the cake is a sector with angle 22°The top and the curved surface of the slice, shaded in the diagram, are covered with chocolate.Calculate the area of the slice which is covered with chocolate. |
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| 70867. |
30.The radii of two circular endall of two circular ends of a frustum of a cone shaped dustbin are215 cm and 8 cm. If its depth is 63 cm, find the volume of the dustbin. |
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| 70868. |
11) 4 Cl(0 35 cmFind the circumference of a circle whose radius is given below(ii) 63 cm(iii) 1.4 m iv) 4.2 mn 12 6 cm |
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| 70869. |
e diameter of a wheel of a car is 63 cm. Find the distance travelled by the car during theill it make to travel 61608. Thperiod, the wheel makes 1000 revolutions. |
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| 70870. |
the roots of the following quadratic equations, if they exist, by the method ofcompleting the square:0 2r-7x +3 0()4x2 +4v3x+3 01.(ii) 2x2 +x4 0(iv) 2x2+x+4 0 |
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| 70871. |
ge No 278Discuss among your friendsi) sinx =-does exist for sonbe valueof angle x?ii) The value of sin A and cos A is al-ways less than 1. Why ?tan A is product of tan and A. (AS)iii) |
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Answer» i) No. Value of sin(x) always lies between -1 and 1. ii) tan A means tangent of angle A. |
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| 70872. |
tum) 11 + 3x = 17he equations, iven below:i) 2y = 18-) 12y - 30 - 62..8(11) the root of 3 + 2x = 9 is(iv) the root of 8 - 7y=1 is=4e is x = 2ations by the trial-and-error method:(iii) 4x = 28(iv)(vii) 2x - 3=9 (viii)= 10= 22-5ETHOD FOR SOLVING AN EQUA |
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Answer» iii)4x=28 x=28/4 x=7is the best answer vii)2x-3=9 2x=9+3 x=12/2 x=6is the best answer iii) x=7is the best answer. vii)x=6is the best answer. x=7&x=6is the answer to the question. |
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| 70873. |
73) +(53)73x73-73x53 +53x53(B)216(A) 126(C) 162(D)-126 |
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| 70874. |
11. Find the smallest square number which is completely divisible by each of the numbers 10, 16 and 24. |
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Answer» The PF of 10 is 2*5. 10 is not a perfect square, because 2 and 5 only appear once, and one is odd. The PF of 16 is 2*2*2*2. 16 is a perfect square, because 2 appears four times, and four is even. The PF of 24 is 2*2*2*3. 24 is not a perfect square, because 2 appears three times, and 3 appears once. Three and one are both odd numbers. Any multiple of 10, 16, and 24mustcontain each of their prime factorsat leastas many times as they appear in the numbers being multiplied. So for example, the LCM (least common multiple) of 10, 16, and 25 must contain four factors of 2 (since 2 appears four times in the PF of 16), one factor of 3 (since 3 appears once in the PF of 24, and nowhere else), and one factor of 5 (since 5 appears once in the PF of 10, and nowhere else. Here is the PF for the LCM of 10, 16, and 24: 2*2*2*2*3*5 = 240 But 240 isn’t a perfect square, since the factors 3 and 5 appear only once. If we multiply 240 by any other number, the result willstillbe divisible by 10, 16, and 24. And since the number we’re seeking has even numbers of prime factors, we can simply multiply 240 by 3*5 (or 15) to get the smallest perfect square that is divisible by 10, 16, and 24: 2*2*2*2*3*3*5*5 =3600. |
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| 70875. |
samantar Shreni 11,8,5,2, car Ek Baat -150 hey |
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| 70876. |
radius of a circular region is 63 CM find the least length of rope which is sufficient to encircle the circular region |
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| 70877. |
4. Radius of a circular region is 63 cm. Find the least length of rope which is sufficient toencircle the circular region. |
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Answer» To find the least length of rope which is sufficient to encircle the region, we have to find out the circumference of the circular region.Given : radius = 63 cmCircumference of circle = 2πr= 2*22/7*63Circumference = 396 cmLength of rope to encircle the region is 396 cm |
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| 70878. |
Solve the given equation by trial and error method:i) 6m - 4 = 32 for m = ( 4, 6, 8)ii) 7x +2 = -33 for ( 5, -5, 7) |
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Answer» lets put m=4 so 6*4-4=24-4=20m=6 so 6*6-4=36-4=33 so m=6 lets put x=5 so 7*5+2=35+2=37m=-5 so 7*-5+2=-36+2=-33 so m=-5 |
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| 70879. |
2 NO1.Solve the following linear equation by trial & error method :-iii)3n-8-5-n5 10xii) | 2.5y-12-6 + 1.5yiv)5a-8=20+2IV |
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Answer» thanks very much |
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| 70880. |
Find the smallest square number which is divisible by each of the numbers 6, 9 and 15. |
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| 70881. |
Select an equation that can be used tosuive 1o - Sciari all uses appaz.A Tex=0B. 7xD=}C 73-DD. 19x3=0 |
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| 70882. |
drehow many studeni inand U.primary school teachers, how manyadmitted in the primary classes?Solution: Pupil-teacher ratio in the primais 25:1.Thus, for every 1 teacher there are 25 stude. SoluSo, for 14 teachers ther are 14 x 25 = 350 19students.Wind outThe problethis methoExampleis the ca'Ch SolutioTo find3 14 (ThusBut870Try This!ha1 If the cost of 4 pens is * 48, find the cost of C12 pens.2 Are the two ratios 7 : 16 and 14: 37 equivalent |
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Answer» 144 is correct answer the correct answer is 85 the cost of 12 pencil is 12/4×483×48=144 Cost of 4 pen = Rs. 48cost of 12 pen = 48 × 3 = Rs. 144Hence, the cost of 12 pens is Rs. 144 cost of 12 pens is rupees 144 144 is the correct answer |
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| 70883. |
Slove using the trial and error method3multiply =6multiply1:37 PM VI |
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| 70884. |
17. Find the smallest square humbuu18. Find the square roots of each of the following numbers by Division method:(1) 3481 (iv) 529(2304(1) 4489(vii) 5776 (vi) 7921(V) 3249 (vi) 1369 |
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| 70885. |
The ver texis 12 o: Find bof an isoscelesanges |
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Answer» If u draw the height which the line perpendicular from the vertex to base it divides the 120 degree angle into 2 equal angles. And Also this perpendicular bisector bisect the base into equal parts. So u get two 30 -60 -90 triangleswhere side opp the 60 degree angle = 9also by the formula for this special trianglelength of side opp 60degree angle= x√3 9 = x*√39/√3 = x3√3 = xalso side opp the 30 degree angle = altitude= x = 3√3 thanks but can u do it |
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| 70886. |
16A train travel a distance of 300 km at constant speed. If the speed of the train is increased by5 km per hour the journey would have 2 hours less. Find the original speed of the train. |
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| 70887. |
U DUNCLE144. Monica cuts 46 m of cloth into pieces of 1.15 m each. How many pieces does she get? |
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| 70888. |
bullet of mass m moving with a speed vstrikes a wooden block of mass M and getsembedded into the block. The final speed is15. |
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| 70889. |
Uâ Aladder lOrn long reachesawi dwinAP Findthe valudofindthed tance of he fotoftheladlerfronbA ladder 10m long reaches a window 8m above the ground. Find the distance of the foot of the ladder from base of thewall. |
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| 70890. |
3ong DivVi Sion Method |
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Answer» thanks |
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| 70891. |
(c)A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4m high. If the foot of the ladder is moved 1.6 m.towards the wall. Then find the distance by whichthe top of the ladder would slide up wards on thewall4 |
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Answer» Hypotneuse = 5 mBase = ?altitude = 4 mBase² = hyp² - alt²b² = 5² - 4²b² = 25 - 16b =√9b = 3 m When base is reduced by 1.6 mBase = 3 - 1.6 = 1.4 mhypotneuse = height of ladder = 5 maltitude = ? alt² = hyp²- base²alt² = 5² - 1.4²alt² = 25 - 1.96alt =√23.04alt = 4.8 m a |
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| 70892. |
14. A ladder 6 m long leaned against a wall. The ladder reaches the wall to a height of48 m. Find the distance between the wall and the foot of the ladder. |
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| 70893. |
A boy walks to his school with a constant speed of 4 km/h and reaches there in30 minutes. Find the distance of the school from his house. |
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| 70894. |
11. Organisms of which phylum are called flat worms? |
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Answer» Flatworm, also called platyhelminth, any of the phylum Platyhelminthes, a group of soft-bodied, usually much flattened invertebrates. A number of flatworm species are free-living, but about 80 percent of all flatworms are parasitic—i.e.,livingon or in another organism and securing nourishment from it. |
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| 70895. |
Harish says that probability of getting two heads when a coin is tossed is 2. Do you agree with his statement? Justify? |
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Answer» Total possiblites in tossing is 2 Favourable possiblites in tossing of getting heads is 1so probability is 1/2 = 1/2so Harish statement is false |
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| 70896. |
1. Harish had 30 pieces of sweets. If he ateof them in one week, how many pieces10of sweets did he eat? |
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Answer» For this find 7/10 of 30hence7/10*30=7*3=21 pieces. |
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| 70897. |
1. Harish had 30 pieces of sweets. If he ate 7/10of them in one week, how many piecesof sweets did he eat? |
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Answer» 21 pieces |
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| 70898. |
cm and AC3. A 15 m long lader reached a window 12 m highfrom the ground on placing it against a wall at adistance a. Find the distance of the foot of theladder from the wall.s |
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| 70899. |
express the ratio in simplest form1) 300 mL to 1L 350 mL |
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Answer» thanks |
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| 70900. |
22. Sophia pouredleft in the jug?of the water out of the jug given belohe water out of the jug given below. How much water was300 ml200 ml100 ml |
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Answer» As jug have 275 ml of water If Sophia poured 1/5 of water out of jug Then,Amount of water left in jug= 275(1 - 1/5)= 275(4/5)= 55*4 = 220 ml |
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