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73101.

9. Construct a ΔDEF in which LD = 100°,LE = 60° and DE = 6.5 cm.

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73102.

Convert the temperatures given below into given units:(1) 100 degree centigrade into fahrenheit

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212 farenheit is the ans

please step by step solve this question

73103.

4.Which of the following is a monomial of degree 100?(a) 100x(b) /100 "(c) x100+ 100 (d) v100xof the nolvnomial (+5) (x-3) is:

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√100 * x^100 is a monomial of degree 100.

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73104.

Circles of radius 2 are centered at the vertices of a triangle with sides lengths 8, 11 and 12. Find thelength of a belt that fits tightly around those three circles as shown in the figure(A) 31 + 4π(B) 31 + 6π(C) 31 + π(D) 31 + 2π

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than which one is answer

a is answer as 31+4π = 43.5

how

31+4π = 43.5 equivalent to 43

73105.

s: A's income is 20% more than that of B. How much percent is the income of B less than that of A?

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73106.

the radius of sphere is 5cm l. if the radius is increased by 20% then find by how much percent the volume increased

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use 4/πr3the radius of sphere is 5 cm it increasd by 20%

now

73107.

21.What is the equation of the straight line shown?(3, 5)(A) 3x+8y-31 = 0(C) 8x +3y-31 0(B) 3x-8y +31 0(D) 8x- 3y +31 0

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Option B is correct.

73108.

27 3131 27=85 ;x-2 y+3

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hit like if you find it useful

73109.

The probability of guessing a correct answer to a certain question is x/2, If the probability of notguessing the correct answer to the question is 2/3‚Then

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Let E denote the eventof guessing a correct question andEbardenote the eventof not guessing a correct question.Given probability of guessing a certain question is P(E) = (x/2)Hence probability of not guessing answer isP(E bar) = (2/3)P(E) + P(E bar) = 1x / 2 + 2 / 3 = 1x / 2 = 1 / 3∴x = 2/ 3.Hence x = 2/3.

73110.

Q22) in the figure, cABC 6and ACB-31 Find 4BDC.16931

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∠ABC = 69°, ∠ACB = 31° [Given]

InΔABC∠ABC + ∠ACB+∠BAC = 180°⇒ ∠BAC = 180° - ∠ABC - ∠ACB⇒ ∠BAC = 180° -69° - 31° = 80°

∠BDC = ∠BAC ( Angle drawn from same chord)

∴ ∠BDC= 80°

73111.

The side of a rectangular park in the ratio 4: 3. If its area is1728m2, find the cost offencing it at Rs. 30 per metre

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73112.

The sides of a rectangular park are in the ratio 4:3. If its area is 1728 m2, find the cost offencing it at ? 30 per metre.

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73113.

A student multiplied 8,315 by 189 instead of multiplying by 198. How much was hisanswer less than the correct answer?

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73114.

((-7)/8)^0*((2/3)^(-2)*(3/4)^(-3))

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16/3 is the correct answer of the given question

73115.

a place 20. Show that:(a the points (0,-2), (3, 1), (0, 4), (-3, 1) are thevertices of a square() the points (0,-1), (-2, 3), (6, 7). (8, 3) are thevertices of a rectangle

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73116.

The speed of sound wave in air at room temperature is

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The speed of sound in room temperature air is346 metersper second.

73117.

A pre owned car showroom owner bought a second hand car forき1,50,000. He spent?)0.00repairs and painting then sold it forて2.00,000. Find whether he gets profit or loss? If so, what percent

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Cp=1,70000sp=200000profit=sp-cpprofit=200000-1,70000profit=30000gain% =gain/cp ×100= 30000/1,70000 ×100=3/17×100=300/17=17.6% gain is answer

73118.

75/ The price of petrol is increased by 25%. By how much percent a car ownershould reduce his consumption of petrol so that the expenditure on petrol(S.S.c. 2005)would not be increased?25%(b) 30%(c) 50%(d) 20%

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Required percentage of reduction

=25/100+25×100=25/125×100=20%

73119.

17. Acircularfield has a perimeter of 650 m. A plot, inthe shape of a square having its vertices on thecircumference of the field, is marked in the field.Calculate the area of the square plot.Take π=(ICSE)

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the square is inscribed in the circle.Circumference of circle = 2πr650 = 2*22/7*rr = (650*7)/44r = 103.409 mAs the diagonal of the square plot is the diameter of the circle.hence, r× 2 = dso, Diameter = 103.409*2Diameter of circle = 206.818 m = Diagonal of square plotNow,Area of the square plot = 1/2× d²= 1/2× (206.818)²= 1/2× 42773.68Area of the square plot = 21386.84 sq mAnswer.

73120.

0. The circumference of a circular plot is 220 m. A 15 mwide concrete track runs round outside the plot. Find thearea of the track. Use π = 22m

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Let the radius of the circular plot be xcircumference = 2202 x 22/7 x x = 220x = 35Nownew radius = 35+ 15 =50marea = 22/7(50^2-35^2)=1275 [approx]

73121.

4. The cost of fencing a rectangular field at R 30 per metre is 2400. If the(c) 2400(d) 334024 m, then its breadth is(a) 8 m(b) 16 m(c) 18 m(d) 24 mh of it

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thanks

73122.

If 0 < a < 1, the value of log1o a is negativeThis is justified by(a) Negative power of 10 is less than 1(b) Negative power of 10 is between 0 a(c) Negative power of 10 is positive(d) Negative power of 10 is negativend

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option A

suppose a = 1/10

let b = log10[a]

=> log10[1/10] = b=> 1/10 = 10^b

so, the value of b must be -1 hence the value of log10[b] is -ve

73123.

1 0 1)If A =| 023 landB| 15 | , then find matrix X such that XA-B12 4 7

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can u give explanation

73124.

12. A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of pavinroad at 20 per m1". (Take π =-)dosm and recast into disus ol the

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Area of circular road =π(R^2-r^2)Given circumference=2πr=44r=7 m so, R=7+7/2=21/2 m now area of road =22/7 x {(21/2)^2-(7)^2}=22/7 x 35/2 x 7/2 =11 x 35/2 m^2cost =area x rate =11 x 35/2 x 20 =3850 Rs

3850

73125.

39. A car owner buys petrol at the rate of 62.50, 52.50and 57.50 per litre for three successive years. Whatis the average rate per litre of petrol, if he spends* 24150 each year?A. 57.21B. 57.50C. 52.50D. 56.20

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Option A is the right answer,add all value, take average and divide with 24150 you will get 57.21

option a is correct answer

Option a is correct answer

73126.

(287) If the price of petrol decreases by Rs. 10 per litre one can bay 1 litre petrol more in Rs. 300, what is the originalprice of the petrol?

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73127.

2. A road 3.5 m wide surrounds a circular plot whosecircumference is 44 m. Find the cost of paving the(ICSE)road at10 per m2

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we find area to calculate paving costcircumference =2pi rr= 22/piarea of circular plot= pi r^2pi× (22/pi)×(22/pi)= 484/pi= 154total cost = 154× 10 = 1540

73128.

10(3) and(4+Show that the lines (i+) -plane containing these two lines) and r(4i-k) + μ(2i + 3k) are coplanar. Also, find the

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73129.

uuitwidthoftheroomf 5: 3. If the total costs. The length and breadth of a rectangular piece of land are in the ratio oof fencing it at R 24 per metre is 9600, find its length and brea

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73130.

4. Let a-i+j+,i andi+c,k Then(a) If c! = 1 and с, = 2, find c, which makes a, b and c coplanar . (Ans. c,-2)(b) If с,--1 and c31, show that no value of cı can make ā, b and c coplanar.

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what?

73131.

(v) xy In - 41424. Identify like terms in each of the following.(1) a, b, 2a, e (ii) 3xy, yz, 5x, 7 yz(iv) cab?, ałbc, bac, c-ab, abc, acb2un algebraic

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73132.

3. Lines I and n are the lines of symmetry of the line segments XY and YZ respectively. tXA4 cm and YZ6 cm, find AY, YB, XZ.a mFig. 13.10

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since line of symmetry divides the line segment into two parts

so, XA = AY = 4cm

again YZ = 6 = YB+BZ but YB = BZ , so YB = BZ = YZ/2 = 3cm

now XZ = XA +AY+YB+BZ = 4+4+3+3 = 14cm

73133.

I.What cross-sections do you get when you give a(Ăź) vertical cut(ii) horizontal cutto the following solids?(a) A bricik(d) A circular pipe(b) A round apple(e) An ice cream cone(c) A die

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73134.

Both water anuestionstheir chemical cThey differ in od1. How will you separate a mixturecontaining kerosene and petrol(difference in their boiling pointsknow that oilextinguishes fiis more than 25 C), which are of oil that mBurning is amiscible with each other?to senarateprocess one

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73135.

What cross-sections do you get when you give a(i) vertical cutto the following solids?1.(ii) horizontal cut(a) A brick(c) A die(b) A round apple(e) An ice cream cone(d) A circular pipe

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73136.

chemist has one solution which is 50% acid and asecond which is 25% acid. How much of each shouldbe mixed to make 10 litre of 40% acid solution.

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73137.

The price of diesel is Rs. 55 per litre. If its price has increased by 15%, then what is the new price of diesel per litre?

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Thnks

73138.

The price of pulitre. A shopkeeper adulterates it withsome other types of oils at 50 per litre.He sells the mixture at the rate of 96 perlitre so as to gain 20 % on the wholetransaction. The ratio in which he mixed thetwo oils is:re mustard oil is100 per

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Let pure oil = x litres and

other oil = y litres

Profit=20%

Cost of pure oil is Rs. 100x and

Cost of other oil is Rs. 50y.

Total Cost price (CP) = Rs. (100x + 50y)

Now, the shopkeeper sellmixture = (x+y) litres of adulterated oil at the rate of 96 Rs/litres.

Total Sale Price (SP) = 96(x+y) = 96 x + 96y

Profit = SP-CP = [96x+96y] - [100x+50y] = 46y-4x

73139.

20. The circumference of a circular park is 660 m. A 7 m wide path surrounds it. Find the costof fencing the outer boundary at the rate of 60 per metre.

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73140.

along the boundary of the plot.12. The sides of a rectangular park are in the ratio 5:3. If its area is 9375 m2, then find the cof fencing it at24 per metre.

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Length/Breadth=5/33L=5BL=5B/3Area of rectangle=LB9375=(5/3)B^21875*3=B^2B=75L=125Perimeter=2(75+125)=2(200)=400m^21m^2=24Rs400m^2=24*400=9600Rs

73141.

Find vectors of magnitude 10v3units, that are perpendicular to the plane ofa27 +R and b3) + 4R .2.vectors

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73142.

Name the shape of the eross section in each of the following solids.1ルFig. laFig. IhFig. leFig. ld

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i) circleii) rectangleiii) triangleiv) semicircle

73143.

b, c are non-coplanar vectors, thenthat the vectors -a + 3b 5c,and 2a - 3b + c are[3 Markscoplanar.

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it's wrong bro

73144.

If x 2+3, xy 1

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73145.

andy-V3-1 then find the value of x2-xy+yzV3 +1+xy +y2

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1

73146.

| 0 ) 2 X- - 0aw the following solids, label them and name their numberof vertices, edges and faceo write the shapes of their faces.(b) cuboid(c) pyramid(d) tetrahedron

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option B is the correct answer

(b) is the right ans

cuboid is correct answer.

cuboid is write answer

options b is the correct answer

73147.

A chemist has one solutionHow much of each should be mixed to make 10 litres ofcontaining 50% acidand a second one containing 25% acida 40% acid solution.

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73148.

So, the perimeter of the rectangle is 178 cm even though its area is the samethe square.eurthey cois theEXERCISE 11.11. The length and the breadth of a rectangular piece of land are 500 mespectively. Find0 its areathe cost of the land, if I m of the land costat 10.0002. Bed the area of a square park whose perimeter is 320 m3. Find the breadth of a rectangular plot of land, if its area is 440 m and the22 m. Also find its perimeterMe perimeter of ametangular sheet is 100 cm If the length is 38cm. findetAlso find the area5. The area of a square park is the same as of a rectangular park. If the videosquare park is 60 m and the length of the rectangular park is 90 m. find thethe rectangular park& A wire is in the shape of a rectangle. Its length is 40 cm and breath c m.same wire is rebent in the shape of a square, what will be the monochAlso find which shape encloses more area11.2.A rectaand cuso

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area =length ×breadth500×30015000

area of rectangle =length *breadth =500*600=300000

3) breadth = 20 mperimeter of rectangle = 2(22+20)= 2×42= 84 m

73149.

A circular flower bed has a diameter of 100 cm. Ametal boundary costingR 2 per metre placed aroundit. Find:(a) length of metal boundary that will be requiredto fence the flower bed twice.

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wrong

^= 3.14

73150.

The vectors i+2j+3k,4i-5j+k,9i-8j +5k are

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