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78401.

| 20 men can do a work ir dayThey worked 3 days. Then 3 mejoined. How many days requireto complete this work ?

Answer»

Let number of days required to complete work when 3 more men joined = x

Then,20*18 = 20*3 + 23*x

20*(18 - 3) = 23*x

20*15 = 23*x

x = 300/23 = 13

Therefore, 13 more days require to finish work

78402.

The Cest ef pptatres fellfrown, Rs 13 per Kg. -by 2,0%

Answer»

Actual cost is = 13 -20%(13) = 13-0.2(13) =13-2.6 = 10.4 Rs/kg

78403.

MATH| 1,4000 का 5% वार्षिक व्याज की दर से 4 वर्ष में मिश्रधनऔर मूलधन का अन्तर क्या होगा?(1) 865.50 (2) Ya66(3) 400 (4) *80015

Answer»

SI=4000*5*4/100=800amount=4000-8003200

78404.

18 cm15 cm

Answer»

area of the pavement = area of bigger rectangle -area of smaller rectangle=(12*18)-(15*9)=216-135 cm²=81 cm²

78405.

18 cm24 cm

Answer»
78406.

The relation R on a set A = { 1, 2, 3, 41 is defined as l ( 1 , l ), ( l ' 3), (2, 2), (2.3), (3, l ), (3, 21Then R Is(al reflexive·

Answer»

The relation R is both symmetric and reflexive.

78407.

2. R L (%" —

Answer»
78408.

2. In Fig. 6.29, ifAB CD, CD EF andy:z-3:7,find x.

Answer»

Where is figure??? Please post figure also

thanks

78409.

On the sides AB and AC of triangle ABC,equilateral triangles ABD and ACE are drawn.Prove that: (i) <CAD =<BAE (ii)CD = BE.

Answer»

(ii) cd=be

78410.

(d) 14 hours 20 minutes - 5 hours 28 minutes

Answer»

Here,. 14 hours 20 minutes will be -. 20 minutes = 20/60 hours.

therefore, it will be (14 + 20/60) hours= (14+1/3) hours=43/3 hours. - i

5hours 20 minutes will be-

28 minutes = 28/60. hours

= 7/15 hours .

therefore, it will be,

= (5+7/15) hours

=82/15 hours. -ii

subtracting. ii. from i we get,

=. 43/3. - 82/15. hours

=215 - 82. /15. hours

= 133/15 hours= 8.8 hours.

= 82/15 hours. -

78411.

Chapter 12Perimeter and AreaThe diameter of a bicycle wheel is 25.5 cm. How much distance will it cover in 90 complerevolutions?( Take π-3.14)11.

Answer»
78412.

Is fis profitBy selling a book for 515, Gopal made a profit of 23.Find thecost of the book.

Answer»
78413.

3. A school worked 220 days in a year. Gopal was absent for22 days. Find his attendance percentage for the year.

Answer»

10% is answer of your question

it may be 90% bcoz 220-22=198 is the total day present nd the % is= total present ×100 by total day of school that is 198×100÷220=90%

90% attendance of the year

90% is the attendance percentage

90% is your question's answer

computer is a electronic devices which help us to perform complex tasks easily. Now they used in nearly every field. you can use computer for banking application, word processing, railway ticket reservation, etc,.

78414.

3. One morning after Sunrise, Gopal was standing facing apole. The shadow of the pole fell exaetly to his right.Which direction was he facing?(a) South(c) West(b) East.(d) Cannot be determined

Answer»

He was facing South direction.

Since the Sun rises in the East, the shadow must be towards West. West is right of Gopal if he faces South

78415.

A2 JEE-MAIN-SR-MATHS-VOL -II4. Three of the six vertices of a regular hexagonare chosen at random. The probability that thetriangle with three vertices is equilateral is1)2)3)10 4)202

Answer»

1/10

78416.

X LA किन... सरS el R L ke

Answer»

x^2-3x-1= 0a= 1 b= -3 c= 1D= b^2-4ac9-4= 5roots will be3+√5/2 and 3-√5/2please like the solution

78417.

24. The diagonals of a rhombus are 16 cm and 18 cm, then the area of the rhombus is44 The vuI(a) 142 cm(b) 144 cm2(c) 150 cm2(d) none of thesea)

Answer»
78418.

198Math Steps 43.Fill in the blanks:(a) The measure of a right angle

Answer»

the measure of right angle is 90 degree

the measure of right angle is 90°

78419.

giveninratioti.Q.Draw seg PQ of length 7 em. Divide it in the ratio 3:2Steps of construction:

Answer»
78420.

\left. \begin{array} { l l } { \text { Simplify. } } & { ( 1 ) ( x - 2 y + 3 ) ^ { 2 } + ( x + 2 ) } \\ { ( 2 ) ( 3 k - 4 r - 2 m ) ^ { 2 } - ( 3 k + 4 r - 2 m ) ^ { 2 } } \end{array} \right.

Answer»

thank you

78421.

। X R, L ei sin60° cos 30° + sin 30° cos 60°

Answer»

thanks

78422.

\left. \begin{array} { r l } { \text { Solve } } & { } \\ { x = } & { 4 y - 3 } \\ { x = } & { 2 y + 15 } \end{array} \right.

Answer»

the method is x=4y-3x=2y+15_________x-x=4y-2y-3-(+15)=2y-182y=18y=9

x=4y-3…........(1)x=2y+15.........(2)(1)=(2)4y-3=2y+15;2y=18y=9then x=4(9)-3=36-3=33

78423.

f Ifab+ bc + ca 36 and2122a +b+ c85, find a + b+ c.

Answer»

(a+b+c)² = a²+b²+c² + 2(ab+bc+ac)=> (a+b+c)² = 85+2(36) =157so, (a+b+c) = √157

78424.

Cholan walks 6 km in 1 hour at constant speed. Find the distante vor20 minutes at the same speed.

Answer»

distance walked = 6 km = 6000 mtime = 1 hr = 60 mindistance travelled in 20 min = (6000/60)20= 2000 m = 2 km ANS..

2km ans is a correct answer

78425.

re any tormula for arca of an equilateral tiangle SpsNMENTac of the shied region as shown in the figure below which is almost the shape of a trapenos14 mileDicken

Answer»

Trapezoid looks like this

This region have most similar figure like trapezoid

78426.

When the time by the watch is 20 minutes past 7 the angle between the handle of minute hand and hour hand is

Answer»
78427.

11. Stanley ran a 4 kilometer race in20 minutes. What was his speed in kilometers per hour? Round to the nearest tenth.

Answer»

Stanley speed in kilometres per hours is 12.

solution:-

20min-----4km60(1hr)----x

hence by crossmultiplication X=12km/hr

in 20 min Stanley runs 4kmin 1 min Stanley will run 4÷20in 60 min Stanley will run 4÷20×60 =12kmAND THE SPEED ROUND TO THE NEAREST TENTH IS 10 KM.

78428.

10Qeo. In a morning walk the percent step of togethertheir steps measure youm 142 cm, us on respectively.What is the minimum distance each should walk sothat each can cover the same distance in complete sebe.Also find the no. of steps of each person.

Answer»

We have to find the LCM of 40 cm, 42 cm and 45 cm to get the required minimum distance. Because we are asked the minimum distanceNow,40 = 2 × 2 × 2 × 5,42 = 2 × 3 × 7 45 = 3 × 3 × 5 ∴ LCM (40, 42, 45) = 2 × 3 × 5 × 2 × 2 × 3 × 7 = 30 × 12 × 7 = 210 × 12 = 2520

Minimum distance each should walk 2520 cm. so that, each can cover the same distance in complete steps.

78429.

26. Three boys step off together from the same place. If their steps measure 36 em. 48 cm and'54 cm, at what distance from the starting point will they again step together?TL

Answer»

the answer of the following is 432cm

78430.

x+3-1y-5+7z+7-6Hence, coordinates of C are (1, 1, 2)Miscellaneous Exercise on Chapter 12Three vertices of a parallelogram ABCD are A(3,-1, 2), B (1, 2,-4) andC(-1, 1, 2). Find the coordinates of the fourth vertex.Find tho 1

Answer»
78431.

2. Find the product of the eigen values of -6 1 26 2 13. Find the eiren al

Answer»

wrong anwer.... check it again🤣🤣

78432.

1. If a line makes angles 90°, 135, 45° with the x, y and z-axes respectively, find itsdirection cosines.

Answer»
78433.

1. Ifx 3, tind the vailue(a) x+3(b) 3x - 6(c) 9-3x22. Ifx-1, find the value of the followin(b) -3x2 + 2xx-1 (d)x1(a) 3x - 13. Ifx = 1 andy--I, find the value of the following:(b) y4. Find the value of the following expressions when r 0,y- -2(a)+2xy (b) -5. Simplify the expressions and find the value when x=-2.1 (hl +5-2(x-5) (c) (4x-1)+4(2+ 1)han (a) r=-L() x = 1?

Answer»

hi

78434.

1. If a line makes angles 90°, 135°, 45° with the X-, Y-and Z-axes respectively, then find its direction(2 marks)cosines.

Answer»
78435.

Find the sum of n terms of the series1^2+(1^2+2^2)+(1^2+2^2+3^2)+...

Answer»
78436.

14. A vector r has magnitude 14 and direction ratios 2, 3, -6. Find the direction cosines and components of r.given that r makes acute angle with the x-axis.

Answer»
78437.

4) Taxi fare is乏14 for the first kilometer &What will be the fare for 10 Kilometer?2 for each additional kilometre.

Answer»
78438.

15. Places A and B are 80 km apart from each other on a highway. A car starts from A andanother from B at the same time. If they move in same direction they meet in 8 hours and ifthey move towards each other they meet in I hour 20 minutes. Find the speed of cars

Answer»

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78439.

15.Places A and B are 80 km apart from each other on a highway. A car starts from A andanother from B at the same time. If they move in same direction they meet in 8 hours and ifthey move towards each other they meet in 1 hour 20 minutes. Find the speed of cars.

Answer»

Let speed of A be Km/h and speed of B be km/h

And we know that distance =80km

80=(a-b) ×8 and 80=(a+b)×(4/3)

a-b=10 and a+b=60

a= 35. , b=25

78440.

14) To repair a road, it costs 24,000 a mile.How much does it cost to repair akilometre? (1 mile 1.6 km)

Answer»

To repair 1.6 km cost = 24000To repair 1 km cost = 24000/1.6 = 60000/4 = 15000To repair 1 km cost = Rs 15000

78441.

ar(AABC)-9en , and BC = 15 cm, then find PR.4

Answer»

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78442.

(a) 63 cm(b) 130 cm3. Thecost of fencing a rectangular field 34 m long and 18 m wide at22.5o per metre is(a) 2430(b) 2340(c) 2400(d) 3340hnth of the field is

Answer»
78443.

Fourboysstepofftogetherfromthesameplaceiftheirstepsmeasure 28cm, 36cm, 45cm and 60cm, at what distance fromthe starting point will they again step together?

Answer»
78444.

- Idy OF VISCULS ZAUD d o is uic lay OPPOsu case since U+LQOB = 18,00utlQ0o2Con dicular to AC.3 In quadrilateral ABCD, BN and DM are drawn perpendisuch that BN - DM. Prove thatis mid-point of BD. Fig b140C

Answer»

Dijxjdkxkxkxkdkdkxkcfiidodosososowoaoaoaoqiqiqiqiqiqiqiqiq8qkxkx

78445.

What are the direction cosines of z-axis?

Answer»
78446.

Write the direction cosines of the vector -21 +j-5 K.

Answer»

the direction cosines of -2i+j-5k is

DCx = -2/√4+1+15 = -2/√30 DCy = 1/√30DCz = -5/√30

78447.

Z + 12Find the direction cosines of the line: -=-y=

Answer»
78448.

Write the direction ratio's of the vector a= i+j-2k and hence calculateits direction cosines.

Answer»

Direction ratios are =

a = 1, b = 1, c = -2

Magnitude of a vector =

√(1²+1²+(-2)²

= √6

The direction cosines are

= (a/|a|, b/|a|, c/|a|)

= (1/√6, 1/√6, -2/√6)

Like my answer if you find it useful!

78449.

Write the direction cosines of the vector-21 +j-5 K

Answer»
78450.

Find the acute angle which the line with direction cosinesn makes withpositive direction of z-axis.

Answer»

Given,l=1/√3 ; m=1/√6; n=?we know thatl^2 + m^2 + n^2 =11/3 + 1/6 + n^2 =1n = 1/√2 or n=-1/√2since we need the angle with positive direction of x axiswe take n=1/√2

we know that cos gamma=n=1/√2gamma = π/4