Explore topic-wise InterviewSolutions in .

(1 1 + 10 square of 1 + cot square bracket equal to 1 by sin square A minus sin by 4

yas

please like, accept as best

please like accept as best

50×27×20 = 2700030×30×30 = 27000

volume of cuboid=50x20x27=20000cm³volume of cube=30³=27000no the volume is not the same

volume of cuboid=50x20x27=27000cm³volume of cube=30³=27000cm³yes they have same volume

area of this figure = length×breadth

180 cm is the answer

thank you

thanks

Length of the veranda = 50m = 5000cmBreadth of the veranda = 30m = 3000cmArea of the veranda = l*b = 5000cm*3000cm = 15000000cm.sq

Area of tiles = 50cm*50cm = 2500cm.sq

Total no of tiles required = 1500000/2500 = 6000

[2(1/√3)]/[1+1/3]=[2(1/√3)]/[4/3]=√3/2It is equal to sin60°So, option A is correct

4 3/8 = 35/8 2 1/2 = 5/2 6 1/4 = 25/4 म.स. = (5×5×7)/2 = 175/2

numerator=L(denominator)+m(derivative of denominator)

ie.

sinx=L(sinx+cosx)+m(cosx-sinx).................. eq 1

sinx=Lsinx+Lcosx+mcosx-msinx.

sinx=(L-m)sinx+(L+m)cosx.

comparing coeffecients of sinx and cosx on LHS AND RHS.

l-m=1 and m+m=0.

solving we get L=1/2,m=-1/2.

put sinx if form of eq 1

question is:

∫(L(sinx+cosx)+m(cosx-sinx))/(cosx+sinx)

=∫Ldx+∫m(cosx-sinx)/(sinx+cosx)dx

=(1/2)x-(1/2)log(sinx+cosx)

Putting limits

ans is:pi/4 -(1/2)*0=pi/4 (take sinx+cosx as t so (cosx-sinx)=dtso∫1/tdt=logt=log(sinx+cosx)

sin(π/3 - sin⁻¹(1/2) )

We know that sin30 =sinπ/6 = 1/2

π/6= sin⁻¹(1/2)

So,

=sin(π/3 - sin⁻¹(1/2) )

=sin(π/3 - π/6 ) = sin(π/6)= 1/2

{tan(x-π/2).cos(3π/2+x)-sin³(7π/2-x)}/{cos(x-π/2)tan(3π/2+x)}=[tan{-(π/2-x)}.cos{(π/2×3)+x}-sin³{(π/2×7)-x}]/[cos{-(π/2-x)}.tan{(π/2×3)+x}=[-tan(π/2-x).sinx-(-cosx)³]/[cos(π/2-x).(-cotx)]=(-cotx.sinx+cos³x)/[sinx.(-cotx)]=[-(cosx/sinx).sinx+cos³x]/[sinx.(-cosx/sinx)]={-cosx(1-cos²x)}/(-cosx)=1-cos²x=sin²x

2*3=6

6*3=18

18*3=54

Thus we can conclude that the ratio of any term with the previous term is 3.

The first term of this series is 2

The second term of this series is 2*3

The third term of this series is 2*3*3

Thus we can write the general term of this series nth term=2*(3^(n-1))

so putting 8 in place of n we get

2*(3^7)=4374

P.S. this type of series is called ageometric progression.

BASIC PROPORTIONALITY THEOREM (BPT) : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. That is also known as Thales theorem.SOLUTION:

GIVEN:In ∆BAC, DE || ACBE/EC = BD/DA………..(1)

[ By Thales theorem(BPT)]

In ∆BAE, DF || AE (GIVEN)BF/FE = BD/DA………..(2)

[ By Thales theorem(BPT)]

(From eq 1 and 2)BF/FE = BE/ECFE/BF = EC/BE [reciprocal the terms]

Hence proved.

Like my answer if you find it useful!

F=mdv/dtm=200*10/40m=50kg

please like my answer if you find it useful

Thanks

1,2,3,4,56,7,8,9,102,3,4,5,61,4,7,9,10

The ascending order is in order of thier occurence1,2,3,4,56,7,8,9,102,3,4,5,61,4,7,9,10

1010 is the correct answer of the given question

option (2) is the right answer

Since, the train travels at 60 km/h, it's speed per minute is 1 km per minute. Hence, if it's speed with stoppage is 40 km/h, it will travel 40 minutes per hour i.e. train stops 20 min per hour.

The median for the coordinates of intersection point of less than ogive and more than ogive will be-The median of grouped data is the x-coordinate of the point of intersection of the two ogives. Here, the ‘less than ogive’ and ‘more than ogive’ intersect at (14.5, 20).so, median = 14.5

please let me know if you send me gifts please

17)24,3618)3,6,9,12,15 multiples of 3 4,8,12,16,20 multiples of 4Common multiples=1220)B21)yes,1,2,3,6 are multiples of 6 because they divide 6

1- 5,10,15,20,252- 3,6,9,12,153- 7,14,21,28,354- 4,8,12,16,205- 9,18,27,36,456- 2,4,6,8,107- 6,12,18,24,308- 8,16,24,32,409- yes10- no11- no12- yes13- yes14- yes15- no16- yes17- 2418- Multiples of 3= 3,6,9,12,15 Multiples of 4= 4,8,12,16,20 Common multiple = 12

20- B21- It ' s wrong because these are factor of 6 not multiples of sixmultiples of 6= 6,12,18,24,30......

200,400,600,800 and 1000

0, 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500, 5000, 5500, 6000, 6500, 7000, 7500, 8000, 8500, 9000, 9500, 10000, 10500, 11000, 11500, 12000, 12500, 13000, 13500, 14000, 14500, 15000, 15500, 16000, 16500, 17000, 17500, 18000, 18500, 19000, 19500, 20000, 20500, 21000, 21500, 22000, 22500, 23000, 23500, 24000, 24500, 25000, 25500, 26000, 26500, 27000, 27500, 28000, 28500, 29000, 29500, 30000, 30500, 31000, 31500, 32000, 32500, 33000, 33500, 34000, 34500, 35000, 35500, 36000, 36500, 37000, 37500, 38000, 38500, 39000, 39500, 40000, 40500, 41000, 41500, 42000, 42500, 43000, 43500, 44000, 44500, 45000, 45500, 46000, 46500, 47000, 47500, 48000, 48500, 49000, 49500, 50000.

First 5 multiples of 5 are: 5, 10, 15, 20, 25.

Please hit the like button if this helped you

Please like the solution 👍 ✔️

3. plz like my answer

just do 12 times 1 then 2 then 3 all the way to 5

1010+ 1010= 2020

LHS = cos ²(45°+ϴ) + cos²(45° - ϴ) / tan(60° +ϴ) tan(30 - ϴ) = 1= sin²[90° - (45°+ϴ)]+ cos²(45° - ϴ) / cot [90° - (60° +ϴ)] tan(30 - ϴ) [ Cosϴ= sin(90°-ϴ) & cot ϴ= tan (90°-ϴ)]= sin²(45°-ϴ)+ cos²(45° - ϴ) / cot 30° - ϴ)] tan(30° - ϴ) = 1/1 = RHS[ sin²ϴ + cos²ϴ= 1 and tanϴcotϴ=1]