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suppose number is x so 2/3*3/4*1/7*x = 8 1/14*x = 8 so x = 14*8 = 112 50% of x = 0.5×112 = 56

E +2 = F + V ( Euler's formula)

30+2 = F+12

F = 32-12

F = 20

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yes it is correct because when we made jar then piece of tin is rectangle in size. when we fold in such a way that it comes as cylindrical . so it is correct.

yes it is match because the cylinder is horizontaly they convert into rectangle

yes this is correctly matched.when we fold in such a way that it comes as cylindrical .

yes ,This is correctly matched.Explain -The cylinder is horizontally they convert into rectangle.

sum of 5 and x=12; 5+x=12;; x=12-5=7; 2)x-7=13; x=13+7=20; 3)6 less 4 and 2=32; 32/4=8; 32/2=16;

v) 9 multiplied r be 36; 9+x=36; x=36/9=4; q+7=35; q=35/7=5; vii)q/-4=3; q=3×-4=12; ix) product of 7=42; axb=42; ax7=42; 7=42/a=6; (x)m=5×6=30

-5/16+7/12=-60+112/192=52/192=26/96=13/48

-5/16+7/12=-85+112/272=27/272

We know that there are 4 one fourths in 1. so if we want to know the no. of one fourths in 3, just multiply 3 with 4:3×4= 12so the no. of one fourth in 3 are 12.

9x² - 64

(3x)² - 8²

( 3x - 8) ( 3x + 8)

x/10+ y/5-=0; x/8+y/6=15; 6(x/10 + y/5=0); 5(x/8+y/6=15):; x/60 + y/30=6; x/40+y/30=75; x/20=81; x=81/20=4.05;

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 than the other two sides are divided in the same ratio.SOLUTION:In ∆ABC , DE||BCAD/DB= AE/EC[ By basic PROPORTIONALITY theorem]AD/DB= AE/(AC-AE)3/5 = AE / (4.8 - AE)3(4.8 - AE) = 5 AE14.4 - 3AE = 5AE14.4 = 5AE+3AE14.4 = 8AEAE = 14.4/8AE= 1.8Hence, AE is = 1.8 cm

Use formula of simple interest

Simple Interest = P×R×N/100

Solution:Formula:speed(s)*time(t)=distance(d)

walked 1/2km with time 4/5(s+0.5)((4/5)+t)=d --->(1)1/2km an hour slow, walked 2and half hr long(s-0.5)(t+2.5)=d ----->(2)solving (1) & (2)we get s=2t=7.5d=2*7.5=15km

let the no=xA/Q2/5x+4=362/5x=36-42/5x=322x=32*5x=32*5/2x=16*5x=80

5 one-fifths make one unit. So, 100 is made up of (100*5) = 500 one-fifths.

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➡1^3+2^3+3^3+.....+20^3

As we know that summation of n^3={n (n+1)/2}^2Here n=20

➡ Sum={20 (20+1)/2}^2

➡ Sum=(10×21)^2

➡ Sum=210^2

➡ Sum=44100

The following series is of the pattern (n*10)³ where n is the number of the term so the next term is (6*10)³=216000Therefore option 4 is correct.

i) <ii) >iii) < iv) >

full divid

side of square park (A) = 30m width of path = 1m side of inner park (a) = 30-1-1 = 28m cost of construction = 70 per m^2 Area of path = Area of square park - area of park inside the path = A^2 - a^2 = 30^2 - 28^2 = 900 - 784 = 116m^2 Cost of construction of path = 70×116 =8120

i) 3/6 + 9/18 = 3 x 3/ 6 x 3 + 9 x 1/ 18 x 1 = 9/18 + 9 /18 =18/18

iii) 2/4 *5/6=5/12i)3/6+9/18=18/18=1

1hectare =10000m,then,1.5 hectare=15000m,so;cm^2 =15000×100×100cm^2=150000000cm^2rain falls = 6cmvolume of rainfall =150000000×6cm^3=900000000cm³

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1m =100cmNow 10000cm^2 =1m^2Thus area is 1m^2

the answer is 100 meteres ok subhash

sum of Ap =n/2[2a+(n-1)d]givenno. of terms =19first term or "a"=2common difference =5now, sum of ap= 19/2[2*2+(19-1)*5]=>19/2[4+(18)*5]=>19/2[4+90]=>19/2*94=>19*47=>893

Now the midpoint of the x-intercept (a,0) and the y-intercept (0,b) is the point (a/2, b/2).Substituting Equation A into the y-coordinate of the point (a/2, b/2), we get

12.5l is the right answer

12.5liters25%=2.5liters25%×2.5=12.5%

10 x 125/100 = 12.5 liters id correct answer.

the correct answer is 12.5.

12.5 is the correct answer

12.5 is correct answer

12.5 l is the right answer

12.5 liters is the correct answer

12.5 litres is the right answer

12.5 is the correct answer

125×10/100=12.5% is correct answer.

(sin-2sin^3 )/(2cos^3-cos)=tan

solving LHS

lhs=(sin-2sin^3 )/(2cos^3 -cos)

lhs=sin(1-2sin^2)/cos(2cos^2-1)

lhs=sincos2/coscos2

lhs=sin/cos

lhs=tan

lhs=rhs

hence proved

thanks