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{(sinx^3+ cosx^3)-(sinx^5+ cosx^5)}/sinxcosx={ sinx^3+ cosx^3- sinx^5-cosx^5}/sinxcosx={sinx^3(1-sinx^2)+cosx^3(1-cosx^5)}/sinxcosx={ sinx^2cosx^2(sinx+cosx)}/sinx+ cosx= sinx^2cosx^2; RHS: {(sinx^5+ cosx^5)-( sinx^7+ cosx^7)}/sinx^3+ cosx^3= { sinx^5-sinx^7+ cosx^5- cosx^7}/ sinx^3+cosx^3 ={sinx^5(1- sinx^2)+ cosx^5(1- cosx^5)}/sinx^3+ cosx^3={ sinx^5( cosx^2)+ cisx^5( sinx^2)}/sinx^3+ cosx^3={sinx^2cosx^2{ sinx^3+ cosx^3}/sinx^3+ cosx^3=sinx^2cosx^2; since RHS= LHS

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(i) triangle(ii) square(iii) pentagon

let number of plants planted initially be X number of plants dried =10/100*x=x/10this implies x-x/10=18009x/10=1800x=2000 trees were planted initially

2hour45min is right answer

Yes.The answer in the solution is same.

you are great mathematician

Distance covered by the bus in 1 hour = 62.5 km∴Distance covered in 18 hours = (62.5××18) km = 1125 kmHence, the bus can cover a distance of 1125 km in 18 hours.

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excellent congrats

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(xy + pq) ( xy - pq)

(xy)² - (pq)²

6 is the answer because

2.) i. Distance from C to A through B = 2170+1350= 3520 km

ii. 2780 kmiii. 4340 kmiv. 7110 km

3.)cost of 1 refrigerator= 16995 rstherefore,cost of 326 refrigerators = 326× 16995 = 5540370rsis the best answer

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The diameter must pass through center of circle (2,-1)Also, it bisects the chord cut off from line x-2y-3=0. So, diameter must be perpendicular to this line. So, slope must be -2.So, let equation of diameter be y=mx+c Here, m=-2so, y=-2x+cIt passes through (2,-1)So, -1=-4+c which gives c=3So, equation is : y+2x-3=0

a) 21.56b) 17.10c) 7.05d) 12.15

21:5617:107:0512:15

Perimeter of a triangle= Sum of three sides= 5.5+6+6.5=18 cmPerimeter of rectangle= 2(l+b) =2(8.5+5.5) =2(14)=28 cmPerimeter of square= 4a=4(7.4) =29.6 cm

(3xy + 2yz - 8zx) - (xy - yz + zx) = 3xy + 2yz - 8zx - xy + yz - zx = 2xy + 3yz - 9zx

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I want the solving

x²+y²+z²-xy-yz-zx

=1/2[2x²+2y²+2z²–2xy-2yz-2zx]

=(1/2)[(x²+y²–2xy(+(y²+z²–2yz)+(z²+x²–2zx)]

=(1/2)[(x-y)²+(y-z)²+(z-x)²]

=Always positive since ( All squres are +ve)

given:-

side of square pizza=45cm

therefore area=side×side=45×45

=2025cm²

diameter of circular pizza=50cm

therefore radius=50/2

=25cm

area=πr²

=22/7×25×25

=13750/7

=1964.28

square pizza have better deal because it's area is greater than the circular pizza and also cheap than the other pizza.

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Given that x = 2 + 2^(2/3) + 2^(1/3)

so x - 2 = 2^(2/3) + 2^(1/3)

=(x-2)^3 = [2^(2/3)+2^(1/3)]^3

using (a-b)^3= a^3 - b^3 - 3ab(a-b)

and (a+b)^3= a^3 + b^3 + 3ab(a+b) formulae.

or x^3 - 8 - 6x(x-2) = 2^2 + 2^1 + 3*[2^{(2/3)+(1/3)}[2^(2/3)+2^(1/3)

or x^3 - 8 - 6x^2 + 12x = 4 + 2 + 6(x-2)

or x^3 - 8 -6x^2 + 12x = 6 + 6x - 12

or x^3 - 6x^2 +6x = 2

15/3+24-12*25+24-12*25+24-245+05

15 B 3 C 24 A 12 D 2=15÷3+24-12×2According to BODMAS RULE(Bracket, Of, Division, Multiplication, Addition and Subtraction)(3)+24-12×2=(3)+24-(24)=(27)-24=3 is final ans.

mortise and tenon

Any change, whether an increase, decrease, profit, loss. discount which is to be given as a percentage, can be calculated from the same formula..

%change=amount of changeoriginal amount×100%

In this case the number increased from 50 to 60.

change =60−50=10

10/50×100%

=20%

sorry it's 10/50 instead of 1050

negative power h isliye ye upon m Chali jaaye gii or niche wali negative no. upper aa jaaye gii (5^4 ×6^4)/(3^5×2^6×10^2) and solve krne pr 625÷120 and 125/24 it's ans

27/5 litres are of 945/4so 1 litre is of (945/4)/(27/5)=(945×5)/108=4725/108=43 81/108

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how it is not onto

see if onto na as function is from N to N so let ki 2 be image what i have solved above na tells that 2 will be image but for that you have to put (-1+ or - sqrt5)/2 in place of m but function ka domain is from N and (-1+ or - sqrt5)/2 is irrational value so not possible.

Product willbex^5y^2+x^3y^4+x^3y^2z^2

1liter =10.5km262.5km=262.5/10.5 =25 liter

25 liter is the answer of the following.