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Let f(x) = sqrt(x)f'(x) = d/dx [ sqrt(x) ] = d/dx [x^(1/2) ] = (1/2) x^(-1/2) = 1 / 2 x^(1/2) = 1 / 2sqrt(x)

Let x=9sqrt(9)=3

sqrt(8.95)= f(8.95)= f(9) + (8.95-9) f'(9)= 3 + (-0.05) [1 / 2 sqrt(9)]= 3 - 0.05 / 6= 2.991667

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Thankew

CP=225loss=120SP=225-120=105So his friend paid 105

Ratio 4/7 is adjacent/hypotenuse that is cosA

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SP = 240 GAIN = 20% CP = 240/1.2 = 200 SP = 272 GAIN = (272-200)*100/200 = 72/2 = 36%

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what is condition of become a rhombus

Shoe size occured most often=5,5 1/2

From the diagram,

AB = 90-30 = 60 and BD = 100-20 = 80

AD = √AB²-BD² = √(60²-80²)

= √10000

= 100 m

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Also DE = 100 metre, DF = BC = 20 metreSo, EF = DE - DF = 80 metre

as we can see in image that triangle AFE is a right angled triangle and we are having two sides, need to calculate third one, so we can apply Pythagoras theorem here

A = AE = \sqrt{AF^2 + EF^2} \\= \sqrt{(60)^2+(80)^2} \\= \sqrt{3600+6400} \\= \sqrt{10000} = 100

So from starting point his father was 100 metre away.

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*ans

For arranging 1 automobile = 46/23 minutes

So, for arranging 50 automobiles

= 50*46/23

= 2300/23

= 100 minutes

= 1 hours 40 minutes

Let a,b, c are the sides of a triangle .

Given thathypotenuse(c) = 26 cm.

a + b + c = 60 cm.

∴ a + b = 60 - c = 60 - 26 =

∴ a + b = 34 --------(1)

In a right angled triangle c2= a^2+ b^2

a^2+ b^2= 262= 676 ---------(2)

Now a^2+ ( 34 - a)^2= 676. [ from (1)]

⇒ a^²+ a^2- 68a + 1156 = 676

⇒ 2a^2- 34a + 480 = 0

⇒ a2- 17a + 240 = 0

⇒ a^2- 10a - 24a + 240 = 0

⇒ a(a - 10) - 24(a - 10) = 0

∴ a = 10 , 24

but b = 34 - a then b = 24 , 10

∴ sides of triangle are 10 , 24.

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Shaded area = area of square - sum ofareasof 4 quadrantsLet the radius of circle be r cmthen side of square will be 2r cmA/q24/7 =(2r)² - 4×(1/4)×πr² =4r² - 22/7 r²⇒24/7 = 6r²/7⇒r² =4⇒r =2 cmhence , the radius of each circle is 2 cm

volume of cuboid= l x b x h= 12 x 5 x 9= 540 m3

Surface area is cuboid is 2(lb+bh+hl)hence2(16*15+15*8.5+8.5*16)=2(240+127.5+136)=2(503.5)=1007cm^2

One of the allotrope of carbon is diamond which is used in making ornaments.. Diamond is an allotrope of carbon which is used for making ornaments. Diamond is quite hard and is well known for its characteristics of dispersing rays of light. In Diamond, the Carbon atoms are incrystallized form.

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ax+b=0ax=0-bax=-bx=-b/a

let the roots are k and 1 , so ratio is k:1

now product of roots = b/1 = k*1

so, value of (k²+1)/k = b²+1/b

Not correct

Use:(a+b)^3=a^3+b^3+3(a)(b)(a+b)(a-b)^3=a^3-b^3-3(a)(b)(a-b)

(98)^3=(100-2)^3=100^3 - 2^3 - 3(100)(2)(100-2)=1000000-8-58800=941192

similarly,(103)^3=(100+3)^3=100^3+3^3+3(100)(3)(100+3)=1000000+27+92700=1092727

(999)^3=(1000-1)^3=1000^3-1^3-3(1000)(1)(1000-1)=1000000000-1-2997000=997002999

it is not related

Given, LHS = root tan a tan b + tan a cot b/sin a sec b - sin^2 b/cos^2 a

= root tan a tan(90-a) + tan a cot(90-a)/sin a sec(90-a) - sin^2(90-a)/cos^2 a

= root tan a.cot a + tan a.tana/sin a.cosec a - cos^2 a/cos^2 a

= root 1+tan^2 a/1 - 1

= root tan^2 a

= tan a.

the sun is not a star is not a mathematical statement

(B) the sun is not a star

the sun is not a star is not a mathematical statement

Option (B) is correct as it doesn't provide any mathematical information.

which question you answer this is not

Consider√(64/81)

8/9

which a rational number,

A) Option is correct

-5/7-x= -11-5/7= xx= 2/7Answer = 2/7

ax+by+1=c+1ax+by+1=bx+aya(x-y)-b(x-y)=-1(x-y)(b-a)=1