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Therefore, 121 is the sum of first 11 odd natural numbers.

121 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21

Last four digit number is 9999

So there are 9999 numbers till last 4 digit number.

Now we want just four digit numbers so we can get them by subtracting numbers other than 4 digit number from 9999

i.e. from 1 to 999

So, 9999–999= 9000 numbers

sorry it's wrong 4+5 is not 72

Sorry, it was calculation error.

Apologising for the error in the solution. This is the correct solution.

can u solve my another sum of trigonomerty

2x-10+3x+20=1805x+10=1805x=170x=34°AOC=2×34-10=58°BOC=3×34+20=122°

3 times hitting centuries so 7 times not hittingso probability=7/10=0.7

1 days = 24hours2 days = 2 * 24 = 48 hourspercentage = (16/48)*100 = 33.3%

fraction =16/24please like my answer

fraction =16/25please like my answer

16/24please like my answer

16 hours is 16/24= 2/3 fraction of a day

16/24=2/3 fraction of a day

fraction= 16/24 = 2/3

Half centuries means >= 50 runs Centuries means >= 100 runs

total 329 innings 51 centuries and 68 half centuries total 119 innings of more than 50 runs per cent = 119*100/329 = 36.17%

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thanks

4:45 to 5;10( she waited for )25 minutes

thankuu

Here

First find roots of x^2-x-1hencex=-b+-√b^2-4ac/2ax=1+-√1+4/2x=1+√5/2 ,1-√5/2hence square will be y=(1+√5/2)^2,y=(1-√5/2)^2y=1+5+2√5/4,y=1+5-2√5/4y=6+2√5/4,y=6-2√5/4hencethe quadratic equation y^2-(sum of roots)y+(product of roots)hencey^2-(12/4)y+(36-10/16)y^2-3y+13/8

as at x= 1 system will become undefinedso range is R-{1}

3 and -2 and 16 is the correct answe

if value of 2 is 2 and value of y is 1 then 2*2=4 and 3*1=3 then 4+3=7

given,×=2,y=1 is a Solution of 2x×3y=k2×2+3×1=k4+3=k7=kso,k=7

2*2+3*1=k 4+3=7is the right answer

x+(x+30°)=180° (linear pair)2x+30°=180°;2x=150°;x=75°then the angles are 75° and 105°

x√4 = 52√4 = 52×2 = 104

root(5)=2.236so root(125)=5root(5)root(500)=10root(5)so 5root(5)-10root(5)/5=5root(5)-2root(5)=3root(5)=3*2.236=6.708

i) 100*2/125*2 = 200/250

100*3/125*3 = 300/375

wrong

1/2+4+20/1/2*4+20=1/2+24/2+20=1+48/2/22=49/44

thank you so much

Hii friend!!assume that 5 - 2√3 is rational5- 2√3 = a/b , where a and b are integers .-2 √3 = a/b - 52√3 = 5 - a/b2√3 = (5b - a)/b√3 = )5b - a)/ 2bwe know that a, b , 2 and 5 are integers and they are also rationaltherefore √3 will be rationalbut we know that root 3 is irrationalthere is a contradictionso, 5 - 2√3 is an irrational number

According to question a student is ranked 19th in the class of 50, that means there are 50 - 19 = 31 students behind him.which implies that the student is 32nd from the last

what is tha solution

X^² + 1/x^² = 34

x + 1/x =√ (34 + 2) = 6

x^³ + 1/x^³ = (x + 1/x)^3 - 3 x/x (x + 1/x) = 6^3 - 3 * 6 = 198

x+52+74=180; x= 180 - 126 = 54

52°+74°+x= 180°by angle sum property 126+x=180x=180-126x=54 °

answer is zero because in last step is coming (-1+1)power 3 ao answer us o..

Mean= sum of observations/total observations32= sum/7224=sum of observationsIf 48 is added to the data, then sum will be224+48= 272new sum=272new mean=new sum/total observations=272/8=34New mean=34