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Suppose n is 3 which is oddthen according to the questionn^2-1= 9-1= 8which is divisible by 8another exampletake n = 5then 25-1= 2424/8= 3so it's proved

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In year 2006 cars manufactured = 2000

In year 2007 cars manufactured = 2200

Therefore, Percentage increase of cars= [(2200 - 2000)/2000]*100= (200/2000)*100= 100/10= 10%

P=8000R=9%compounded half yearlyso A=P(1+R/200)^2=8000(1+9/200)^2 =8000×1.045×1.045=8736.2so interest=8736.2-8000=736.2

Every triangle has180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus, 65 is the base angle and 50 is the vertex angle.

Given,cot^-1(4/3) = xCot x = 4/3

tan x = 1/cot x = 3/4

We know,cos 2x = (1 - tan^2 x)/ (1 + tan^2 x) = (1 - (3/4)^2)/ (1 + (3/4)^2) = (1 - 9/16)/(1 + 9/16) = (7/16)/(25/16) = 7/25

In the context of a polynomial in one variable x, the non-zeroconstant functionis a polynomial ofdegree0 and its general form is . Thisfunctionhas no intersection point with the x-axis, that is, it has no root (zero). ... It is the (trivial)constant functionand every x is a root.

because 6666uwuwgwiw7s9wyhwgw

D=2(6*1-9*7)-3(5*1-7*8)+4(5*9-6*8) =2(6-63)-3(5-56)+4(45-48) =-114+153-12 =27

In public policy, asunsetprovision or clause is a measure within a statute, regulation or otherlawthat provides that thelawshall cease to have effect after a specific date, unless further legislative action is taken to extend thelaw.

A law that is passed with a specified date upon which it will expire. Sunset laws are favored by people who disapprove of government intervention and regulation and believe it is a good idea to periodically review whether laws and regulations are still needed. Sunset provisions gained in popularity in the 1970s and 1980s.

the time will she takes to cover 720 meters 30 minutes

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In an isosceles triangle , base angles are equal

LET vertex angles be xThen, Base angles will be 2x and 2x

SUM OF ANGLES OF TRIANGLE IS 180°.

Therefore,2x + 2x + x = 180°5x = 180°=> x = 36°

ANSWER = VERTEX ANGLE = 36°BASE ANGLES ARE EQUAL TO = 36° × 2 = 72° & 72°

21(m)(m) ÷ 7(m) = 3(m)

GIVEN:

Radius of cone ( r ) = 3 cm,

Curved surface area of a cone= 47.1 cm²Curved surface area of a cone= πrl

47.1 = πrl47.1 = 3.14 × 3 × ll = 47.1 / (3.14 × 3)l = 15.7 / 3.14= 1570/314= 5 cm

slant height (l) = 5 cm

Height of a cone (h) = √(l²) - (r²)h = √ 5² -3²h = √ 25 - 9 = √ 16 = 4 cmh = 4 cm

Volume of cone= ⅓(πr²h)= ⅓(3.14 × 3 × 3 × 4)= 3.14 × 12= 37.68 cm³

Hence, the volume of a cone is 37.68 cm³.

We know when a, b, c are in AP then2b = a + c So, here

2(3k + 3) = 2k + 1 + 5k - 1

6k + 6 = 7k

k = 6

43/644/645/6 46/647/6

n =5+1 = 67*6/1*6. 8*6/1*642/6. 48/6

43/6,44/6,45/6,46/6,47/6

answer:-2*15/3*15=30/454*9/5*9=36/4530/40, 31/40, 32/40, 33/40, 34/40, 35/40, 36/40.What have we done? In this sum we make the denominator same, of both the numbers given in the question. If we want more number like more than five then we will have to make the denominator bigger by multiply big numbers.

Sol:Let ‘a’ be the first term of the AP and ‘d’ be the common differenceS1= (n/2)[2a + (n – 1)d] --- (1)S2= (2n/2)[2a + (2n – 1)d] = n[2a + (n – 1)d] --- (2)S3= (3n/2)[2a + (3n – 1)d] --- (3)Consider the RHS: 3(S2– S1)= S3= L.H.S∴ S3= 3(S2- S1) .

75 km --- 215Rs120 km ----xx= (120×215)/75x=344 Rsie for 120 km he need to pay 344 Rs

the best answer is 344 Rs

cost of 75km. journey=215rs.cost of 1 km. journey=215÷75 rs.cost of 120km. journey=(215×120)÷75=25800÷75=344 rs. ans.

344 rupees is the right answer.

344 is the correct answer of the given question

journey 75 km cost = Rs. 215: cost of 1 km = 215÷75rs=2.86. cost of 120 km= (215×120)÷75=25800 ÷ 75=344 rs.

Solution :-Cost of 75km of journey =₹215Cost of 1 km = ₹215/75Cost of120km. =( 215×120)/75 = ₹344 Ans.

344rs is the right answer

344rs is the right answer

cost of 75km.=215cost of 1km.=215/75cost of 120km.=(215×120)/75=25800/75=344 rs. ans.

Speed =30 km per hour

Time taken to cover 375 km =12 hrs 30 mins(12hrs for 360 km and 30 min for 15 kms)

Time he stopped = 2hrs (75km , 150 km, 225km,300km = 4 times )

30 min *4 =120 min =2 hrs

Total time taken to complete the journey = 12hrs 30 min +2 hrs = 14 hrs 30 mins

Number divisible by 5 can be of the form:-

d = 5p + r,

where 0 ≤ r <5

If d = 5p, d² = 5m,

where m is some integer and m = 5p²

If d = 5p + 1, d² = 5m + 1

If d = 5p + 2, d² = 5m + 4

If d = 5p + 3, d² = 5m + 4

If d = 5p + 4, d² = 5m + 1

Therefore, the square of any positive integer cannot be in the form of 5m + 2 or 5m + 3 for any integer "m".

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