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area of traingle is :1/2 x 6 x 4=12cm^2

In triangle sum of 2 sides must be greater than the 3rd side.

So, the third > 8 - 6 = 2 and also the third < 8 + 6 = 14.

So, the answer is 2 < third side < 14.

The third side lies between(2,14).

tnx ur answer is correct 😊

a²+b² = c²

6²+7² = c²

c = √36+49

c = √85

We know that the sum of all angles of a triangle is180. Then let the angle be xSo, 5x+6x+7x=180X=12

House is bought for Rs.485000

Extra expenses = 52000

So total cost price = 485000 + 52000

= 537000

Then, it is sold for Rs.620000

That is Selling Price (SP) = Rs.620000

Profit % = ((SP-CP)/CP)*100

Profit % = ((620000–537000)/537000)*100

Profit % = 15.45%

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We know that: S(n) = (n/2){ T(1) + T(n) }

Given that:

(50/2){ T(1) + T(99) } = 2550 T(1) + T(99) = 102

Now sum of all the 99 terms:

(99/2) {T(1) + T(99)} = (99/2)*102 = 5049

The total cost of production= Rs.90

Let the number of pottery articles produced bex.Therefore, cost of production of each article = Rs (2x+ 3)

the total cost of production = no. ofpottery articles produced× cost of production

A.T.Q

90.= x(2x+ 3) = 0

⇒ 2x²+ 3x– 90 = 0⇒ 2x²+ 15x-12x– 90 = 0⇒x(2x+ 15) -6(2x+ 15) = 0⇒ (2x+ 15)(x– 6) = 0

Now 2x+15=0⇒2x= - 15

⇒x= -15/2⇒x– 6 = 0

⇒x=6

⇒x= -15/2 orx= 6

As the number of articles produced can only be a positive integer, therefore, x can only be 6.

Hence, number of articles produced = 6Cost of each article = 2 × 6 + 3 = Rs 15.

44460 secend per hour

44460 second per hour is the right answer

kn/h se meter/sec m446×5/18=123.89

kn/h decimal meter / sec m446×5/15=123.89

123.89 m/sec is the best answer

123.89 m/sec is the correct answer of the given question

Let the monthly income be x

All money and left money must combine to get the amount x. So,

1/4x +2/5x + 1/6x + 10000= x

implies

15x + 24x + 10x - 60x = -600000 (multiplied equation by 60 on both sides)implies

-11x = - 600000implies

x= 55,555.5

that's his monthly income

SI = P*R*T/100

Let P = a, SI = 2a, R = 40/3%,T =?

Then,2a = (a*40/3*T)/100T = 2*100*3/40T = 15 years

288> 240a=288 and b=240288=240×1+ 48240=48×5+0there fore HCF of 288 and 240 is 48

288> 240a=288 and b=240288=240×1+ 48240=48×5+0there fore HCF of 288 and 240 is 48

288>240;a=288 and b=240; 288=240+48; 240=5×48; Hcf=288 and 240 is 48

thanks

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let total marks be XX×49%=294X×(49/100)=294X=(294×100)/49X=600

Rajan marks in percentage =(372×100)/600=62% ans.

ⁿP₅=42×ⁿP₃or, n!/(n-5)!=42×n!/(n-3)!or, 1/(n-5)!=42/(n-3)(n-4)(n-5)!or, 1=42/(n²-3n-4n+12)or, n²-7n+12=42or, n²-7n-30=0or, n²-10n+3n-30=0or, n(n-10)+3(n-10)=0or, (n-10)(n+3)=0Either, n-10=0or, n=10Or, n+3=0or, n=-3∵, n can not be negative ;∴, n=10 Ans.

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SP = 680loss % = 15 %let CP be x so,According to question,x - 15% of x = 680x - (15/100) × x = 680x - (3x/20) = 68017x/20 = 680x = (680×20)/17x = 800So, CP is Rs 800option (b) is correct

As the series is in the increasing powers of (-5)Henceanswer will be sum of k from 1 to infinity (-5)^kHence option a

bna dijiye na

home work hey

5√5 x*x + 30x + 8√5 = 5√5 x*x + 20x + 10x + 8√5 = 5x(√5x + 4)+2√5(√5x+4) = (5x+2√5)(√5x+4)

thanks

V = (4/3)πr³So the volume of a hemisphere will be half of that, which is (2/3)πr³

The volume of a cone of base radius r and height h is:V = (1/3)πr²h

We are told that r = 4.2 cm

The total height of the toy is made up of (the height of the cone) + (height of hemisphere)So the height of the cone = 10.2 - 4.2 = 6 cm

So the volume of the toy = (volume of hemisphere + volume of cone)= (2/3)π * 4.2³ + (1/3)π * 4.2² * 6= 155.2 cm³ + 110.8 cm³= 266 cm³

A) lim x→2- is 2(2)-3 = 1 B) lim x→2+ is (2)²-1 = 3

since both are not equal so, limit at x→2 is not defined.

plz choose my answer the best answer

16.5 is the right answer

kanika scored 33 marks

The twice scored last year

33+33 =66

Ans.in last year kanika scored 66 marks in english

66 is the correct answer

66 is the correct answer

put X=1hence(1)^4+1=1+1=2

In order to compare fractions denominator should be same

For 5/6 and 8/9Take LCM of 6 and 9 which is 18

Now fraction will become 15/18 and 16/18 respectively Now 16/18 >15/18

Thus 8/9>5/6