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1050/HCf=Lcm=1050/15=70=,Lcm

the lcm of a and b is 70

PRINCIPAL= RS.3500TIME= 2yearsRATE=7%INTREST= PRT= 3500*7*2 / 100= 49000 / 100= 490

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Imagine the sum is P rupees.so at 10%annum simple interest and the interest is 2160 rupees

so , According to the question.,

(P × 10 × 6) / 100 = 2160or, P × 10 × 6 = 216000or, P = 216000/60or, P = 3600so the sum will be 3600 rs.(Answer)

Solution:-

Let D₁ and D₂ be the discriminant of the given equations and these will have equal roots only if D₁, D₂≥ 0

Or, if D₁ = (k² -4 × 64) ≥ 0 and D₂ = (64 - 4k) ≥ 0

Or, if k²≥ 256 and 4k ≤ 64Or, if k≥ 16 and k≤ 16Or, k = 16

Hence the positive value of k is 16

8 bottles for 5 children. So, for 40 children = 8×40/5 bottles =64 bottles

TRIACKI=R×T5×3 : 8×315:245:8

Sorry we are currently answering the question posted in English.

We know that area of square = side x sideside^2= 16side= √16=4likewisefor other square it will be √25= 5ratio will be4:5

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Vol of 1 packet=65*65*65=274625cm^3Vol of 6 packet=6*274626=1647750cm^3

volume of one packet is equal to 27 46 25 centimetre cube. volume of six packet is equal to 16 47750 centimetre cube

After putting x= -1determinent of this will be eaual to 0that means its the solution

For determinant to be zero one of the condition is that , all of the elements of one raw or coulmn should be same and if x = -1all the elements of first raw will be same hence x= - 1 is the answer

therefore option b is correct

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1. 12212.12253.2514.451

3/9 is the correct answer.

3/9 is the correct answer of the given question

1/3 is the answer of the following

1/3 is the right answer

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Correct Ans of this question is= 102/9

Given:7 mango drink bottles cost Rs 196

Cost of one bottle=196/7=Rs 28

28 is the right answer.

28 is the correct answer of the given question

28 is the correct answer of the following question

28 is the correct answer

Cost of 7bottle mango= Rs 196" " 1 " " =196/7=28

cast of one mango =196÷7 =28

28 is the right answer

7 mango drink bottle = ₹ 196therefore one bottle cost = 196/7= ₹ 28.

one bottle cost =28right answer

28 rupees is the correct answer

Since 225 > 135, we apply the division lemma to 225 and 135 to obtain225 = 135 × 1 + 90Since remainder 90 ≠ 0, we apply the division lemma to 135 and 90 to obtain135 = 90 × 1 + 45We consider the new divisor 90 and new remainder 45, and apply the division lemma to obtain90 = 2 × 45 + 0Since the remainder is zero, the process stops.Since the divisor at this stage is 45,Therefore, the HCF of 135 and 225 is 45.

AD/DB = AE/ECx/16=34/17x=32

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112/14*(24/12)*(16/8)8*2*2= 32

2×4=8 12345567&^^%%

32

68 ~ 7068 × 7 ~ 70 × 7 ~ 490

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∫ ( sinx + cosx + 2) dx

∫sinx dx + ∫cosx dx + ∫2 dx

- cosx + sinx + 2x + x

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We know, one important identity , sin( A + B) =sinA.cosB + cosA. sinB

let A = x, B = x then, sin( x + x ) = sinx.cosx + cosx .sinx sin2x = 2sinx.cosx

RHS=2tan x/1+tan^2 x = 2tan x/sec^2 x= 2tan x/1÷cos^2 x = 2 × sin x/cos x ×cos^2 x= 2sin x ×cos x= sin2x

Hence proved

Let X be the common multiplehence6x and 4xas breadth =4x=28x=7cmhence length that is 6x=6*7=42cm

1) 4/92) 8/9 is the answerlet 0.4(recarin)=x0.44(recarin)xmultiple with 10 both sides4.44(recarin)= 10x4+.44=10x4+x= 10x4= 10x-x=9xx= 4/9

4/98/9 is the correct answer of the given question

In the given triangleAngle x + 80 = 180 Linear pairAngle x = 180 - 80 = 100

Angle c + 120 = 180 Linear pairAngle c = 180-120 = 60

By angle sum property of triangle

Angle c + Angle x + Angle y = 18060 + 100 + Angle y = 180Angle y = 180-160 = 20

Thus x = 100, y = 20

put the value of function in the below equation {COS(X/2)}² - {SIN(X/2)}². = 1-2SIN²(X/2) . we can use the standard formula for this as cos²(x) - sin²(x) = cos2x so here just replace x with x/2 so cos²(x/2) - sin²(x/2) = cos(x).

Let vertices of triangle are A (-7, 6), B (8, 5) and C (x3, y3)

Given, centroid of triangle (1, 3)

Then,1 = (- 7+8+x3)/33 = 1 + x3x3 = 3 - 1 = 2

3 = (6+5+y3)/39 = 11 + y3y3 = 9-11y3 = - 2

Therefore, coordinates of third vertex are (2, - 2)

Area = 6724assuming it to be square side= √6724= 82mnow perimeter= 4x side= 4*82= 328mplease like the solution 👍 ✔️