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i) number of red cards = 26. Probability of a red card = 26/52 = 1/2ii) numbe of face cards = 12Probability of a face card = 12/52= 3/13Please hit the like button if this helped you

there is no solution for the above equation because always 5^x will be greater than x^2-1.

cosec(-thita) = -cosecthita (thita = acute angle)

Cosec(-1410) = -cosec1410

= -cosec(360*3+330)

= -cosec(330)

= -[-cosec(270+60)]

= +[sec60]

= +2

Suppose numbers are x and y x + y = 2490 6.5% of x = 8.5% of y 6.5x = 8.5y 13x = 17y x = 17y/13 17y/13 + y = 2490 30y/13 = 2490 y = 83×13 = 1079 x = 2490 - 1079 = 1411

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No. of event= 5 ( no. of vowel)Total event=26P(E)=5/26

Y u had written x 2 times

because it is isosceles triangle..so 2 angles will be same

AM of number a and b = (a + b)/2 GM of number a and b = √ab

Here, AM : GM = m : n (a + b)/2 : √ab = m : n (a + b)/2√ab = m/n Applying componendo and dividendo rule,(a + b + 2√ab)/(a + b - 2√ab) = (m + n)/(m - n)(√a² + √b² + 2√ab)/(√a² + √b² -2√ab) = (m + n)/(m - n) (√a + √b)²/(√a - √b)² = (m + n)/(m - n) take square root both sides,( √a + √b )/(√a - √b) = √(m + n)/√(m - n) again applying componendo and dividendo,( √a + √b + √a - √b)/(√a + √b - √a + √b) = {√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }2√a/2√b = {√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }√a/√b = {√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }taking square both sides, a/b =[{√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }]²a/b = {m + n + m - n - 2√(m² - n²)}/{m + n + m - n -2√(m² - n²)}a/b = {2m + 2√(m² - n²)}/{2m - 2√(m² - n²)}a/b = {m + √(m² - n²)}/{m - √(m² - n²)}

hence, a : b = m + √(m² - n²) : m - √(m² - n²)

4s(s+2) that is a answer

4s^2+8s4s(s+2) is the factor

it is the right answer of x

4s(s+2) is the correct answer

4s² + 8s= 4s(s+2)is the factor of the given equation.

4s(s+2) is the best answer

4s(s+2)that is a correct answers

4s(s+2) is the best answer

4s(s+2) is the correct answer

4s (s+2) is the correct answer.

4s(s+2)is is the best answer

4s(s+2).....right answers.....

4S ( S + 2 ) is answer

4s(s+2) is the correct answer

answer hoga 4s(s+2) it's the answer

4s(s+2) is the correct answer

4s(s+2) 4s=0 s+2=0 s=0/4. s= -2 s=p

thanks

Ans :- Wheneverthelarger number (a2) is underneaththex, then it isa horizontal ellipse. (You can remember this becausethex-axis isthe horizontal axis.) 2)Tell ifthisellipseishorizontal orverticalandfindits center point,a, and b. Now we need to decide if thisellipseisvertical or horizontal.

-9×2x=-22x=-2/-9x=0.222/2x=0.11

9x^2 - 4 = (3x+2)(3x - 2)So, (9x^2 - 4)/(3x+2)= [(3x+2)(3x-2)] / (3x +2)= 3x - 2

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9x^2-64(3x)^2-(8)^2(3x+8)(3x-8)thanks

9x^2-16y^2= (3x)^2-(4y)^2

Formulaa^2-b^2= (a+b)(a-b)Herea= 3xb= 4ySo(3x+4y)(3x-4y)Please like the solution 👍 ✔️👍

why 9x^2 becomes 3x^2

800000 - 800

= 799,200

wrong answer

=3x2-3xFactorise, take 3x common=3x(x-1)

Ans :- A factory or manufacturing plant is an industrial site, usually consisting of buildings and machinery, or more commonly a complex having several buildings, where workers manufacture goods or operate machines processing one product into another.

8(x+2y) is the answer

8 × x +8×2×y =8(x+2y)

LHS = cos(3π/2 + x).cos(2π+x)[cot(3π/2 -x) + cot(2π+ x) ]

we know, cos(3π/2 + x) = sinx cos(2π+x) = cosx cot(3π/2 -x) = tanx cot(2π+x) = cotx, use this here,

= sinx.cosx[tanx + cotx ]= sinx.cosx [sinx/cosx + cosx/sinx]= sinx.cosx[(sin²x + cos²x]/sinx.cosx = (sin²x + cos²x ) = 1 = RHS

x-1/x-2+x-3+x-4 =3 1/3x-1/3x-9 = 10/3x-1/3(x-3) =10/3x-1/x-3 = 10x-1= 10(x-3)x-1 = 10x-3010x-x = 30-19x= 29x = 29/9

1. cos(A+B) = cosA cosB - sinA sinB.2. cos(A - B) =cosA cosB + sinA sinB.3. sin(A+B) = sinA cosB +cosA sinB.4. sin(A - B) = sinA cosB - cosA sinB.

lets say A+B = C and A-B = DAdd equations of number (1) and (2) , i.e. (1) + (2) ->cos C + cos D = 2 cos [(C+D)/2 ] cos [ (C-D)/2 ]and Subtract equation of number (4) from (3), i.e. (3) - (4) ->sin C - sin D = 2 cos [(C+D) /2 ] sin[(C- D) /2]

so cos 7x + cos 5x = 2 cos(12x/2) cos ( 2x/2)and sin 7x - sin 5x = 2 cos(12x/2) sin ( 2x/2 )

(cos 7x + cos 5x)/sin 7x - sin 5x = cos(x)/sin(x)= cot(x).

12xy(3x-4y)(3x+4y)------------------------------4xy(3x+4y)

=3(3x-4y)

9x²+24xy+16y²

= (3x)²+2*(3x)*(4y) +(4y)²= (3x+4y)²

thanks

Given (3x + 4y) = 16 andxy = 4

(3x + 4y)^2 = 9x^2 + 16y^2 + 24xy

16*16 = 9x^2 + 16y^2 + 24*4

9x^2 + 16y^2 = 256 - 96= 160

Let the two no be x and ytherefore x / y = 5 / 66 * x = 5 * y6 * x - 5 * y = 0 * 5 30 * x - 25 * y = 0..................(i)also (x - 8)/(y - 8) = 4 / 55 * x - 40 = 4 * y - 325 * x - 4 * y - 8 = 0 *630 * x - 24 * y - 48 = 0 .....................(ii)subtracting (i) from (ii)y - 48 = 0y = 48putting y = 48 in x/y = 5/6x/48 = 5/6x = 5 * 48 / 6x = 5 * 8x = 40therefore the two numbers are 40 and 48

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I don't get it pls explain deeply

angle 1 and angle 3 are equal because they are corresponding.And angle 3 and 2 are Co-interior so angle 3 + angle 2=180* . so angle 2 = 120* .Half of 120* is 60*(angle 1)

6xy - 4y + 6 - 9x= 6xy - 4y - 9x + 6= 2y(3x - 2) - 3(3x - 2)= (2y - 3)(3x - 2)

4p²-9q²(2p)²-(3q)²

a²-b²=(a-b)(a+b)

(2p)²-(3q)²=(2p+3q)(2p-3q)

The given figure is regular pentagon.

So, all angles must be equal.

We know sum of all angles in pentagon is 540°.

5 × ( 9x - 18°) = 540°

9x - 18° = 540°/5

9x - 18° = 108°

9x = 108° + 18°

9x = 126°

x = 126°/9

x = 14°

So, each angle is 9x - 18° = 9 ×14 - 18

= 108°

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7x is the best answer

7x is the correct answer

(9+1-3) x = (10-3)x = 7x is the proper answer

7x is the proper answer

9x+x-3x = 10x- 3x= 7x

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thanks

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