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78601.

s Find the cost of carpeting a room 13 m by 9 m with a cรกrpet U105 per metre.The cost of carpeting a room 15 m long with a carpet of width 75 cm at19200. Find the width of the room80 per metreisur nierr of land are in the ratio of 5: 3. If the total cost

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Let the width of the room be 'b' m

Length of the room = 15 m

Area of the room = 15 × b = 15b m2

Total cost of carpeting = Rs 19200

Cost of carpet per metre = Rs 80

Length of the carpet = 19200 / 80 = 240 m

Width of the carpet = 75 cm = 0.75 m

Area of the carpet = 240 x 0.75

Area of the room = Area of the carpet

⇒15b = 240 × 0.75

⇒ b = (240 × 0.75) / 15 = 12

Therefore, width of the room is 12 m.

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78602.

3) Solve the following questions : (Any Two)(1) When 5 is subtracted from length and breadth of the rectangle, the perimeterbecomes 26. What is the mathematical form of the statement?

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78603.

(a^4/3)×(b^-1/3)+(a^2/3)×(b^1/3)=_________

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78604.

a ^ { 1 / 3 } + b ^ { 1 / 3 } + C ^ { 1 / 3 } = 0 \text { then } ( a + b + c ) ^ { 3 } =

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78605.

त।[1 4 07 3 2 1 3 2 1e=2 3 . B =1 2 3 तथा ८=1 23. ४८3 6 2 4 36 ।। १ ।।*३. ॐॐ

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78606.

105 per meue.cost of carpeting a room 15 m long with a carpet of width 75 cm at ? 80 per metre is19200. Find the width of the room.

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78607.

a*((c*((b*(a^(-2))^(1/3))*(b^(-2))^(1/3)))*(c^(-2))^(1/3))

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(a)^-2/3*b * (b)^-2/3*c * (c)^-2/3*a

= (a)^[-2/3 + 1] * (b)^[-2/3 + 1] * (c)^[-2/3 + 1]

= a^1/3 * b^1/3 * c^1/3

= (abc)^1/3

78608.

EXERCISE 3.10lculate the size of the unknown angles in these polygons.Give reasons for your answers.10070°(110°

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a = 115° + 100° + 70° + a = 360° a = 275°- 360°a = 85°

115°+100°+70°+a=360°275°+a = 360°a=360°-275°a=85°

sum of this figure is 360 ,115+100+70+a=360 ,a =360-275 ,a =275

the total no. of sum of angles in a polygon is 360.

115+100+70+X= 360X= 85.

a+115°+70°+100°=360° ( A.S.P of parallelogram)a+285°=360°a=360°- 285°a=75°

115+100+70+a=360285+a=360a=360-285a=75

78609.

|काता, मु6. यदि 2:(1+3)::6:x, तो x का मान होगा-(a) ,3 -3 (b) 1+3 (c) 1-5

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root(2):(1+root(3)::root(6):x

root(2)*x = root(6)*(1+root(3))

x = root(2)*root(3)(1+root(3))/ root(2)

x = root(3)(1 + root(3))

x = root(3) + 3

78610.

EXERCISE 13.3Find the number of lines of symmetry in each of the following shapes.How will you check your answers?

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a) it has four lines of symmetryb) it has only one line of symmetryc) it has four lines of symmetry

78611.

5. The area of a square is equal to the expression(4x2 + 6 6x 9) sq units. Find an algebraicexpression for the length of the side of the square.Hint: Use method "factorisation by grouping")95

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78612.

If in an A.P. the sum of m terms is equal to n andthe sum of n terms is equal to m, then prove thathe sum of (m + n) terms is -(m +n).

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First term = a , common difference = d

Sm = n

→m/2(2a + (m-1)d) =n …….(1)

Sn = m

→n/2(2a + (n-1)d) =m ……..(2)

Eq. (2) – (1)

2a(n-m) + d(n2-n-m2+m)=2m-n

n-m{2a + d(n+m-1)}=-2(n-m......(3)

2a + d(n+m-1) = -2

Now, Sm+n = m+n/2{2a+(m+n-1)d}

=-(m+n)(using eq. 3)

78613.

If the sum of m terms of an AP is the same as the sum of its n terms, show that (m + n) terms is zero

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78614.

Q. 28. If in an A.P. the sum of m terms is equal to n andthe sum of n terms is equal to m, then prove thatthe sum of (m +n) terms is -(mn).

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First term = a , common difference = d

Sm = n

→m/2(2a + (m-1)d) =n …….(1)

Sn = m

→n/2(2a + (n-1)d) =m ……..(2)

Eq. (2) – (1)

2a(n-m) + d(n2-n-m2+m)=2m-n

n-m{2a + d(n+m-1)}=-2(n-m) …….(3)

2a + d(n+m-1) = -2

Now, Sm+n = m+n/2{2a+(m+n-1)d}

=-(m+n) (usingeq. 3)

78615.

ハ Sive the geometric representations of ym) as an equation0) in one variablei) in two variablesuation

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thanks

78616.

2 .If the sum of m terms of an AP is the same as the sum of its n terms , Show that the sum of its (m+n) terms iszero

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Given sum of m terms of and A.P. is the same as the sum of its n terms

We know sum of n terms of AP= n/2(2a+(n-1)d)Therefore sum of m terms =m/2(2a+(m-1)d)----(1)

sum of n terms=n/2(2a+(n-1)d)-----(2)

According to the problem (1)=(2)

m/2(2a+(m-1)d)=n/2(2a+(n-1)d)

2ma+(m2-m)d=2na+(n2-n)d

(2m-2n)a=(n2-n)d-(m2-m)d

2(m-n)a=n2d-nd-m2d+md

2a(m-n)=-d(m-n)(m+n-1)

a=-d/2(m+n-1)----(3)

From (3) we got a,sum of m+n terms = m+n/2(2(-d/2(m+n-1)+(m+n-1)d)which is 0

Hence sum of its(m+n) terms is Zero

78617.

Show the graph of linear equatin in two variables x+y=4

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78618.

The perimeter of a rectangle is 0 em. Writethe information in mathematical form usingtwo variablesmisle triangle is 25

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I want to know the answer

bahi photo sahi se le lo

78619.

. The cost of carpeting a room 15 m long with a carpet of width 75 cm at R 80 per metre is? 19200. Find the width of the room.

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78620.

The cost of carpeting a room 15 m long with a carpet of width 75 cm at 80 per metre isR 19200. Find the width of the room.

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78621.

7. The cost of carpeting a room 15 m long with a carpet of width 75 cm at 80 per metre isて19200, Find the width of the room.

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78622.

Find the cost of carpeting a room 13 m by 9 m with a carpet of width 75 cm at t105 per metre.

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apap

78623.

7ax^2+14ax+7a

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78624.

ही +7a -8 |

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78625.

ANSWERS EXERCISE 3C)2 (+16) (x + 2)

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(a+b)(a+c)= a^2+ac+bc+abx^2+2x+16x+32x^2+18x+32 Answer

78626.

2 -1 0Illu. 17: If A 3 2and17-13B1-24-1-16] and if 4A + 3C-B,-7 1 1then find the matrix C.(March 2009)

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78627.

1. Subtract the algebraic expression.5a-4b+3c from 3a-2b-7c

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78628.

(iii) (12a17b): 4c

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48ac+68bcwill be the answerplease like the solution 👍 ✔️

78629.

if 2A = 3B = 4C then A : B : C = ?

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2A = 3B = 4C = k A = k/2 B = k/3 C = k/4 A : B : C = k/2 : k/3 : k/4 = 6 : 4 : 3

78630.

CIUTIU20.3. Subtract the sum of -250 and 138 from the sum of 136 and -272.4. From the sum of 33 and -47 zuhiront

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78631.

16. If the sum of 8 terms of an A.P. is 64 and the sum of 19 terms is 361, find thesum of n terms

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78632.

6. □ABCD is a cyclic quadrilateral,mLA=(4x +25°andmLC_ (5x+20)。.Find the value of x and mLC.(1) 15: 75° (2) 15: 80° (3) 15: 85° () 15; 95°

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Opposite angle in cyclic have sum 180°So,angle A + angle C = 180°4x + 25 + 5x + 20 = 180°9x + 45 = 180°9x = 180° - 45°9x = 135°x = 135°/ 9x = 15°So, angle C = 5x + 20 = 75 + 20 = 95°(4) option is correct

78633.

EXERCISE. 4AGive the geometric representations of y - 3 as an equationin one variablein two variables

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78634.

Give the geometric representations of 2x +9(i) in one variable(ii) in two variables0 as an eq

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78635.

y mctusclbougnt101 0122.5 metres of a uniform rod weighs 85.5kg. What will be the length of the same rod weighing22.8kg?6. If

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78636.

If x = (2+15)2+2-.52 and y = (2 +15)2-(2-5)2, then evaluate x ty2

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78637.

-48 %2B 3 %2B 2*15 %2B 15

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78638.

Factorise:1. *-364. 4x*-9y7. 169'-14410. 12x' 2713, 3x - 48x16. 1-fb-'14, 2754) |22. *'-y'-2y - 125. 9a'b' +4b-427. Evaluate (1405)-(395)').2. 4a²-93. 81-49x5. 16a' - 22556. 9a'b? 258. 6302-112b9. 20a -45b11. *° -64x12. 16x144 x14. 16p_4p15. 63a'b?-717. (2013b)* - 16c 18. (I + m) - (1 -m)?20. 36c'-(5a + b21. (3x - 4y) - 25z23. 25-a?-b? - Zab 24. 25a" - 45% +28bc-49026. 100--5)28. Evaluate (7.8)? - (2.2)).

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Factorise:1.x^2-36. =x^-6^2=(x+6)(x-6). (using a^2-b^2)

x^2-36x^2-6^2=(x+6)(x-6)

2.4a^2-9=(2a)^2-(3)^2=(2a+3)(2a-3)

78639.

Add 3a (2b + 5c) , 3c (2a + 2b)

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3a(2b+5c) +3c(2a+2b) = 6ab+15ac+6ac+6bc = 6ab+21ac+6bc = 6(ab+3.3ac+bc)

plz any other reply

78640.

dm by 5 dm. Find the number of stones required.s Find the cost of carpeting a room 13 m by 9 m with a carpet of width 75 cm at the rate of105 per metre.15 m lone with a carpet of width 75 cm at80 per metre is

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78641.

(a + 2b +3c)

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78642.

-3a+2b-3C FROM 4a+b+2c

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78643.

(-7a^2b^3c^0)____________(3a^3b^4c^3)

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Can you please specify the question ! :)

It's written in fraction form

like this

Thank you so much!

78644.

a b c a-2b+3c1 1) If~ ===-=-ma-, then find then value of x.

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we take all value in a formsso, b/4=a/3b=4a/3similarly, c=5a/3

given, a-2b+3c/x = a/3so put the value of 'b' and 'c' in 'a' form, (a-8a/3+15a/3) / x =a/3on solving it, we get, 3a-8a+15a / 3x = a/310a/x=ax=10a/ax=10(Answer) _____________________

78645.

. Subtract (2a -3b + 4c) from the sum of (a +3b 4c), (4a - b + 9c) and (-2b + 3c - a).

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(a+3b+4c+4a-b+9c-2b+3c-a)-(2a-3b+4c)=(4a+4c)-(2a-3b+4c)=4a+4c-2a+3b-4c=2a+3b

waste not the correct a ms pulka

78646.

Give examples of an equation of one variable and an equation of two variables.

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x = 2 is an equation in one variablex+y = 6 is an equation in two variablewhere x and y are two variable

Thankyou 😊😊

78647.

. Subtract the sum of 4a -2b +3c-9 and3b + 4c from the sum of 6b - 6c + 12 and

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78648.

Exercise f.lGive any two examples for linear equations in one variable.

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x - 2 = 7Given, x – 2 = 7By adding 2 to both sides, we getx – 2 + 2 = 7 + 2⇒ x = 7 + 2⇒ x = 9y + 3 = 10Given,y + 3 = 10By subtracting 3 from both sides, we gety + 3 – 3 = 10 – 3⇒ y = 10 – 3⇒ y = 7

78649.

draw the graph of each of the following linear equations in two variables first one x+y=4

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78650.

If 22.5 m of a uniform iron rod weighs 85.5 kg, whatsame rod?much oil will th

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