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  • 1 answers

Mansu . 1 year ago

We have, Area of a triangle by heron's formula= √s(s-a)(s-b) (s-c) Now we know, s = perimeter of triangle/2 So, s=13+13+20/2=23 Let, put the value of s in formula =√23(23-13) (23-13) (23-20) =√23*10*10*3 =√23*2*5*2*5*3 Area = 10√69 cm square
  • 1 answers
We have given interval is 100 - 120. Here upper limit is 120 and lower limit is 100. Hence, answer is 110.
  • 1 answers
a = (√5 + 2)/(√5 – 2) b = (√5 – 2)/( √5 + 2) Concept: First rationalize the values of ‘a’ and ‘b’ and then proceed. Formula used: (a + b)2 = a2 + b2 + 2ab (a + b)(a – b) = a2 – b2 Calculation: ∵ a = (√5 + 2)/(√5 – 2) ⇒ a = [(√5 + 2)( (√5 + 2)]/[(√5 – 2)(√5 + 2)] ⇒ a = [(√5 + 2)2]/[(√5)2 – (2)2] ⇒ a = [5 + 4 + 4√5]/(5 – 4) ⇒ a = (9 + 4√5) Similarly; b = (√5 – 2)/( √5 + 2) ⇒ b = [(√5 – 2)(√5 - 2)]/[(√5 + 2)(√5 – 2)] ⇒ b = [(√5 – 2)2]/[(√5)2 – (2)2] ⇒ b = [5 + 4 – 4√5]/(5 – 4) ⇒ b = (9 – 4√5) Now, a2 + b2 + ab = (a + b)2 – ab ⇒ (9 + 4√5 + 9 – 4√5)2 – [(9 + 4√5)( 9 – 4√5)] ⇒ (18)2 – [(9)2 – (4√5)2] ⇒ 324 – (81 – 80) ⇒ 324 – 1 ⇒ 323 ∴ The value of the given expression is 323.
  • 3 answers

Anurag Singh 1 year ago

x+y=8 xy=15, using : (x+y)^2 = x^2 + y^2 +2(x)(y) , (8)^2 = x^2 + y^2 + 2(15) , 64 = x^2 + y^2 + 30, 64 - 30 = x^2 + y^2 , 34 = x^2 + y^2
x+y=8 xy=15 using : (x+y)^2 = x^2 + y^2 +2(x)(y) (8)^2 = x^2 + y^2 + 2(15) 64 = x^2 + y^2 + 30 64 - 30 = x^2 + y^2 34 = x^2 + y^2

Anurag Singh 1 year ago

x+y=8 xy=15 using : (x+y)^2 = x^2 + y^2 +2(x)(y) (8)^2 = x^2 + y^2 + 2(15) 64 = x^2 + y^2 + 30 64 - 30 = x^2 + y^2 34 = x^2 + y^2
  • 1 answers

Abhijit Garai 1 year ago

Let x = 0.999 10x = 9.999 10x - x =9.999 -0.999 9x = 9 x = 9/9 x = 1
  • 1 answers

Jasmeet Kaur 1 year ago

( √ 5 + √ 2 ) 2 = ( √ 5 ) 2 + ( √ 2 ) 2 + 2 × √ 5 × √ 2 [ ∵ ( a + b ) 2 = a 2 + b 2 + 2 a b ] = 5 + 2 + 2 × √ 5 × √ 2 = 7 + 2 √ 10
  • 3 answers

Binod Binod 1 year ago

In jee 2024

Binod Binod 1 year ago

Have you cracked because I have received AIR -977

Ashis Shome 1 year ago

P(1)=0 P(-1)=6 P(2)=0 P1+p-1+p2=6
  • 1 answers

Abhijit Garai 1 year ago

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  • 1 answers
Hence, the cost of painting the triangular board at the rate of 9 paise per cm2 is Rs 2.16​​​​​​​.
  • 1 answers
In a square A B C D , P , Q , R and S are the mid-points of A B , B C , C D and D A respectively. ⇒ A B = B C = C D = A D [ Sides of square are equal ] In △ A D C , S R ∥ A C and S R = 1 2 A C [ By mid-point theorem ] ---- ( 1 ) In △ A B C , P Q ∥ A C and P Q = 1 2 A C [ By mid-point theorem ] ---- ( 2 ) From equation ( 1 ) and ( 2 ), S R ∥ P Q and S R = P Q = 1 2 A C ---- ( 3 ) Similarly, S P ∥ B D and B D ∥ R Q ∴ S P ∥ R Q and S P = 1 2 B D and R Q = 1 2 B D ∴ S P = R Q = 1 2 B D Since, diagonals of a square bisect each other at right angle. ∴ A C = B D ⇒ S P = R Q = 1 2 A C ----- ( 4 ) From ( 3 ) and ( 4 ) S R = P Q = S P = R Q We know that the diagonals of a square bisect each other at right angles. ∠ E O F = 90 o . Now, R Q ∥ D B R E ∥ F O Also, S R ∥ A C ⇒ F R ∥ O E ∴ O E R F is a parallelogram. So, ∠ F R E = ∠ E O F = 90 o (Opposite angles are equal) Thus, P Q R S is a parallelogram with ∠ R = 90 o and S R = P Q = S P = R Q ∴ P Q R S is a square.
  • 1 answers

Anurag Saikia 1 year ago

A number which can be expressed in a simple fractional form of p/q where q≠0 is called a rational number. Eg: 1/10, 827/20838 etc.
  • 1 answers

Chandan Suri 1 year ago

(i) equation of x-axis is y=0. (ii) equation of y-axis is x=0.
  • 5 answers
10

Rehan Khan 1 year ago

The symbol of rational number

Kayna Gupta 1 year ago

3x−5y−7=0 3(2k−1)−5(k)−7=0 6k−3−5k−7=0 k−10=0 k=10 Hope this helps you 😊

Kayna Gupta 1 year ago

3x−5y−7=0 3(2k−1)−5(k)−7=0 6k−3−5k−7=0 k−10=0 k=10 Hope this helps you 😊

Hem Raj 1 year ago

10
  • 2 answers

Aliya Parween 1 year ago

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Atul Kumar 1 year ago

KN and LM are equal perpendicular to a line segment AB
  • 1 answers

Tanvi Bhatt 1 year ago

Let the angles be x and 3x. We know that sum of adjacent angles of parallelogram is 180° x+3x=180 x= 45° 3x= 135° .:. angle A=angle C=45 Angle B= angle D= 135
  • 1 answers
Y=115°; X= 115°; Z= 25° Step-by-step explanation: Y= 180°-65°=115° (Cointerior angles) X=Y= 115° (Corresponding Angles) Z=90°+z+65°=180° = 155°+z=180° Z= 25°
  • 2 answers

Anubhav Dubey 1 year ago

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Kawaii _ 1 year ago

15.2 cm^2
  • 2 answers

Harshal Patil 1 year, 1 month ago

(3x+7y)³ = (3x)³+(7y)³+3 × 3x × 7y(3x+7y) =27x³+343y³+63xy(3x+7y) =27x³+343y³+189x²+441xy². Ans.

Ritika Burnwal 1 year, 1 month ago

(3x+7y)³ = (3x)³+(7y)³+3 × 3x × 7y(3x+7y) =27x³+343y³+63xy(3x+7y) =27x³+343y³+189x²+441xy². Ans.
  • 2 answers

Ritika Burnwal 1 year, 1 month ago

Here given, x= -2 and y=5 So, 2x+my=11 Therefore, 2(-2)+m(5)=11 -4+5m=11 5m=11+4 m=15/5 m=3

Aditya Singh 1 year, 1 month ago

3

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