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Posted by Disha Kumari 4 years, 2 months ago
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Prasitha Rajasekar 4 years, 2 months ago
Gaurav Seth 4 years, 2 months ago
There can be infinitely many rational numbers between 3 and 4.
Thus, six ratonal numbers between 3 and 4 are .
Alter
Thus, six rational numbers between 3 and 4 can be taken as
Posted by Jayant Kaushal 4 years, 2 months ago
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Yogita Ingle 4 years, 2 months ago
Surface area of cube=6a2
According to the given condition,
6a2=726.
Implies, a2=121.
Implies, a=11.
Volume of the cube=a3=113=1331 cubic cm.
Posted by Prashant Sharma 4 years, 2 months ago
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Sumedh Rajurkar 4 years, 2 months ago
Gaurav Seth 4 years, 2 months ago
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Posted by Prashant Sharma 4 years, 2 months ago
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Gaurav Seth 4 years, 2 months ago
135 and 225 Since 225 > 135, we apply the division lemma to 225 and 135 to obtain 225 = 135 × 1 + 90 Since remainder 90 ≠ 0, we apply the division lemma to 135 and 90 to obtain 135 = 90 × 1 + 45 We consider the new divisor 90 and new remainder 45, and apply the division lemma to obtain 90 = 2 × 45 + 0 Since the remainder is zero, the process stops. Since the divisor at this stage is 45, Therefore, the HCF of 135 and 225 is 45.
Posted by Anshul Rana 4 years, 2 months ago
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Gaurav Seth 4 years, 2 months ago
Step - by -step explanation:
x = 0.621.....
1 0 0 0 x = 6 2 1.6 2 1
9 9 9 x = 6 2 1
x = 6 2 1 / 9 9 9
= 2 0 7 / 3 3 3
= 69 / 111
= 23 / 37
Posted by Aishwarya Pradeep 4 years, 2 months ago
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Gaurav Seth 4 years, 2 months ago
The given equation is,
(2a - b)³ + (b - 2c)³ + 8(c - a)³
= (2a - b)³ + (b - 2c)³ + (2c - 2a)³
Let x = (2a - b) ; y = (b - 2c) ; z = (2c - 2a)
Now,
x + y+ z = (2a - b) + (b - 2c) + (2c - 2a) = 0
Since, x + y + z = 0, then,
x³ + y³ + z³ = 3xyz
⇒ (2a - b)³ + (b - 2c)³ + (2c - 2a)³ = 3(2a - b) (b - 2c) (2c - 2a)
⇒ (2a - b)³ + (b - 2c)³ + 8(c - a)³ = 6(2a - b) (b - 2c) (c - a)
Posted by Tanu Tomar 4 years, 2 months ago
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Sunisha Flower Decoretion 4 years, 2 months ago
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Posted by Supriyo Satyadarshi 4 years, 2 months ago
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Yogita Ingle 4 years, 2 months ago
Since, OC = OB (Radii of the same circle)
∴ ∠OBC = ∠OCB
⇒ ∠OBC = 57°
In △OBC, we have
∠OBC + ∠BOC + ∠OCB = 180°
57° + ∠BOC + 57° = 180°
⇒ ∠BOC = 66°
In △OAB,we have
∠OAB + ∠OBA + ∠AOB = 180° (Since, AO=OB ∴ ∠OAB = ∠OBA)
30° + 30° + ∠AOB = 180°
⇒ ∠AOB = 180° – 60°
⇒ ∠AOB = 120°
∠ABC = 180 - ∠AOB - ∠OAB
= 180- ( 120° + 30)°
= 30°
Gaurav Seth 4 years, 2 months ago
Solution :-
Since, OC = OB (Radii of the same circle)
∴ ∠OBC = ∠OCB
⇒ ∠OBC = 57°
In △OBC, we have
∠OBC + ∠BOC + ∠OCB = 180°
57° + ∠BOC + 57° = 180°
⇒ ∠BOC = 66°
In △OAB,we have
∠OAB + ∠OBA + ∠AOB = 180° (Since, AO=OB ∴ ∠OAB = ∠OBA)
30° + 30° + ∠AOB = 180°
⇒ ∠AOB = 180° – 60°
⇒ ∠AOB = 120°
∠AOC = ∠AOB - ∠BOC
= 120° – 66° = 54°
Posted by Mukund Lohia 4 years, 2 months ago
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Divya Gupta 4 years, 2 months ago
Kashish Rajput 4 years, 2 months ago
Yogita Ingle 4 years, 2 months ago
Range is the difference between the largest and smallest data in a data set.
Range of 15,8,27,26,39,7,21,45
Heightst number = 45
Lowest number = 8
Range = 45 - 8 = 37
Posted by Sangeetha Ks 4 years, 2 months ago
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Posted by Thomas Antony Thomas Antony 4 years, 2 months ago
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Yogita Ingle 4 years, 2 months ago
Zeroes of a polynomial p(x) is real number ‘a’ for which polynomial p(x) if p(a) = 0.
E.g.: For p(x) = x-2 , p(2) = 2-2 =0. Thus 2 is zeroes for polynomial p(x)= x-2
Note: Every real number is a zero of the zero polynomial p(x)=0.
There is no Zero for polynomial p(x)=8.
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Aishwarya Satish 4 years, 2 months ago
1Thank You