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#3876 2015-07-30 22:13:22

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

#2424. The angle of elevation of the top of a tower at a distance of 120 meters from a point A on the ground is 45 degrees. If the angle of elevation of the top of a flagstaff fixed at the top of the tower, at A is 60 degrees, then find the height of the flagstaff. Use

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3877 2015-08-01 01:03:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

#2425. If -5 is a root of the quadratic equation

and the quadratic equation
has equal roots  find the value of k.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3878 2015-08-01 16:19:34

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3879 2015-08-01 16:45:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

.

#2426. The sum of the first 7 terms of an Arithmetic Progression is 63 and the sum of its next 7 terms is 161. Find the 28th term of this Arithmetic Progression.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3880 2015-08-02 09:40:32

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Oral puzzles


Only a friend tells you your face is dirty.

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#3881 2015-08-02 10:43:31

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3882 2015-08-02 13:43:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi math9maniac and bobbym,

The solution #2426 : common difference = 2, first term = 3 as math9maniac atated and 28th term = 57 as bobbym stated is perfect! Excellent!

#2427. Find the values of 'k' for which the points (3k - 1, k - 2), (k, k - 7), and (k - 1, -k -2) are collinear.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3883 2015-08-02 18:48:52

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3884 2015-08-02 20:19:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

The solution #2427 is correct! Brilliant!

#2428. Find the perimeter of a triangle with vertices (0,4), (0,0), and (3,0).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3885 2015-08-03 17:50:27

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3886 2015-08-03 19:23:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

#2429. Solve :

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3887 2015-08-04 12:37:11

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3888 2015-08-04 13:43:06

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

The two solutions to #2429 are correct! Magnificent!

#2430. the sum of the squares of two consecutive even numbers is 340. Find the numbers.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3889 2015-08-06 02:59:59

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Oral puzzles


Only a friend tells you your face is dirty.

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#3890 2015-08-06 11:18:02

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3891 2015-08-06 14:41:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi math9maniac and bobbym,

The solution #2430 is correct! Good work, math9maniac and bobbym!

#2431. Solve :

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3892 2015-08-06 17:56:08

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Oral puzzles


Only a friend tells you your face is dirty.

Offline

#3893 2015-08-06 19:45:13

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3894 2015-08-06 20:11:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi math9mania and bobbym,

One of the solutions, x = 0, which you have given, is correct! Neat work, math9maniac!

The two solutions in #2431 are correct! Excellent, bobbym!

#2432. If 1 is a root of the quadratic equation

and the quadratic equation
has equal roots, find the value of b.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3895 2015-08-07 13:25:58

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3896 2015-08-07 15:01:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

#2433. Find the next term of the Arithmetic Progression


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3897 2015-08-07 20:29:51

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3898 2015-08-07 21:50:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

Regarding #2432, there were transposing errors, by oversight! (Since rectified)

The solution #2433 is correct! Neat work!

#2434. If the sum of n terms of an Arithmetic Progression is

, find the nth term of this Arithmetic Progression.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3899 2015-08-09 09:27:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3900 2015-08-09 14:42:56

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Oral puzzles

Hi bobbym,

The solution #2434 is correct! Neat work!

#2435. The sum of the squares of two consecutive multiples of 7 is 637. Find the multiples.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

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