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#5401 2017-04-01 06:31:55

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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#5402 2017-04-01 06:32:08

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

#5403 2017-04-01 08:36:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3730 is correct. Excellent, bobbym!

#3731. Find acute angles A and B, if

and
, A > 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.

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#5404 2017-04-01 10:50:10

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

#5405 2017-04-01 15:08:06

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solutions in #3731 are correct. Good work, bobbym!

#3732. In rectangle ABCD, AB = 20 cm, angle BAC = 60 degrees, calculate side BC and diagonals AC and BD.


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

#5406 2017-04-01 16:38:01

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

#5407 2017-04-02 00:02:23

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3732 (three parts) is correct. Good work, bobbym!

#3733. In ΔPQR, right-angled at Q, PQ = 3 cm and PR = 6 cm. Determine angle P and angle R.


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

#5408 2017-04-02 11:46:44

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

#5409 2017-04-02 16:04:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3733 is correct. Neat work, bobbym!

#3734. Show that the points A(1,-1), B(5,2) and C(9,5) are collinear. Find AB, BC, and AC.


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

#5410 2017-04-02 19:15:12

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

#5411 2017-04-02 22:44:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3734 is correct. Good work, bobbym!

#3735. In ΔABC right-angled at B, angle A = angle C. Find the values of
(i) sinAcosC + cosAsinC
(ii) sinAsinB + cosAcosB.


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

#5412 2017-04-03 22:28:28

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

#5413 2017-04-03 22:37:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3735 (two parts) are correct. Neat work, bobbym!

#3736. A rhombus of side 20 cm has two angles of 60° each. Find the lengths of the diagonals.


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

#5414 2017-04-04 04:52:31

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

#5415 2017-04-04 14:10:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3731 is correct. Excellent, bobbym!

#3732. The altitude AD of ΔABC, in which angle A obtuse, and AD = 10 cm. If BD = 10 cm and CD = 10√3 cm, determine angle A.


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

#5416 2017-04-04 16:12:51

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

#5417 2017-04-04 17:03:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3732 is correct. Good work, bobbym!

#3733. If

find A and 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

#5418 2017-04-04 20:27:11

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

#5419 2017-04-04 22:22:22

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3733 is correct (two parts). Neat work, bobbym!

#3734. Evaluate:

.


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

#5420 2017-04-05 03:06:43

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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#5421 2017-04-05 14:26:36

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

#5422 2017-04-05 14:39:23

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3734 is correct. Neat work, math9maniac and bobbym!

#3735. Evaluate:

.


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

#5423 2017-04-05 15:46:28

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

#5424 2017-04-05 17:06:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,429

Re: Oral puzzles

Hi;

The solution #3735 is 0, but I think you missed the -2 part. Good attempt, bobbym!

#3736. Evaluate:

.


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

#5425 2017-04-05 18:07:53

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

Re: Oral puzzles

Hi;

I did miss the -2!


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

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