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#1726 2010-09-19 23:28:25

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

Re: 10 second questions

Hi ganesh;

Out of gas, need some sleep. See you later!


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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#1727 2010-09-20 00:26:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

Me too! That was a marathon session.

#2431. When you write numbers from 1 to 10,000, how many times would the number 9 be written?


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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#1728 2010-09-20 18:29:33

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

Re: 10 second questions

Hi ganesh;


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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#1729 2010-09-21 01:03:27

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution 2431 is correct! Good work!

#2432. What is the value of

.

#2433. If

, then what is the value of

.?


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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#1730 2010-09-21 07:24:38

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

Re: 10 second questions

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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#1731 2010-09-22 00:42:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2433 is correct. Very good!

The solution to 2432 is

#2434. In triangle ABC, angle C is equal to 90 degrees, AC = 15, BC = 8, find sec A.

#2435. If

, then what is the value of

?


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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#1732 2010-09-22 01:40:32

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

Re: 10 second questions

Hi ganesh;

I got that too but hesitated to put it as the answer. Good question!


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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#1733 2010-09-23 01:05:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

#2436. Find the value of tan 40[sup]o[/sup] tan 50[sup]o[/sup] tan 60[sup]o[/sup]?

#2437. If cos (A - B) = sin (A + B) = 1/2 where A and B are positive, then what is the smallest positive value of A + B in degrees?


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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#1734 2010-09-23 05:36:28

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

Re: 10 second questions

Hi ganesh;


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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#1735 2010-09-24 00:44:27

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution 2436 is correct. Well done!

Regarding 2437, the solution is A + B = 150 degrees. A - B = 60, A + B is not equal to 30 degrees.

#2438. If

, then what is the value of

#2439. If

, then what is the value of

?


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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#1736 2010-09-24 08:58:49

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

Re: 10 second questions

Hi ganesh;

I once asked someone smarter than me when I would stop making mistakes. He said never!
I did not believe him but I was just making another mistake.

Yep, looking at your question again you did say A and B are positive. So you are correct.


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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#1737 2010-09-24 17:42:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

I get

for 2438. 2439 is perfect. Well done!

#2440. A running train crosses a stationary pole in 4 seconds and a platform 75 meters long in 9 seconds. Find the speed of the train and its length.


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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#1738 2010-09-24 18:29:02

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

Re: 10 second questions

Hi ganesh;

You might be right about 2438 , I don't know.


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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#1739 2010-09-25 00:44:07

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2440 is 60 meters, 15 m/s.

#2441. Find the value of A + B if (1 + tan A)(1 + tan B) = 2?


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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#1740 2010-09-25 06:59:29

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

Re: 10 second questions

Hi ganesh;


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

#1741 2010-09-25 21:52:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2441 is correct. Good work!

#2442. If

, then what is the value of

?

#2443. Find the value of

#2444. Find the value of

if

.

#2445. What is the value of

?


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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#1742 2010-09-26 02:55:59

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

Re: 10 second questions

Hi ganesh;


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

#1743 2010-09-26 17:37:10

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions 2443, 2444, and 2445 are 1/27, cos theta = 1/3, and (1 + cos A)/sin A.

The solution 2442 is perfect.

#2446. Find the value of

.


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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#1744 2010-09-26 19:39:17

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

Re: 10 second questions

Hi ganesh;

Are you sure that 2443 is 1 / 27 ? Each number in the numerator is 1 / 3 of the one in the denominator.

You get from it

Also for  2445



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

#1745 2010-09-26 22:31:56

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

I get (1/3 x 1/3 x 1/3) in the denominator for 2443.

The solution to 2446 is perfect. Well done!

#2447. Find the value of

.


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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#1746 2010-09-27 06:07:01

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

Re: 10 second questions

Hi ganesh;

Yes, you are right on 2443. I mistook that addition sign for another multiplication! I am using a new browser and have not adjusted it for font sizes correctly yet. Sorry!


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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#1747 2010-09-29 18:27:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2447 is perfect. Brilliant!

#2448. Find the value of

#2449. What number should come in the place of x in the given equation?

?

#2450. Simplify:

?


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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#1748 2010-09-29 19:11:20

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

Re: 10 second questions

Hi;

I need a little help with #2448 and #2450. What does the overbar notation mean here?


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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#1749 2010-09-29 19:25:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,395

Re: 10 second questions

Hi bobbym,

A vinculum is a bar drawn over two or more algebraic terms to indicate that they are to be treated as a single term. It is a horizontal bar placed over two or more terms to show that they are to be treated together, equivalent to enclosing them in a parenthesis.


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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#1750 2010-09-29 20:12:05

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

Re: 10 second questions

Hi ganesh;

Thank you for explanantion.


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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