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#1001 2009-03-13 03:13:38

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#1698. What is the value of

?

#1699. What is the value of

?

#1700. In what Progression (Arithmetic, Geometric, or Harmonic) Profression are

?


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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#1002 2009-03-14 22:23:45

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Find the value of x in each of the following six questions.
Give the value in degrees or radians.

#1701. 2sin3x = √3

#1702.

#1703. √3 sin x = cos x

#1704. tan x = sin45°cos45° + sin30°

#1705. √3 tan 2x = cos60°  + sin45°cos45°

#1706. cos 2x = cos60°cos30° + sin60°sin30°


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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#1003 2009-03-14 22:25:33

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

Whoa, I just realised that you have around 300 questions unanswered...

I'll try to answer these all but it might take some time. sad

(see post #953)


Last edited by Devantè (2009-03-14 22:30:54)

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#1004 2009-03-14 22:45:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Answers to #1406, and #1407:-
Both correct, Devantè! Well done!
gdjb621.jpg
Yes, there are many unanswered questions. It would be nice if one or more members complete answering all of them!


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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#1005 2009-03-15 00:04:37

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

#1707. Find the 24[sup]th[/sup] term of the Arithmetic Progression
9, 13, 17, 21, 25, .....

#1708. The first term of an Arithmetic Progression is -7 and the common difference is 5. Find its 18[sup]th[/sup] term.

#1709. How many terms are there in the sequence 3, 6, 9, 12, ...., 111?

#1710. Which term of the sequence 4, 9, 14, 19, .... is 124?


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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#1006 2009-03-15 01:09:21

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions




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#1007 2009-03-15 01:24:22

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions



Last edited by Devantè (2009-03-15 01:38:34)

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#1008 2009-03-15 06:02:54

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Answers to #1555, #1675, #1698, #1707, #1708, #1709, and #1710:-
All answers other than #1698 are correct, Devantè!
grtjb1.gif


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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#1009 2009-03-15 06:09:56

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions


Last edited by Devantè (2009-03-15 06:14:40)

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#1010 2009-03-15 06:21:16

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions


Last edited by Devantè (2009-03-15 06:25:25)

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#1011 2009-03-15 06:22:07

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Answers to #1543 and #1698:
Answer #1698 is correct, Devantè!
Regarding #1543,

gudjb2.gif


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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#1012 2009-03-15 06:24:42

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

Oh ok, thanks.

I'll try to answer as many as I can tonight. smile

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#1013 2009-03-15 06:28:32

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

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#1014 2009-03-15 06:30:03

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Answers #1566, #1690, and #1698:-
Answer to #1566:- Correct, Devantè!
wd1213.jpeg
Devantè, Your answer to #1698 in Post #1020 was correct. It is 0.5.
Regarding #1690, you just missed the bus! it is 20 digits! 64 x 0.3 is 19.2 and Antilog of 19.2 consists 20 digits, does't it?


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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#1015 2009-03-15 06:31:02

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

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#1016 2009-03-15 06:33:28

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

ganesh wrote:

Answers #1690 and #1698:-
Devantè, Your answer to #1698 in Post #1020 was correct. It is 0.5.
Regarding #1690, you just missed the bus! it is 20 digits! 64 x 0.3 is 19.2 and Antilog of 19.2 consists 20 digits, does't it?

Ouch... my mistake. sad

Are you sure 0.5 is the answer to 1698? I get sqrt(1-1.5) = sqrt(-0.5)

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#1017 2009-03-15 06:36:19

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 10 second questions

It is sqrt(1-0.75) = sqrt(0.25).

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#1018 2009-03-15 06:41:28

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

@JaneFairfax; oh, you're right. I made an error in calculation... (sqrt(3)/2)^2 is 3/4.

Last edited by Devantè (2009-03-15 06:41:58)

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#1019 2009-03-15 06:43:52

Devantè
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Posts: 6,400

Re: 10 second questions

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#1020 2009-03-15 06:46:09

Devantè
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Posts: 6,400

Re: 10 second questions

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#1021 2009-03-15 07:06:30

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Answers to #1573, #1603, #1616, and #1618:-
All the answers other than#1618 are correct, Devantè !

vg1111.gif


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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#1022 2009-03-15 07:10:25

Devantè
Real Member
Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

Re-did the question, and yes, I got 72% too. Slight error in calculation. smile

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#1023 2009-03-15 07:12:56

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Answer to #1637:
The answer you have given is correct, Devantè!
Well done again!!!


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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#1024 2009-03-15 07:13:01

Devantè
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Registered: 2006-07-14
Posts: 6,400

Re: 10 second questions

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#1025 2009-03-15 07:19:32

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: 10 second questions

Answer to #1638:-
Perfectly right, Devantè
gudjb7.gif


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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