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#6451 2016-02-14 03:39:20

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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#6452 2016-02-14 17:32:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5653 is correct! Excellent!

#5654. Find, in terms of

, the length of the arc that subtends an angle of 30 degrees at the center of a circle of radius 4 centimeters.


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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#6453 2016-02-14 21:32:48

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.

Offline

#6454 2016-02-14 23:21:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5654 is correct! Excellent!

#5655. Find the angle subtended at the center of a circle of radius 5 cm by an arc of length

cm.


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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#6455 2016-02-15 03:03:33

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: 10 second questions

Hi;

I am a bit rusty on sectors. Is it...

Last edited by Relentless (2016-02-15 03:05:32)

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#6456 2016-02-15 04:45:36

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.

Offline

#6457 2016-02-15 17:46:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi Relentless and bobbym,

The solution #5655 is correct! Neat work!

#5656. An arc of length

cm subtends an angle of 144 degrees at the center of a circle. Find the radius of the circle.


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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#6458 2016-02-15 19:12:45

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.

Offline

#6459 2016-02-15 23:35:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5656 is correct! Excellent!

#5657. Find the sum of first 51 terms of an Arithmetic Progression whose second and third are 14 and 18 respectively.

#5658. An arc of length 15 cm subtends an angle of 45 degrees at the center of a circle. Find in terms of

, the radius of the circle.


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

#6460 2016-02-16 05:05:29

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.

Offline

#6461 2016-02-16 17:02:07

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solutions #5657 and #5658 are correct! Marvelous!

#5659. In an Arithmetic Progression, the sum of first ten terms is -150 and the sum of its next ten terms is -550. Find the Arithmetic Progression (first term and common difference).


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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#6462 2016-02-16 18:30:02

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.

Offline

#6463 2016-02-16 22:44:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5659 is correct! Good work!

#5660. Evaluate:

.

#5661. 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.

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#6464 2016-02-17 02:29:42

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: 10 second questions


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

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#6465 2016-02-17 03:23:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi Monox D. I-Fly,

The solutions, #5660 and #5661, are correct! Magnificent!

#5662. Reena has pens and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, then number of pencils would become 4 times the number of pens. Find the original number of pens and pencils.


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

#6466 2016-02-17 09:21:09

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.

Offline

#6467 2016-02-17 16:12:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5662 is correct! Neat work!

#5663. Find the Least Common Multiple of

.

#5664. Find the value of 'k' for which the roots are real and equal in

.


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

#6468 2016-02-17 19:04:06

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.

Offline

#6469 2016-02-17 19:32:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solutions

and
are correct! Good work!

#5665. If the area of the triangle ABC is 68 square units and the vertices of A (6,7), B (-4,1), and C (a,-9) taken in order, find the value of '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

#6470 2016-02-17 19:36:58

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.

Offline

#6471 2016-02-17 20:26:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5665 is correct! Excellent!

#5666. The radii of two right circular cylinders are in the ratio 3:2 and their heights are in the ratio 5:3. Find the ratio of their curved surface areas.

#5667. Find the volume of a sphere-shaped metallic shot-put having diameter of 8.4 cm.

.


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

#6472 2016-02-18 05:21:38

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.

Offline

#6473 2016-02-18 17:22:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5666 is correct. Neat work!

#5668. Find the area of the quadrilateral formed by the points (-4,-2), (-3,-5), (3,-2), and (2,3).


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

#6474 2016-02-19 15:20:06

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.

Offline

#6475 2016-02-19 18:02:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: 10 second questions

Hi bobbym,

The solution #5668 is correct! Excellent!

#5669. If one root of the equation

is twice the other, then find the value of '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

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