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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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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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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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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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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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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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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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#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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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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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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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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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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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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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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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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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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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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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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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.
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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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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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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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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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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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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.
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