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Hi bobbym,
#2424. The angle of elevation of the top of a tower at a distance of 120 meters from a point A on the ground is 45 degrees. If the angle of elevation of the top of a flagstaff fixed at the top of the tower, at A is 60 degrees, then find the height of the flagstaff. Use
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 bobbym,
#2425. If -5 is a root of the quadratic equation
and the quadratic equation has equal roots find the value of k.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,
.
#2426. The sum of the first 7 terms of an Arithmetic Progression is 63 and the sum of its next 7 terms is 161. Find the 28th term of this Arithmetic Progression.
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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Only a friend tells you your face is dirty.
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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 math9maniac and bobbym,
The solution #2426 : common difference = 2, first term = 3 as math9maniac atated and 28th term = 57 as bobbym stated is perfect! Excellent!
#2427. Find the values of 'k' for which the points (3k - 1, k - 2), (k, k - 7), and (k - 1, -k -2) are collinear.
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
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 #2427 is correct! Brilliant!
#2428. Find the perimeter of a triangle with vertices (0,4), (0,0), and (3,0).
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
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
Hi bobbym,
#2429. Solve :
.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
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
Hi bobbym,
The two solutions to #2429 are correct! Magnificent!
#2430. the sum of the squares of two consecutive even numbers is 340. Find the numbers.
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
Only a friend tells you your face is dirty.
Offline
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
Hi math9maniac and bobbym,
The solution #2430 is correct! Good work, math9maniac and bobbym!
#2431. Solve :
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
Only a friend tells you your face is dirty.
Offline
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
Hi math9mania and bobbym,
One of the solutions, x = 0, which you have given, is correct! Neat work, math9maniac!
The two solutions in #2431 are correct! Excellent, bobbym!
#2432. If 1 is a root of the quadratic equation
and the quadratic equation has equal roots, find the value of 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
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
Hi bobbym,
#2433. Find the next term of the Arithmetic Progression
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
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
Hi bobbym,
Regarding #2432, there were transposing errors, by oversight! (Since rectified)
The solution #2433 is correct! Neat work!
#2434. If the sum of n terms of an Arithmetic Progression is
, find the nth term of this Arithmetic Progression.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
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
Hi bobbym,
The solution #2434 is correct! Neat work!
#2435. The sum of the squares of two consecutive multiples of 7 is 637. Find the multiples.
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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