Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 160 is correct. Good work!

163. Find the area f the quadrilateral formed by the points (-4,5), (0,7), (5,-5), and (-4,-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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 163 is correct. Excellent!

164. Find the equation of straight line whose angle of inclination is

and y-intercept is

.

165. If the curved surface area of a solid sphere is 98.56 square centimeters, then find the radius of the sphere.

.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 165 is correct. Good work!

166. (i) Calculate the Standard Deviation of the first 13 natural numbers.

166. (ii) From a well shuffled pack of 52 cards , one ard is drawn at random. Find the probability of getting (a) a black king (b) a spade card.

---

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.

NakulG

Member

Registered: 2014-09-02

Posts: 186

Re: Compute the solution:

Hi;

same answer no two answers

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

Hi;

Hi NakulG;

You are correct, I got two answers but they are the same.

---

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.

NakulG

Member

Registered: 2014-09-02

Posts: 186

Re: Compute the solution:

Hi Can you please explain solution of 162

Thanks
Nakul

Hi bobbym,

The solution 160 is correct. Good work!

163. Find the area f the quadrilateral formed by the points (-4,5), (0,7), (5,-5), and (-4,-2).

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym and NakulG,

bobbym :- The solutions 166 (i) and (ii) [(a) and (b)] are correct. Excellent!

NakulG,

.

167. Find the value for K for which the given points are collinear:
(2,-5), (3,-4), and (9.K).

168. Using the concept of slope, show that the points (-2,-1), (4,), (3,3), and (-3,2) taken in order form a parallelogram (mid-points of AC and BD are the same).

---

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.

NakulG

Member

Registered: 2014-09-02

Posts: 186

Re: Compute the solution:

Thanks, i understood.
But why isnt' the quadratic polynomial assumed to be ax^2 + bx + c = 0...

Hi bobbym and NakulG,

bobbym :- The solutions 166 (i) and (ii) [(a) and (b)] are correct. Excellent!

NakulG,

.

167. Find the value for K for which the given points are collinear:
(2,-5), (3,-4), and (9.K).

168. Using the concept of slope, show that the points (-2,-1), (4,), (3,3), and (-3,2) taken in order form a parallelogram (mid-points of AC and BD are the same).

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi NakulG,

Hope your explanation is better now! (I have edited the solution).

167, 168 :-

167. Find the value for K for which the given points are collinear:
(2,-5), (3,-4), and (9.K).

168. Using the concept of slope, show that the points (-2,-1), (4,), (3,3), and (-3,2) taken in order form a parallelogram (mid-points of AC and BD are the same).

---

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.

NakulG

Member

Registered: 2014-09-02

Posts: 186

Re: Compute the solution:

Thanks.

I was trying to solve it by taking ax^2 + bx + C =0 where a was an extra variable i.e., 3 variables (a,b, & c) and 2 equations.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 167 is correct. Neat work!

169. An iron right circular cone of diameter 8 centimeters and height 12 centimeters is melted and recast into spherical lead shots each of radius 4 millimeters. How many lead shots can be made?

170. A test in General Knowledge was conducted for a class. The marks out of 40 obtained by 6 students were 20, 14, 16, 30, 21, and 25. Find the Standard Deviation of the data.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solutions 169 and 170 are correct. Brilliant!

171. If

are the roots of the equation

, form a quadratic equation whose roots are

.

172. Find the area of a quadrilateral whose vertices are (-3,4), (-5,-6), (4,-1), and (1,2).

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solutions 171 and 172 are correct. Marvelous!

173. The angle of elevation of the top of a hill from the top of a tower is

and the angle of elevation of the top of the tower from the foot of the hill is

. If the tower is 50 meter high, find the height of the hill.

174. A heap f paddy is in the form of a cone whose diameter is 4.2 meters and height is 2.8 meters. If the heap is to be covered exactlyby a canvas to protect it from rain, then find the area of the canvas needed.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi,

173. Edit. The angle of elevation of the top of a hill from the foot of a tower is

and the angle of elevation of the top of the tower from the foot of the hill is

. If the tower is 50 meter high, find the height of the hill.

174. A heap of paddy is in the form of a cone whose diameter is 4.2 meters and height is 2.8 meters. If the heap is to be covered exactlyby a canvas to protect it from rain, then find the area of the canvas needed.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solutions 173 and 174 are correct. Excellent!

175.A train covers a distance of 90 kilometers at a uniform speed. Had the speed been 15 kilometers per hour more, it would have taken 30 minutes less fpr the journey. Find the original speed of the train. (in kilometers per hour)

---

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.

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Compute the solution:

Last edited by Olinguito (2015-02-17 04:16:35)

---

Bassaricyon neblina

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi Olinguito and bobbym,

The solution 175 is correct. Brilliant!

176. factorize :

177. The total surface area of a right circular cylinder is 231 square centimeters. Its curved surface area is two-thirds of the total surface area. Find the radius and height of the cylinder.

---

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.