Math Is Fun Forum

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: 48,424

Re: Compute the solution:

Hi bobbym,

The solution 176 and 177 are correct. Excellent!

178. The largest sphere (with maximum volume) is curved out of a cube f side 14 centimeters. Find the volume of the sphere.

.

179. Find the Standard Deviation of the first 10 natural 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.

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: 48,424

Re: Compute the solution:

Hi bobbym,

The solutions 178 and 179 are correct. brilliant!

180. Find the square root of

.

181. If

are the roots of the equation

, form an equation whose roots are

(a)

(b)

(c)

.

---

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: 48,424

Re: Compute the solution:

Hi bobbym,

The solutions 180 (|x² - 5x + 6|) and 181 (x² - 6x + 3 = 0, (27x² - 18x + 1 = 0), and (3x² - 18x + 25 = 0) are correct. Brilliant!

182. 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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Compute the solution:

Hi,

183. The vertices of ΔABC are A(2,1), B(6,-1), and C(4,1). Find the equation of the straight line along the altitude from the vertex A.

184. The line 4x + 3y - 12 = 0 intersect the x-axis, y-axis at A and B respectively. Find the area of ΔAOB.

---

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:

---

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: 48,424

Re: Compute the solution:

Hi Olinguito and bobbym,

.

The solution 184 is correct. Excellent, Olinguito and bobbym!

185. A vertical tree is broken by the wind. The top of the tree touches the ground and makes an angle of

with it. If the top of the tree touches the ground 30 meters away from its foot, then find the actual height of the tree.

186. Using clay, a student made a right circular cone of height 48 centimeters and base radius 12 centimeters. Another student reshaped it in the form of a sphere. 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.

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Compute the solution:

Last edited by Olinguito (2015-02-20 03:06:51)

---

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: 48,424

Re: Compute the solution:

Hi Olinguito and bobbym,

.

Both the solutions, 185 and 186, are correct. Brilliant, bobbym! Keep trying, Olinguito!

187. Find the Greatest Common Divisor of

188. 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.

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.

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Compute the solution:

Grrr, silly me. For #185 I used sin instead of tan. I am really angry with myself.

---

Bassaricyon neblina

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,424

Re: Compute the solution:

Hi bobbym and Olinguito,

The solutions

and

are correct.. Marvelous,  bobbym!

Keep trying, Olinguito! You are very young and have a flourishing career!

189. how many liters of water will a hemispherical tank hold whose diameter is 4.2 meters?

190. (a) Find the equations of the straight lines parallel to the coordinates axes and passing through the point (3,-4).

190. (b) If A = {4, 6, 7, 8, 9}. B = {2, 4, 6}, and C = {1, 2, 3, 4, 5, 6}, then find

.

---

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: 48,424

Re: Compute the solution:

Hi bobbym,

The solutions 189, 190 (a), and 190 (b) are correct. Tremendous performance!

191. The speed of a boat in still water is 15 kilmeters per hour. It goes 30 kilometers upstream and returns downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.

192. Simplify :

.

Have a Wonderful Sunday!

---

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: 48,424

Re: Compute the solution:

Hi bobbym,

The solutions 191 and 192 are correct. Stupendous!

If A = {4,6,7,8,9}, B = {2,4,6}, and C = {1,2,3,4,5,6}, then find

193.

194. A \ (C \ 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.

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: 48,424

Re: Compute the solution:

Hi bobbym,

The solution 193 is correct. Good work!

Write the firsr three terms of the following series whose nth term is given by

195. 

196.

197.

.

---

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: 48,424

Re: Compute the solution:

Hi bobbym,

The solutions 195 and 196 are correct. Brilliant!

Regarding 197,

would be appropriate. Regretted.

Find the indicated terms in each of the sequences whose nth terms are given by

198. 

199.

.

---

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.