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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solution #142 is correct. Excellent!

143. In an Arithmetic Progression, 5 times the fifth term is equal to 7 times the seventh term. Find the 12th term.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solution 143 is correct. Excellent!

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

145. Calculate the Standard Deviation of the following data:

38, 40, 34, 31, 28, 26, 34.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solutions 144 and 145 are correct. Brilliant!

146. Find the square root of the polynomial:-

.It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solution 146 is correct. Excellent!

147. A vertical tree is broken by the wind. The top of the tree touches the ground and makes an angle 30° 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.

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

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi,

149. The base of a triangle is 4 centimeters longer than its altitude. If the area of the triangle is 48 square centimeters, then find the base and altitude.

150. Factorize the polynomial :

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solutions 149 and 150 are correct. Marvelous!

151. Find the area of a triangle whose three sides are having the equations x+y = 2, x-y = 0, and x+2y-6 = 0.

152. The line joining the points A(-2,3), and B(a,5) is parallel to the line joining the points C(0,5), and D(-2,1). Find the value of 'a'.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solution 151 is correct. Neat job!

153. Find the Standard Deviation of the first n natural numbers.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solution #153 is perfect. Brilliant!

154. If the circumference of the base of a solid right circular cone is 236 centimeters and its slant height is 12 centimeters, find its curved surface area.

155. Find the volume of a sphere-shaped metallic shot-put having a diameter of 8.4 entimeters.

.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solutions 154 and 155 are correct. Excellent!

156. The largest of 50 measurements is 3.84 kilograms. If the range is 0.46 kilogram, find the smallest measurement.

157. A car left 30 minutes later than the scheduled time. In order to reach its destination 150 kilometers in time, it has to increase its speed by 25 kilometers per hour from its usual speed. Find its usual speed in kilometers per hour.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym,

The solution 157 is correct.brilliant!

158. Find a quadratic equation with zeros at

159. If the area of a ΔABC is 68 square units and the vertices are A(6,7), B(-4,1), and C(a,-9) taken in order, then find the value of 'a'.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Olinguito****Member**- Registered: 2014-08-12
- Posts: 649

*Bassaricyon neblina*

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi Olinguito and bobbym,

The solutions 158 (Olinguito) and 159 (bobbym) are correct. Excellent!

160. A by f height 5 feet away from the pillar of distance 100 feet saw the top of the pillar with angle of elevation 45°. Find the height of the pillar.

161. Volume of a solid cylinder is 62.37 cubic centimeters. Find the radius if its height is 4.5 centimeters.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 24,220

Hi bobbym.

160. Edited. A boy of height 5 feet away from the pillar of distance 100 feet saw the top of the pillar with angle of elevation 45°. Find the height of the pillar.

162. A quadratic polynomial is divided by by (x-2) and (x+1) leave the remainders 11 and 1 respectively, find the polynomial.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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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