x²+8x+16

=x²+2(4)(x)+4²
=(x+4)²                  ...[∵(a−b)²=a²−2ab+b²]
=(x−4)(x−4)

The S.P. of an article = Rs. 1636.25

The dealer makes a profit = Rs. 96.25

We have the formula to calculate the gain and the gain percentage as:

∴ The cost price of the article is,

= S.P. - Gain

= Rs. 1636.25 - Rs. 96.25

= Rs. 1540

Now,

The gain percentage is,

= 

= 

= 

Thus, his gain percentage is 6.25%.

Metals react with acids to produce hydrogen gas. If a matchstick is brought near the mouth of the tube containing the product of the reaction then we hear a pop sound. It is this hydrogen gas that burns with a pop sound.

• For instance, Magnesium reacts with dilute hydrochloric acid to form magnesium chloride and hydrogen.

• Copper does not react with hydrochloric acid but reacts with sulphuric acid.

James Mill

area = 1/2 × product of diagonals
so area = 1/2 × 30 ×16 = 240 cm²

also diagonals bisect each other at right angles
so 1/2×30= 15cm,,,, 1/2×16 =8cm

therefore by Pythagoras theorem,
15² + 8² = side²
√289 = side
side = 17 cm

thus perimeter = 4 × 17 = 68 cm

Decibel

Sound is another form of energy that travels in the form of waves either through a liquid, air, or even solid substances. Since this energy can be measured, the most common SI unit of sound that is used is Decibel which is abbreviated as dB.

The following are the benefits of car pooling:
1. It is  Cost effective.
2. It results in reduction of pollution
3. It leads to reduction traffic on roads.
4. It helps in saving of fossil fuels.

Commercial grain farming is the large scale production of grains for sale in the world markets. Wheat and Maize are the 2 most common grains which are grown commercially.
Commercial farming
includes commercial grain farming,
mixed farming 
and plantation agriculture
Mixed farming is a type of agricultural practise in which different activities are conducted on the same farm. The purpose is to increase the income through different sources. Eg. Farming of crops and rearing cattle on the same land is known as mixed farming. It helps in recycling soil nutrients by crop rotation. It also helps in maintaining soil biodiversity and prevents soil erosion.  

When there is more than one force acting upon the same body. The different forces is altogether replaced by a single force. This force is called resultant force.


The formula of resultant force is F∨R = F∨1 + F∨2 + F∨3
If the force F∨2 is perpendicular to the force F∨1 then the formula is 
F∨R = F∨1 + F∨3 - F∨2 



EXAMPLE --
If three forces 60N , 45N and 30N are acting on a body simultaneously. 30N is opposite to the direction of other two. Calculate the resultant force.

SOLUTION -- 
As per the formula we will place the quantities. 

(60N + 45N) - 30N 
105N - 30N
= 75N

Hence, the resultant force for the question asked is 75N.
 

Les riches arts et métiers de Nagaland dépeignent le calibre artistique et l'imagination créatrice des artisans locaux de l'état du nord-est de l'Inde. Le Nagaland possède plusieurs petites industries artisanales et moyennes qui produisent des produits raffinés de l'art traditionnel de l'État.

L'art du tissage est principalement le domaine des femmes folkloriques du Nagaland. L'industrie du tissage est l'une des industries importantes du Nagaland qui a ajouté à la solidité financière de l'État du nord-est de l'Inde. Les femmes du Nagaland dessinent de beaux motifs sur des morceaux de tissu pour les rendre colorés et attrayants. Les excellents motifs de conception des châles Angami Naga témoignent des compétences artistiques uniques des artistes qui ont hérité de l'art de leurs ancêtres. Les hommes du Nagaland produisent d'excellentes pièces de bois. Les artistes sculptent des dessins exquis sur les pièces en bois. L'un des arts traditionnels du Nagaland, l'industrie de la sculpture sur bois produit de beaux produits qui ont un statut de renommée internationale.

Les habitants indigènes locaux du Nagaland maîtrisent l'art de fabriquer des paniers à la fois décoratifs et fonctionnels. Les paniers de différentes tailles et formes sont utilisés à diverses fins. Les ornements traditionnels du Nagaland reflètent le riche patrimoine culturel du lieu. La population indigène du Nagaland adore porter de lourds bijoux les jours d'occasions festives. Les habitants du Nagaland dessinent de belles images d'animaux et d'oiseaux sur les murs de leurs maisons pour les rendre attrayants. Nagaland est célèbre pour produire plusieurs beaux objets en bambou et en canne à sucre.

Nagaland est célèbre pour produire d'excellents pots de boue. Les pots de Nagaland sont utilisés pour stocker l'eau. Le travail du métal est une autre industrie qui a prospéré dans l'état du nord-est.

The rich arts and crafts of Nagaland portray the artistic caliber and creative imagination of the local craftsmen of the north eastern state of India. Nagaland has several small scale cottage and medium scale industries that produce fine products of the traditional art of the state.

The art of weaving is primarily the domain of the female folk of Nagaland. The weaving industry is one of the important industries of Nagaland that has added to the financial strength of the north eastern state of India. The women of Nagaland design beautiful patterns on pieces of cloth to make them colorful and attractive. The excellent design patterns on the Angami Naga shawls bears relic to the unique artistic skills of the artists who have inherited the art from their forefathers. The men folk of Nagaland produce excellent pieces of wooden work. The artists carve exquisite designs on the wooden pieces. One of the traditional arts of Nagaland, the wood carving industry produces beautiful products that have an internationally acclaimed status.

The local indigenous inhabitants of Nagaland master in the art of making baskets which are decorative and functional as well. The baskets of different sizes and shapes are used for variety of purposes. The traditional ornaments of Nagaland reflect the rich cultural heritage of the place. The native population of Nagaland love to wear heavy jewelries on days of special festive occasions. The local citizens of Nagaland draw beautiful pictures of animals and birds on the walls of their houses to make them look attractive. Nagaland is famous for producing several beautiful items of bamboo and cane work.

Nagaland is famous for producing excellent pieces of pots from mud. The pots of Nagaland are used for storing water. The metal work is another industry that has flourished in the north eastern state.
 

I study in St. Peters Acadamy. It is the oldest one in this region. It was established by a Christian Missionary in 1980. It has created many histories by achieving so many events to its credit. The Principal is always appointed by the missionary. The man of high academic repute and administrative quality is appointed here as Principal. Teachers are also of high talent. There are five thousand students. Its students always bring high laurels to school and region by achieving bright result in Board Examinations. I am proud of my school.

Industries in the cooperative sector are owned and operated by a collective of individuals. The suppliers of raw materials are typically the participants. handloom, food manufacturing and everyday goods are instances of such sectors.

Example: Amul is an instance of cooperative sector society.