How was the colony different from a protectorate

A protectorate is defined as a state, however it is under the protection of another country in exchange for something else. Â The state may have something to offer a larger country, in order for such an agreement to work. Â A colony is defined as a territory which is governed by another country. There is no sovereignty for a colony, it is under the direct rule of another country. While the two may seem similar, there are significant differences which make a protectorate and colony different.

In a protectorate, any types of foreign relations are directed toward the country that is protecting the territory. Â There is more of a sense of security for a small state knowing that they can rely on their protector as a defender. Â If a colony has any foreign relations they are created and run by the country they are a part of. Â There are times when a protectorate is created for reasons of peace and image. Â A country may feel if it demonstrates an alliance with smaller states it demonstrates as a leader and a stronger country. Â This is different from a nation which has various colonies. Â Other countries can view a nation with several colonies as a threat. Â A growing country can lead to a new superpower in the world, and that does not sit well with all. Â For a large country having a protectorate or a colony, it is beneficial in many ways.

An example of a protectorate is the island of Barbados. Â Today, Barbados is considered its own state, however it was once a protectorate of The United Kingdom. Â Barbados was protected by the United Kingdom’s militia in case any other nation chose to invade. Â In order to seal this agreement, Britain was able to take advantage of decreased sugar cane prices, as the island is a large producer of sugar. Â A good example of a colony can be seen in the history of New England. Â English settlers came to the Americas still under the king’s rule, however they were in a whole new territory. Â The same rules and laws applied to the colonists as the British citizens who remained in England.

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the perimeter of a triangle is 69 cm. side a is 5 cm shorter than side b. side c is twice as long as side a. find the length of each side. i need to know how to do it in 2 equations.  

equations:

a = b-5

c = 2a

a + b + c = 69