Answer:
No, the 270 cm rope Clint has is not enough to do the job.
Explanation:
The height of tree where rope has to be tied = 180 cm
The distance of the stake from the base of the tree = 200 cm
We can say that the arrangement makes a right angle triangle, with the right angle situated at the base of the tree. The figure is attached below. Consult it for better understanding.
Length of the rope can be found by using Pythagoras theorem.
(Length of rope)² = 180² + 200²
Length of rope = 269 cm
As it is stated the additional 30cm of rope is required for tying from both ends. Total length of rope required is:
Total length of rope = 269 + 30
Total length of rope = 299 cm
As length of rope required is 299cm, the 270 cm rope Clint has is not enough to do the job.
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Answer:
1) A progressive tax is defined as a tax whose rate increases as the payer's income increases. That is, individuals who earn high incomes have a greater proportion of their incomes taken to pay the tax. A regressive tax, on the other hand, is one whose rate increases as the payer's income decreases.
2) The government has few choices of action to protect its domestic industries. It can implement trade barriers as for example the import quotas and tariffs on imported goods. The two are both lower the consumer's welfare. The tariffs usually would increase the prices of imported goods, therefore consumers would choose the domestic good, meanwhile the import quotas decrease the supply of imports and consumers are obligated to purchase domestic goods of prices higher than the imported goods.
3) Public good is a commodity or service that is provided without profit to all members of a society while private goods is a product that must be purchased to be consumed. There are few reasons for which the government's action is necessary to ensure the provision of public goods such as the very efficiency of this action, the goods and services might be beneficial not only for the purchaser, but other individuals, the value of the good and service becomes greater than what an individual can pay, and also it boosts the economic equity.
4) The government applies equal taxes and regulations to protect the competition. It needs to apply those in order to prevent the creation of monopoly.
5) The censorship has at its core to prevent or to minimalism one's knowledge or access to a product, therefore as a consequence it can increase the prices and have negative consequences on companies and economy in general.
Answer: B (130)
Explanation:
A trapezoidal Riemann sum can be found by multiplying the width (the change in x) of each sub interval by the average of the y values of the two points at either end of the section and then adding up all of the sun intervals. Therefore, the trapezoidal approximation would equal 0.5(40) + 1.5(50) + 1(35) to get the answer of 130.
