Answer:
Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.
Step-by-step explanation:
i) to find the area of a circle or circumference the radius , r, is required.
ii) if we are given the diameter, d. then we have to find the radius, r, by dividing the diameter by 2, that is 
.
iii) area of the circle is given by A = 
iv) circumference of the circle is given by C = 
Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.
Answer:
What do you want your answer in? Exact or decimal form?
Exact form: 212/3
Decimal form 70.6
Step-by-step explanation:
Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.
Answer:
Optimal combination of goods can be determined in an economy that produces only two goods, with production of extra units of the two goods at a minimal marginal social cost. The consumption of the additional units of the two goods being produced will be benefitted by the consumers. This is known as marginal social benefit.
Step-by-step explanation:
Marginal social cost is the change in society's total cost brought about by the production of an additional unit of a good or service. It includes both marginal private cost and marginal external cost.
Marginal social benefit is the change in benefits associated with the consumption of an additional unit of a good or service. It is measured by the amount people are willing to pay for the additional unit of a good or service.
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
- sin(A) = opposite/hypotenuse = BC/AB
- cos(B) = adjacent/hypotenuse = BC/AB
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
