A triangle has sides a, b, and c. Their lengths are 12 units, 13 units, and 25 units, respectively. What is the measure of the angle between sides a and b?
The angle's measure cannot be determined because no such triangle can exist. All triangles have the property that the sum of the lengths of any two sides of the triangle must exceed the length of the remaining side. However, in our triangle, the sum of the lengths of sides a and b do not exceed the length of side c (i.e. 12 + 13 = 25 which is NOT greater than 25).
What is a thesis statement?
A thesis statement is the part of the essay where the author lets the audience know what will be the central argument of the essay. It should be broad enough to encompass all of the topics covered in the essay, and restrictive enough to describe the specific pillars of the main argument. The thesis statement often appears towards the end of the introduction.
Why do companies depreciated fixed assets? (Hint: think about the relationship between the matching principle and how fixed assets are "consumed")
Unlike raw materials that actually "disappear" as they are consumed (e.g. I no longer have a piece of lumber once I use it to build a wooden chair), fixed assets are "consumed" through their use over time. This consumption helps earn revenue as the fixed asset is used in the company's business processes to provide products/services. According to the matching principle, expenses must be recognized in the same period in which revenues earned by incurring those expenses are earned. Consequently, the use of the fixed asset must be recognized as an expense to match the cost of using the fixed asset with the revenue earned by using the fixed asset. This expense is called depreciation.