Probably the movement on a swing can be approximated by assuming that the magnitude of each swing will be a certain percentage of the previous swing (because of lost energy).
A right Triangle
The ball does not return to its initial height after bouncing. So the height it reaches after the first bounce will be a fraction of the initial height, etc. This is a geometric sequence with common ratio 5/8.
"Not as a decimal or fraction as there are an infinite number of digits." This is a common and useful answer. The *correct* answer is that PI is firstly an irrational number that cannot be calculated from any ratio (fraction). Secondly, PI is a transcendental number that, by the definition of "transcendental", cannot be exactly calculated. The nest you can do is to apply an infinite convergent series that becomes more and more accurate with more and more decimal places.
A set of numbers is bounded if there exist two numbers x and y (with x ≤ y)such that for every member of the set, x ≤ a ≤ y. A set is unbounded if one or both of x and y is infinite. Similar definitions apply for sets in more than 1 dimension.
yes. technically all decimals have an infinite amount of zeros behind them. you just have to apply significant digits to find how much zeros you are suppose to write.
A right Triangle
infinite
A right angled triangle.
You can't apply for series 5 as it was filmed at the same time as series 4 but you can apply for series 6 when the application form on cbbc comes out.
Infinite. You can apply any number you can to a and b
Corollary.Theorem.Definition.Postulate.
Corollary.Theorem.Definition.Postulate.
F is not a geometric shape that is used. The standard geometric term vertex means the intersection point of two sides of a plane figure. If F is meant to represent figure this term might apply.
An aperiodic signal cannot be represented using fourier series because the definition of fourier series is the summation of one or more (possibly infinite) sine wave to represent a periodicsignal. Since an aperiodic signal is not periodic, the fourier series does not apply to it. You can come close, and you can even make the summation mostly indistinguishable from the aperiodic signal, but the math does not work.
It enabled mathematicians to apply algebra to solve geometric problems.
To achieve a geometric constraint, you first identify the necessary relationships between the geometric entities in your design, such as points, lines, circles, or surfaces. Next, you apply the appropriate constraints that govern these relationships, such as distance, angle, parallelism, or tangency. This can typically be done using CAD software tools, where you select the entities and apply the desired constraints, ensuring that the design maintains its intended shape and dimensions. Finally, verify that the constraints are correctly applied and adjust as needed to achieve the desired geometric configuration.
The ball does not return to its initial height after bouncing. So the height it reaches after the first bounce will be a fraction of the initial height, etc. This is a geometric sequence with common ratio 5/8.