The sum of the 2 smallest sides of a triangle must be greater than the length of its longest side
4 < x < 20
5 < x < 9
Ok, well let me start you off with an example first. Suppose you have triangle ABC with side lengths 6 and 15. What is the range of the possible values of the third side? What I would do first is sketch a picture of triangle ABC and assign 6 and 15 to any two sides, it doesn't matter what two sides and I'll show you why in a moment. To solve this problem, you need to set up an inequality using the Triangle Inequality Theorem. This theorem simply states that any two sides of a triangle must add up to be greater than the third side. To do this, we need to set up two inequalities: 6 + 15 < x and 6 + x > 15. Simplify both those inequalities to solve for x. You should get x>21 and x>9. Now, all you need to do is set up a compound inequality using those two inequalities you just simplified and you should get: 9<x<21 Easy right? :)
Ah hah! That little word "which" is pretty much a giveaway ... I'll just bet there wassome kind of a list of choices that was supposed to go along with the question, butsomehow got lost.Anyway, the correct inequality is: 3 < x < 13 .
A clipped range refers to a subset of a broader range that has had its extremes truncated or limited to specific values. This concept is often used in statistics or data visualization to focus on a particular segment of data while ignoring outliers or extreme values. Clipping helps in better analysis and interpretation of data by emphasizing the central tendencies without the distortion caused by extreme values.
0.64
To find the range of possible lengths for the third side of a triangle with sides of lengths 3 and 6, we use the triangle inequality theorem. The sum of the lengths of any two sides must be greater than the length of the third side. Therefore, the third side (let's call it ( x )) must satisfy the inequalities: ( x < 3 + 6 ) and ( x > 6 - 3 ). This results in ( x < 9 ) and ( x > 3 ), so the possible lengths of the third side range from greater than 3 to less than 9, or ( 3 < x < 9 ).
to find the range of values of triangle. Add the value of the sides of the given sides...is it?
Sine and cosine functions represent the ratios of the lengths of sides of a right triangle relative to the hypotenuse. Since these ratios involve the lengths of the triangle's legs (which are always shorter than or equal to the hypotenuse), the values of sine and cosine cannot exceed 1. Additionally, on the unit circle, the coordinates of any point (x, y) are constrained within the range of -1 to 1, which further reinforces that the maximum and minimum values of sine and cosine are also limited to this range.
Domain: All Possible "x" values Range: All possible "y" values
Domain is what you can plug into the function (possible x values for y=f(x) type functions) and range is the possible values you can get out (possible y values).
What sort of range-distance of an object, range of a plane, range of possible values, are all possible.
The possible values of ( y ) in a function are called the range of the function. The range includes all output values that the function can produce based on its domain, which is the set of all possible input values. Understanding the range helps to analyze the behavior and limitations of the function.
Range, when talking about math, is all the possible y values.
The allowable values of x are called the "domain", and the resultant set of possible y values are called the "range".
4 < x < 20
5 < x < 9