A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.
The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.
Answer:
Step-by-step explanation:
We have been given that the area of a square is given by , where x is the length of one side.
Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.
We can represent this information in an equation as:
Therefore, the expression will represent the area of Mary's new garden.
To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.
Therefore, the area of Mary's new garden will be 128 square feet.
Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased