Respuesta :
Answer:
B. [tex]\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}[/tex]
Step-by-step explanation:
The question is not properly presented. See attachment for proper presentation of question
From the attachment, we have that:
[tex]W = \frac{3}{25}[/tex]
[tex]X = \frac{\sqrt{3}}{11}[/tex]
[tex]Y = \frac{9}{100}[/tex]
[tex]Z = \frac{\pi}{24}[/tex]
Required
Order from greatest to least
First, we need to simplify each of the given expression (in decimals)
[tex]W = \frac{3}{25}[/tex]
[tex]W = 0.12[/tex]
[tex]X = \frac{\sqrt{3}}{11}[/tex]
Take square root of 3
[tex]X = \frac{1.73205080757}{11}[/tex]
[tex]X = 0.15745916432[/tex]
[tex]X = 0.16[/tex] --- approximated
[tex]Y = \frac{9}{100}[/tex]
[tex]Y = 0.09[/tex]
[tex]Z = \frac{\pi}{24}[/tex]
Take π as 3.14
[tex]Z = \frac{3.14}{24}[/tex]
[tex]Z = 0.13083333333[/tex]
[tex]Z = 0.13[/tex] --- approximated
List out the results, we have:
[tex]W = 0.12[/tex] [tex]X = 0.16[/tex] [tex]Y = 0.09[/tex] [tex]Z = 0.13[/tex]
Order from greatest to least, we have:
[tex]X = 0.16[/tex] [tex]Z = 0.13[/tex] [tex]W = 0.12[/tex] [tex]Y = 0.09[/tex]
Hence, the order of arrangement is:
[tex]X = \frac{\sqrt{3}}{11}[/tex] [tex]Z = \frac{\pi}{24}[/tex] [tex]W = \frac{3}{25}[/tex] [tex]Y = \frac{9}{100}[/tex]
i.e.
[tex]\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}[/tex]
