Which of the following are in correct order from greatest to least? pi/2, 330°,5pi/3 ,7pi/6 ,2pi/3 5pi/3,7pi/6 ,2pi/3 , pi/2 , 330° pi/2, 2pi/3 , 7pi/6, 5pi/3, 330° 330°, 5pi/3, 7pi/6,2pi/3 , pi/2 (answer is D)

D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2

Step-by-step explanation:

Lets clear the question first. We have been given 4 options:

A) π/2 , 330°, 5π/3, 7π/6, 2π/3

B) 5π/3, 7π/6 , 2π/3 , π/2 , 330°

C) π/2, 2π/3 , 7π/6, 5π/3, 330°

D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2

Lets convert all the values into degrees

330° = 330°

π/2 = 180/2 = 90°

5π/3 = 300°

7π/6 = 210°

2π/3 = 120°

Arrange them from greatest to lowest.

330° , 300° , 210° , 120° , 90°

or

330° , 5π/3 , 7π/6 , 2π/3 , π/2

which is option D

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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