Answer:
The rectangular coordinates of the point are (3/2 , √3/2)
Step-by-step explanation:
* Lets study how to change from polar form to rectangular coordinates
- To convert from polar form (r , Ф) to rectangular coordinates (x , y)
use these rules
# x = r cos Ф
# y = r sin Ф
* Now lets solve the problem
∵ The point in the rectangular coordinates is (√3 , π/6)
∴ r = √3 and Ф = π/6
- Lets find the x-coordinates
∵ x = r cos Ф
∵ r = √3
∵ Ф = π/6
∴ x = √3 cos π/6
∵ cos π/6 = √3/2
∴ x = √3 (√3/2) = 3/2
* The x-coordinate of the point is 3/2
- Lets find the y-coordinates
∵ y = r sin Ф
∵ r = √3
∵ Ф = π/6
∴ y = √3 sin π/6
∵ sin π/6 = 1/2
∴ y = √3 (1/2) = √3/2
* The y-coordinate of the point is √3/2
∴ The rectangular coordinates of the point are (3/2 , √3/2)
There are 52 cards in a deck of cards so that makes 52 your denominator. There are 4 aces in a deck of cards, so 52 - 4 = 48 making 48 your numerator. so the probability the card won't be an ace is 48 out of 52.
48/52 chance that the card will not be an ace.
Hope this helps you. :-)
Answer:
answer is
Step-by-step explanation:
The number of students in order from least to greatest is 14<24<27<54
Step-by-step explanation:
Total students = 150
16% students play soccer
No. of students play soccer = 
9/25 play basketball
No. of students play basketball = 
 play football
No. of students play football = 
No. of students do not play anything = 14
The number of students in order from least to greatest is 14<24<27<54
irrational numbers never end.
r: 2.3495, 65.4279, 39, 7, 54, 2.45, 64, 20, 6, 1.3, 7101.
ir: 0.24244..., 89.3668..., 7.121314..., 2.6363...
