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)
11 pt. = 176 oz.
(Double-check if this doesn't sound correct)
Let the cost of renting a chair be x and for renting a table be y than 5x + 3y = 31 and 2x + 6y = 52 2x+ 6y = 52 can be further simplified to x + 3y = 26 now try solving for x and y... best of luck:D
Answer:-$60
Step-by-step explanation: the answer is -$60 because multiply 40 by 4 you get $160 and you only have $100 so then you would 100-160=-60
For #6 draw a triangle between the points and find the middle by drawing the lines to the middle. There should be triangles within the triangles which finding the hypotenuses should be the same.
