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)
Answer:
Y= X/4+2
Step-by-step explanation:
So first you find the slope and the y intercept
the slope is 1/4 and the y intercept is 2
so the equation would be Y= X/4+2
Not sure but probably it’s b or c
Okay so you would line them up then you would multiple 5 and 0 then 7 and 5 and then you add a 0 then you would get the answer 350 then you would multiply the same numbers then the answer you would get is 3500 then you add 3500+350=3850
Since the number of T-shirts must be a whole number (she cannot use half a t-shirt), the total number must be a multiple of 7 (at least 4 pink t-shirts + 3 purple t-shirts must exist). The only answer choice which is not a multiple of 7 is D) 48.