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:
- 15, - 16
Step-by-step explanation:
-15 + (-16) = - 15 - 16 = - 31
Answer:
5
Step-by-step explanation:
An area is just a number squared, so we need to find the square root of the area.
Square root of 25 = 5
So each edge is 5 feet.
Hope this helps :)
Answer:
Question 1: RS=47
Question 2: x=6
Step-by-step explanation:
Question 1:
Step 1: 3x+5=2x+15+6x-37
Step 2: 3x+5=8x-22/2
Step 3: 3x+5=4x-11
Step 4: x=16
Step 5: 2(16)+15=32+15=47
<u>RS= 47</u>
<u />
Question 2:
Step 1: 7x+2+25x-14=180
Step 2: 32x-12=180
Step 3: 32x=192 (divide 32 from each side)
<u>x=6</u>
<u />
Answer:
1.
C. 6561 is the answer that the table represents
