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)
3 1/3 times 2 1/2 =3 2/6 times 2 3/6 =6 15/6=8 3/6
8 3/6 I THINK
Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.
The commutative property of addition and the associative property demonstrate this.
The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
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The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>
just divide Atlantic/Mississippi
Answer:
280 m
Step-by-step explanation:
a² + b² = c²
450² + b² = 530²
202,500 + b² = 280,900
280,900 - 202,500 = 78,400
√78,400 = 280
