Answer:
386
Step-by-step explanation:
4+4+5x2x5+(3+3+3)x6x6+2+2
=4+4+5x2x5+9x6x6+2+2
=4+4+50+324+2+2
=386
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:
cos(∅) = 3/5
Step-by-step explanation:
cos(∅) = adjacent/hypotenuse
We don't know what the hypotenuse is so we gotta use Pythagorean theorem to find it.
a² + b² = c²
4² + 3² = c²
√(4² + 3²) = c
c = 5 , this is our hypotenus
cos(∅) = adjacent/hypotenuse
cos(∅) = 3/5
Integers are whole numbers, both positive and negative. Therefore, all of the positive and negative whole numbers between these two numbers in a set will be your answer:
Hope this helped, and have a nice day!
