Answer:
26
Step-by-step explanation:
Box 1 = 3 x 3 = 9
Box 2 = 2 x 7 = 17
total = 17 + 9 = 26
-6x + 5 = 17
isolate the x, first subtract 5 from both sides
-6x + 5 (-5) = 17 (-5)
-6x = 12
Then divide -6 from both sides
-6x(/-6) = 12(/-6)
Answer
x = -2
hope this helps
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:
Step-by-step explanation:
The addition of angles ABD and DBC make up the larger angle ABC. We know that angle ABD = 65 and DBC = 60, therefore
angle ABC = 65 + 60 and
angle ABC = 125 degrees