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: d-9
Step-by-step explanation: d equals the savings so it says she spent four dollars and then five, so just add those and subtract it from the savings
Answer:
The sum of four and a number multiplied by two
Step-by-step explanation:
ABCDEDJGHIKLMNOP
sorry just wanted to see if the bold thing works
is the inequality that describes this problem
<h3><u>Solution:</u></h3>
Given that Travis can spend no more than $125.75 every month
To find: linear inequality that describes the problem
Let the amount spent on movies = x dollars
Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies
Amount spent on video games = 4.3 (amount spent on movies)
Amount spent on video games = 4.3x
Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75
<em><u>Thus, the inequality representing the situation is:</u></em>
Thus the required inequality is found
