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)
Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim
<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>
<em />
To show that a statement is true, you need evidence.
Take for instance:
The evidence that the above proof is true is by taking the <em>squares of both sides of </em>
However, a counterexample does not need a proof per se.
What a counterexample needs is just an instance or example, to show that:
An instance to prove that: is false is:
Hence, the complete statement could be:
<em>In a direct proof, evidence is used to support a proof
. On the other hand, a counterexample is a single example that shows that a proof is false.</em>
<em />
Read more about evidence and counterexample at:
brainly.com/question/88496
Answer: Hello!.......
1e-12 I am SOOO sorry if im wrong. I'm So sorry. Hope this helps you.♥
Step-by-step explanation:
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-Anna♥
Answer:
2x-10+x+x+10=180, or 4x=180
Step-by-step explanation:
So since the total is 180, you add them all up like an equation.
So,
2x-10+x+x+10
Combine like terms
4x=180
x=45
Then plug it back in to the equations.
x=45
(2x-10)=80
(x+10)=55
Answer:
<h2>17</h2>
Step-by-step explanation:
f(x) = 11 - 3x
f(-2) - <em>put x = -2 to the f(x):</em>
<em />
f(-2) = 11 - 3(-2) = 11 + 6 = 17
