The ratio will always be 3.14
Answer:

Step-by-step explanation:
Given
Represent point A as thus;

Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

Then, y is negated to give A'

Answer:
729 ways
Step-by-step explanation:
Given
Number of questions = 6
Choices = 3
Required
Number of ways of answering the questions
For each of the 6 questions;
There are 3 possible ways of selecting an answer;
The possible ways for the 6 questions is:


<em>Hence, there are 729 ways of answering the question</em>
Answer:
r = 5sec(θ)
Step-by-step explanation:
The usual conversion is ...
y = r·sin(θ)
x = r·cos(θ)
__
The second of these can be used here.
r·cos(θ) -5 = 0
r·cos(θ) = 5
r = 5/cos(θ) = 5sec(θ)
A suitable polar equation is ...
r = 5sec(θ)
Answer:
2.5 x
miles
Step-by-step explanation:
We are given that 1 light year ≈ 5.9 x
miles so:
- 4.3 x 10² light year · <u>5.9 x </u>
<u> miles </u> - 1 light year
Multiply 4.3 an 5.9 and round to 2 significant digits then add the exponents:
≈25 x 
This is not the scientific notation since the number is not between 0 and 10 so we move the decimal point by 1 place to the left. We then add 1 to the exponent to obtain the final answer:
≈ 2.5 x
miles