Answer:
a² + b² = c²
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
To solve the problem you must know that to change from Cartesian to polar coordinates you must write:
x = rcos (θ)
Where "r" is the radius
Likewise y = rsin (θ)
Therefore, in the expression r = 3cos (θ) one can write r as:
r = x / cos (θ)
So:
x / cos (θ) = 3cos (θ)
x = 3cos ^ 2 (θ)
The same for y ...
y = rsin (θ)
y = 3cos (θ) sin (θ).
Finally the correct answer is option 2.
x = 3cos ^ 2 (θ) y = 3cos (θ) sin (θ).
The total cost for video rental, f(n), is the sum of the membership fee and the cost of renting video game. The latter is the product of cost per video game times n video games. The correct equation used to represent the total cost is,
f(n) = 20 + 2n
Since the membership is increased by 15, the new equation is,
f(n) = 35 + 2n
It is 3/2 • 3/4 because you have to make the mixed number an improper fraction. Theb you would solve 3/2 • 3/4 and get 9/8 and that simplified is 1 1/8
4 dimes=4 *10=40 cents
2.25-0.40=1.85
1.85=0.05 times number of nickles
times 100 both sides
185=5 times number of nickels
divide both sides by 5
37=number of nickles
has 37 nickles
