To justify the yearly membership, you want to pay at least the same amount as a no-membership purchase, otherwise you would be losing money by purchasing a yearly membership. So set the no-membership cost equal to the yearly membership cost and solve.
no-membership costs $2 per day for swimming and $5 per day for aerobic, in other words, $7 per day. So if we let d = number of days, our cost can be calculated by "7d"
a yearly membership costs $200 plus $3 per day, or in other words, "200 + 3d"
Set them equal to each other and solve:
7d = 200 + 3d
4d = 200
d = 50
So you would need to attend the classes for at least 50 days to justify a yearly membership. I hope that helps!
Answer:
28.27 in²
Step-by-step explanation:
The area of a circle is dependent on only one variable: the radius:
A = πr²
If the radius is 3 inches, as you seem to indicate, then:
A = π(3 in)² = 9π in² = 28.27 in²
When multiplying fractions, multiply row by row. 5×1=5 over 3×7=21. So we get positive (becayse negatives cancel each other) 5/21. We can't simplify it any further so thats the answer. Hope this helps!
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given that the measure of angle θ is 600° and we are to fin the point (x, y) corresponding to angle θ on the unit circle,
We know that the x,y coordinates in the unit circle are the cosine and sine ratios, respectively.
θ = 600
1 unit circle= 360°
It means that 600° corresponds to 600° - 360° = 240°.
So, θ = 360° + 240°
180° < 240° < 270° (this tells that the point is in the third quadrant and its coordinates are negative)
240° - 180° = 60° (using the supplementary angles to find the sin and cos)
Therefore, the x-coordinate is the cos of the given angle while y-coordinate is the sine of the given angle and the coordinates are:
The answer is going to be the second one
