Answer:
<u>Part A: US$ 17</u>
<u>Part B : US$ 102</u>
Step-by-step explanation:
1. Let's check all the information given to us to answer the question correctly:
Dinner bill = US$ 85
Tip to the server = 20% of the bill
2. What’s the tip?
20% = 0.2
Tip to the server = 0.2 * 85
<u>Tip to the server = 17</u>
3. What’s the total of the dinner?
Total of the dinner = Dinner bill + Tip to the server
Total of the dinner = 85 + 17
<u>Total of the dinner = 102</u>
68
I hope you understand this
First, an introduction: If the equation of the circle were x^2 + y^2 = 144, then the center would be at (0,0) and the radius would be 12. Note that the distance from the center to P(10,10) is 10sqrt(2), or 14.14. Thus, in this example, P would be OUTSIDE the circle (since 14.14 is greater than the radius 12).
Now let's focus on <span>(x-1)^2 + (y-2)^2 =144. Let x = 12 as an example; find the corresponding y: 9^2 + (y-2)^2 = 144, or (y-2)^2 = 63, and so y-2 is approx. -8 or +8. Then y (for x = 12) is either approx. -10 or 6: (12,-10) or (12,6). Are these inside the circle or outside?
A better way to address this would be as follows:
Find the distance from the center (1, 2) to the point P(10,10). If this distance is less than 12, the point P is inside C; if greater than 12, P is outside C.
This distance is sqrt( (10-2)^2 + (10-1)^2 ), or sqrt (64+81) = sqrt(145).
This is LARGER than sqrt(144). Thus, P is OUTSIDE the circle C.</span>
