Answer:
The length of the arc is 7.85 in
Step-by-step explanation:
First of all we need to calculate the circumference
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 10 in
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 10 in
c = 62.8 in
The length of the circumference is 62.8 in
Now we have to get the relation of the sector with the circle, for this we divide 45° by 360°
45° / 360° = 1/8
we multiply this fraction with the circumference and obtain the length of the arc
62.8 in * 1/8 = 7.85 in
The length of the arc is 7.85 in
5 days would make the season pass only cost $450, but the daily pass would be $505.
Answer:
a. The number of people that receive the text in the fourth round are 10³ people
b. The total number of people that receive the text are 1.1111 × 10⁴ people
Step-by-step explanation:
a. The given information are;
The number of people the text is sent to in the first round = 1
In the second round, the number of people the text is sent to by people in the first round = 10
In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people
In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people
The number of people that receive the text in the fourth round = 10³ people
b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people
The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people = 11111 people = 1.1111 × 10⁴ people
