Answer:
d = 6.1m
n = 7km
Step-by-step explanation:
To find the variables, use tan
⇒ tan =
finding d:
⇒tan 63 =
tan of 63 is 1.963
⇒ 1.963 =
multiply 3.1 on both sides
⇒ 1.963 x 3.1 = x 3.1
⇒ 6.0853 = d
round to the nearest tenth:
⇒ 6.0853 = 6.1
finding n:
⇒ tan 45 =
tan of 45 is 1
⇒ 1 =
multiply 7 on both sides:
⇒ 1 x 7 = x 7
7 = n
There are 4 teams in total and each team has 7 members. One of the team will be the host team.
Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.
So total number of possible 9 member tournament committees will be equal to:
This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:
Therefore, there are 2917215 possible 9 member tournament committees
Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
(Eq. 1)
From starting point to water station:
(Eq. 2)
The distance between the water station and the ending point is:
(Eq. 3)
Hence, Aidan is 2 miles far from the ending point when he reaches the water station.