Law of Sines/Cosines
Which method of counting is order important for?
Permutation
2k 4 ⋅ 4k
8k3
solve:
42x+1=83
x=7/4
sq root 24x4
2x2 sqrt 6
If a = 3, b = 7 and c = 5, find B to the nearest degree using the Law of Cosines.
120
What is the value : 5C3
10
(x2)0
1
solve:
53x+9=1
x=-3
cube root 250x5
5x cube rt 2x2
Lara's radar on her submarine detects two other subs nearby. The first sub is 360m away, the second sub is 250m, and the angle between them is 34.34 degree. What is the distance between the other two subs?
302.40m
How many ways can a basketball team of 5 players be chosen from 8 players?
56
(3m)-2
1/9m2
91/2x=1/3
x=-1
sqrt 98x6y7z8
7x3y3z4 sqrt 2y
Find the area of triangle ABC if B=25 degrees, a =17m and c=33m.
119
Twelve skiers are competing in the final round of the Olympic freestyle skiing aerial competition. In how many ways can 3 of the skiers finish first, second, and third to win the gold, silver, and bronze medals?
1320
(x2)3*4x6
3x5
4x7
3(1/4)x+2=163x
x=-2/7
-4* cubert 162x2y6
-12y2 cubert 6x2
Scientists in Houston are trying to figure out the distance from a satellite to Cape Canaveral. They know that the satellite is 530 miles from Houston at an 85º angle of elevation, and Houston and Cape Canaveral, in a straight line from one to the other, are 902 miles apart. How far is the satellite from Cape Canaveral?
1005.57 miles
Your English teacher has asked you to select 3 novels from a list of 10 to read as an independent project. In how many ways can you choose which books to read?
120
(2x-1y)-3
x-1y2
x4
8y5
322p-2 * 8p = (1/2)2p
p=2/3
cube root -686x3y-21
-7x cube rt 2
y7