Answer:
Step-by-step explanation:
a. How many groups of five songs can be chosen from a list of 35 songs?
Here combinations because order of songs selected doe snot matter hence
35C5 = 324632
b. How many ways can a person choose three different desserts from a dessert tray of eight desserts?
Here combinations
8C3= 56
c. How many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players?
Here order matters so 9P2 = 72
d. How many ways are there to place seven distinct pieces of art in a row?
Here we use permutations because distinct pieces so order matters.
7! ways
e. How many ways are there to randomly select four balls without replacement from a container of 15 balls numbered 1 to 15?
Without replacement we have to use combinations
15C4 = 1365
2 x 10 = 20
Check: 20 / 2 = 10
n = 20
Left side angle = 180-150-12 = 18 degrees
10 / sin 12 = c / sin 18
c = 10 * sin 18 / sin 12
c = 14.9 cm to nearest tenth
Answer:
J=40º, K=60º, H=80º
Step-by-step explanation:
since all angles of a triangle add up to 180º, we can make an eqaution.
3x+2x+4x=180
9x=180
x=20
J=2x=20x2=40º
K=3x=20x3=60º
H=4x=20x4=80º
Answer:
73,780
Step-by-step explanation:
2,108 x 35 = 73,780
