Answer:
1/4 -or- 4
Step-by-step explanation:
take the x-axis value 16 and divide by the other x-axis value, 4.
Answer: The volume of the tetrahedron is 2 units.
Step-by-step explanation:
Let A = (1, 1, 1)
B = (1, 5, 5)
C = (2, 2, 1)
The volume of a tetrahedron is given as
V = (1/6)|AB, AC, AD|
Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.
We need to determine AB, AC, and AD
Suppose A = (a1, a2, a3)
B = (b1, b2, b3)
C = ( c1, c2, c3)
AB = ( b1 - a1, b2 - a2, b3 - a3)
Similarly for AB, AC, BC, etc.
AB = (1 - 1, 5 - 1, 5 - 1)
= (0, 4, 4)
AC = (1, 0, 2)
AD = (1, 1, 0)
Volume =
(1/6) |0 4 4|
|1 0 2|
|1 1 0|
= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)
= (1/6)(0 + 8 - 4)
= (1/6)(12)
V = 12/6 = 2 units
Answer:
150 cookies
Step-by-step explanation:
⠀⠀⠀⠀⠀⠀⢀⣤⣀⣀⣀⠀⠻⣷⣄
⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠋⠀⠀⠀⠹⣿⣦⡀
⠀⠀⢀⣴⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⢹⣿⣧
⠀⠀⠙⢿⣿⡿⠋⠻⣿⣿⣦⡀⠀⠀⠀⢸⣿⣿⡆
⠀⠀⠀⠀⠉⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⢸⣿⣿⡇
⠀⠀⠀⠀⢀⣀⣄⡀⠀⠀⠈⠻⣿⣿⣶⣿⣿⣿⠁
⠀⠀⠀⣠⣿⣿⢿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⡁
⢠⣶⣿⣿⠋⠀⠀⠉⠛⠿⠿⠿⠿⠿⠛⠻⣿⣿⣦⡀
⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡿
Answer:
2
Step-by-step explanation:
Use the dot plot to make a list of the numbers it represents, sorted from smallest to largest.
0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 9
There are 23 numbers in this list. The median is the one in the middle, so there will be 11 numbers to the left of it and 11 to the right.
The median is 2
