Answer:
Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.
Step-by-step explanation:
Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:
If order matters =
(4 x 3 x 2 x 1) / 2 = X
24/2 = X
12 = X
If the order doesn't matter =
12/2 = X
6 = X
Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.
The formula for the volume of a triangular pyramid is:
V=1/3AH (where A=area of the base and H=height)
The formula for the volume of a triangular prism is:
V=AH (where A=area of the base and H=Height)
Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.
Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.
V(pyramid)=1/3V(prism)
Now lets input the volume of the pyramid
26cm³=1/3 V(prism)
Divide both sides by 1/3
78cm³=V(prism)
Answer=78cm³
Answer:
9.52% ( to 2 dec. places )
Step-by-step explanation:
Calculate the percentage increase using
percent increase = 
× 100%
increase = 46 - 42 = 4, hence
percent increase = 
× 100% ≠ 9.52%
Answer:
Step-by-step explanation:
7-5
-21-0
-2/21. the y intercept would be 5, considering the x is 0 on the first pair of coordinates. so y=-2/21x+5, or A
Answer:
Step-by-step explanation:
d
