(2x + 3) + (x+1) + (3x-10) = 180
6x - 6 = 180
6x = 186
x= 31
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:
<h2>x = 2</h2>
Step-by-step explanation:
2x + 6 = 6 + 2x
4 + 6 = 6 + 4
10 = 10
Answer:
71
Step-by-step explanation:
Add 46 to each number, see if the sum is in the list. In the set of 7 numbers listed, two of them are even (24 and 38), and the other 5 numbers are odd
71
We do not need to look at all differences.
We need to find two numbers fairly far appart,
and not all look promising.
You could look at approximate differences,
or you could look at the last digit.
71-35 and 63-17 are the only promising differences,
because 71 and 63 are the only numbers large enough to be 46 more than another number in that list,
and when you calculate the last digit you calculate
11-5=6 and 13-7=6.
71-35=36
See attached picture of graph
