Answer:
The new pyramid has a volume that is 8 times the volume of the original pyramid
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z ----> the scale factor
V_1 -----> volume of the original pyramid
V_2 -----> volume of the new pyramid
In this problem we have that each of the dimensions of the original pyramid are doubled
so
so
substitute
therefore
The volume of the new pyramid is 8 times the volume of the original pyramid
Answer:
I got 1,475
Step-by-step explanation:
First multiply C by F by multiplying each row in C by each column in F:
12 * -2 + 0*0 + 1.5*2 12*0 + 0*8 + 1.5*1
1*-2 -6*0 +7.2 1*0-6*8 +7*1
to get a matrix of:
-21 1.5
12 -41
Now subtract that matrix from B:
2- -21 = 2+21 = 23
8 - 1.5 = 6.5
0.6 - 12 = -11.4
3 - -41 = 3+41 = 44
So you have:
23 6.5
-11.4 44
Which makes C the correct answer.
Y2 - y1 (-4,-6) (2,6)
______ x1 y1 x2 y2
x2 - x1
6,-(-6)
______
2, -(-4)
12/6 = 2
Finding the slope
__________________________________
mx + b
2x + 2
would be the answer
Total number of marbles = 70 + 120 + 60 = 250
Prob of green = 60/250
Reduced fraction = 6/25
Percentage = 24%
