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 think its y = x² + 6x - 55
bivariate data. One entry vertical, one entry horizontal.
Step-by-step explanation:
1 km = 1000 m
(hence the term "kilo" which means 1000).
so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.
now, we can see the solution already with our eyes.
but let's do it formally :
the rate or ratio between time and distance must be the same for the same speed.
so,
3 min / 1000 m = x min / 500 m
500 m × 3 min / 1000 m = x min
1/2 × 3 min = x min
3/2 = 1.5 min = x min
so, it takes him 1.5 minutes (90 seconds) to run 500 m.
Answer:
60 students
Step-by-step explanation:
(See attached file below)