Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of
, the ratio of any surface area type measure is always
this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of
.
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of
which if you simplify it, it is
, which is
. The ratio of the heights are
.
Now we can apply those rules to this ratio, the ratio of lateral areas would then be
, which is
. the ratio of volumes would be
, which is 
6 lessons per week multiplied by the number of weeks in a year
6 x 52 = 312
total - 5 missed
312 - 5 = 307 dance lessons
Answer:
C(x) = 7x + 10
Step-by-step explanation:
If the delivery charge is $10 for any number of board feet ordered.
If the delivery charge is $10 for each board feet ordered, the function would
be C(x) = (7 + 10)x = 17x
Answer:
0
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
= (-5--5)/ (9--8)
= (-5+5)/(9+8)
= 0/17
=0
The slope it 0
This is a horizontal line because the y value doesn't change. If the y value doesn't change, the slope it zero.