The answer for that problem is z =12+6
Answer:




Step-by-step explanation:
The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).
The transformation rule for 90° counterclockwise rotation is

This implies that:




This is followed by a translation 3 units to the right.
This also has the rule: 




Therefore:




You could use change of base formula
Answer:
1: 3 ratio of the volume of the cone to the volume of the cylinder
Step-by-step explanation:
Volume of cone(V) is given by:

where, r is the radius and h is the height of the cone.
Volume of cylinder(V') is given by:

where, r' is the radius and h' is the height of the cylinder.
As per the statement:
A cylinder and a cone have congruent heights and radii.
⇒r = r' and h = h'
then;

⇒
Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3
Answer:
a member would have to take 14 lessons versus a non-member which would only have to take 7