1. Monica is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 6 cm, and the height of the cylinder is 12 cm. To get the wax for the candle, Monica melts cubes of wax that are each 5 cm by 5 cm by 5 cm. How many of the wax cubes will Monica need to purchase to make the candle? (Note that Monica is not able to purchase partial cubes). Show all your work.

An ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. Energy enters the system through photosynthesis and is incorporated into plant tissue. By feeding on plants and on one another, animals play an important role in the movement of matter and energy through the system. They also influence the quantity of plant and microbial biomass present. By breaking down dead organic matter, decomposers release carbon back to the atmosphere and facilitate nutrient cycling by converting nutrients stored in dead biomass back to a form that can be readily used by plants and other microbes.

The perpendicular bisector of a line segment AB is a line that divides the line AB into two equal parts at a right angle.

Example:

How to construct a perpendicular bisector?

Construct a perpendicular bisector of the given line segment AB.

Solution:

Step 1: Stretch your compasses until it is more then half the length of AB. Put the sharp end at A and mark an arc above and another arc below line segment AB.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: