PLEASE HELP. Finding Density All objects have mass. Mass is the amount of material in an object, usually measured by its
weight. Earlier in this unit, you studied the volume of objects. When you combine these two
concepts, you get a useful measurement called density. The density of an object is its mass
per unit of volume. Imagine two objects in which the larger one actually weighs less than the
smaller one. This difference in weight is attributed to density.
Consider a candle that has a volume of 96 cubic inches and a weight of 44.16 ounces. What
is the density of the candle? The density is defined as its mass per unit volume, so simply
divide the mass of the candle by its volume:
44.16 ounces
volume
96 cubic inches = 0.46 ounces/cubic inch.
In this case, you are finding the average density of the candle. In most cases, you will be
finding the average density of objects because most objects do not have a uniform density.
For instance, the portion of the candle where the wick is might have a different density than
the rest of the candle.
Now that you know about density, let's work on some applications.
Harold is a woodworker and is interested in finding the density of two different types of
wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the
log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5
inches thick and 3 feet long. The board weighs approximately 8.05 pounds.
density = mass
What is the density of the pine log? What is the density of the oak board? If you had a block of each type of wood with the same dimensions how would their weights compare? Water has a density of about 0.0361 pounds/ cubic inch. You might know that wood floats on water. What can you conclude about the densities of objects that float and the densities of objects that do not?

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Factor the expression using gcf 9b+45