Determine whether the polygons with the given vertices are similar. Support your answer by describing a transformation. A(3, 0), B(3, 6), C(9, 6), X(4, 0), Y(4, -8), Z(12, -8)

What is the purpose of a flagellum?

A parasail is attached by a 40-foot rope to the boat that is towing it. If the angle of elevation from the boat to the parasail is $34^{\circ}$, about how far above the water is the parasailer?

An accident reconstructionist takes measurements of the yaw marks at the scene of an accident. What is the radius of the curve if the middle ordlnate measures 5.3 feet when using a chord with a length of 39 feet? Round your answer to the nearest tenth of a foot.

It is now possible to buy capacitors that have a capacitance of one farad. Design a solenoid so that when it is connected to a charged 1 F capacitor, the circuit will oscillate with a period of one second. Give all the relevant parameters of the solenoid (length, etc.) so that someone could build the solenoid from your design specifications. Assume that there is wire available with low enough resistance that the resistance of the solenoid is negligible, although this may be difficult to achieve in practice unless the wire is superconducting.

If you know the specific heat of copper, what additional information do you need to calculate the heat capacity of a particular piece of copper pipe?

What structural feature do hemoglobin, cytochrome c, and chlorophyll have in common?

Bill of Rights

Shawna has 3 adults and 2 children coming over. She is going to serve 2 small apple pies. If she plans to give each person, including herself, an equal amount of pie, how much pie will each person get?

In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 20. Use equation (1) to compute the probability that the number drawn is. Odd or a multiple of 4.

According to physicist Peter Brancazio, the key to a successful foul shot in basketball lies in the arc of the shot. Brancazio determined the optimal angle of the arc from the free-throw line to be 45 degrees. The arc also depends on the velocity with which the ball is shot. If a player shoots a foul shot, releasing the ball at a 45-degree angle from a position 6 feet above the floor, then the path of the ball can be modeled by the function $h(x)=-\frac{44 x^{2}}{v^{2}}+x+6$ where h is the height of the ball above the floor, x is the forward distance of the ball in front of the foul line, and is the initial velocity with which the ball is shot in feet per second. Suppose a player shoots a ball with an initial velocity of 28 feet per second. Determine the height of the ball after it has traveled 12 feet in front of the foul line.

A rotating wheel accelerates at a constant rate from an angular speed of 24 rad/s to 36 rad/s in a time interval of 3 s. What is the angular acceleration in rad/s/s?

$$\sin \theta=\dfrac{\sqrt{2}}{4}$$

The reaction of sodium hydroxide, NaOH, and hydrochloric acid, HCl, results in the following reaction: $\mathrm{NaOH}+\mathrm{HCl} \rightarrow \mathrm{NaCl}+\mathrm{H}_{2} \mathrm{O}$. This product represents (a) an acidic product. (b) a basic product. (c) a pH-neutral product. (d) the formation of both an inorganic and organic compound. (e) the loss of matter.