A circle with a radius of 6 meters has an are that measures $35^{\circ}$. If this arc and its associated sector are completely removed from the circle, what is the length of the major are that remains, to the nearest tenth of a meter?

Distinguish between an umbra and a penumbra?

A man whose eye is 1.5 metres above ground level stands 20 metres from the base of a tree. The angle of elevation to the top of the tree is $45^{\circ}$. Calculate the height of the tree.

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.

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?