Exam 10: Modeling With Geometry

Solve the problem. -A heat duct in the college library has a circular cross section with a radius of 10 inches and a length of 29 feet. How much paint (in square feet)is needed to paint the duct?

Convert the given degree measure into degrees, minutes, and seconds of arc. - $159.5139 ^ { \circ }$

Provide an appropriate response. -How many dimensions does a plane have?

Provide an appropriate response. -How many dimensions does a cube have?

Find the fraction of a circle that encloses the given angle. - $18 ^ { \circ }$

Solve the problem. -Find the area of the skating rink. Round to the nearest tenth.

Solve the problem. -Find the latitude and longitude of the location on Earth precisely opposite the point located at latitude 18°S, longitude 155°E.

Find the perimeter. -

Solve the problem. -Earth has a radius of approximately 6400 kilometers, and Venus has a radius of approximately 6500 kilometers (assuming that the planets are spherical). (i)Compute the surface area and volume for Both planets. (ii)Which planet has the larger surface-area-to-volume ratio?

Provide an appropriate response. -Define a self-similar fractal.

Provide an appropriate response. -Define a random iteration.

Provide an appropriate response. -The Sierpinski sponge has a fractal dimension between .

Solve the problem. -A toy ball has a diameter of $4.44$ inches. What are its volume and surface area?

Find the perimeter and area of the figure. -A square with sides of length 4.9 feet

Provide an appropriate response. -How many dimensions does a line have?

Find the perimeter. -

Determine if the pair of triangles are similar. -

Provide an appropriate response. -What is the slope of a 2 in 14 roof?

Convert the given angle measure into degrees and decimal fractions of a degree. -247°35'1"

Solve the problem. -City A is at about latitude 51°N and longitude 106°E. City B is at about latitude 28°S and longitude 106°E. About how far apart are the two cities?