A 9-12-15 triangle is revolved about the side of length 15 units.
1.Sketch the resulting solid and label the dimensions.
2.What is the volume of the resulting solid? Express your answer as a decimal to the nearest tenth and in a verbal description.
Fresno County Office of Education • Larry Powell, Superintendent
Carl Veater, Math on Call Program Producer, cveater@fcoe.org, (559) 265-3065
Fax: (559) 265-3041
2011-2012
Consider the pattern above as you respond to the following prompts:
1. Draw Figures 0, 4, and 5.
2. How does the figure number relate to a corresponding: edge length, surface area of one face, and volume of each cube? Display each relationship using a table, graph, and equation.
3. Write an expression that would allow you to find the total surface area of any figure. Use this expression to find the total surface area of the cube in Figure 100.
In these economic times, the city of St. Louis is trying to generate more revenue by building two platforms on the Gateway Arch for bungee jumping. For safety reasons, the platforms must be 40 feet apart. The city wants the jumper's hands to be between 15 and 20 feet from the ground at the lowest point in the jump. Using the function, y= -2/315 x^(2 )+ 4x to model the arch, how far should the bungees stretch?
Fresno County Office of Education • Larry Powell, Superintendent
Consider two candles. One candle takes 6 hours to burn entirely, and the other burns entirely in 9 hours. The candles were lit at the same time and were the same height when lit. After how many hours will one candle be half the height of the other?
Show all steps, equations, and/or diagrams you used to answer the question. Express your answer as a decimal to the nearest tenth.
Fresno County Office of Education • Larry Powell, Superintendent
Carl Veater, Math on Call Program Producer, cveater@fcoe.org, (559) 265-3065
Suzie is still collecting beads. Every week she adds 10 beads to her collection. On week 6 she had 157 beads.
1. Write and graph a function that relates the number of weeks (w) to the total number of beads that Suzie has (b).
2.How many beads did Suzie have when she started adding to her collection?
3.When will Suzie have at least 1000 beads?
Add additional pages as needed
Fresno County Office of Education • Larry Powell, Superintendent
Carl Veater, Math on Call Program Producer, cveater@fcoe.org, (559) 265-3065
Bob is flying a kite in the park. He notices that his friend Carl is directly under the kite and it appears that the kite is two times higher than the distance from Bob to Carl. Carl then walks 10 feet closer to Bob and it now appears that when the kite is directly above Carl, it is three times higher than the distance to from Bob to Carl.
About how long is the string on Bob’s kite? Show all of your work.
Fresno County Office of Education, Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org
CSI Wendy Willows arrived at a crime scene at exactly 10:00 PM. She took the temperature of the corpse and it was 96.1 degrees. One hour later the body temperature was 95.5 degrees. Assuming normal body temperature is 98.6 degrees, use the equation
f(x)= ak^x+ 70 to find the time of death to the nearest minute.
Fresno County Office of Education, Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org
(559) 265-4044 FAX: (559) 265-3041
2010-2011
A rectangular 338 square foot pool is surrounded by a 3 foot wide rectangular deck. The length of the pool is twice its width. If the deck must be 4 inches thick, how many cubic yards of concrete will be needed for the deck?
Be sure to answer the question using a complete sentence and to show all sub-problems used to support your conclusion.
Fresno County Office of Education, Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org
(559) 265-4044 FAX: (559) 265-3041
2010-2011
A biologist is stocking a lake with 3,000 fish. The fish population is expected to decline by 9% per month for the next year.
1. Write a function for number of fish in the lake after n months.
2. Predict the number of fish in the lake after 4 months.
3. After how many months will half of the 3,000 fish remain in the lake?
Show your solution graphically and algebraically. Be sure to answer each question using a complete sentence.
Fresno County Office of Education
Larry Powell, Superintendent
Melinda Riccardi, Math on Call Program Producer, mriccardi@fcoe.org
