Use the diagram below to answer the question.In the diagram, a half-circle is laid adjacent to a triangle.What is the total area of the shape, if the radius of the half-circle is 3 and the height of the triangle is 4?
Answer(s): D
Because the radius of the hemisphere is 3, and it is the same as half the base of the triangle, the base must be 6. Therefore, the area of the triangle is 1/3 bh = 12.
Use the diagram below to answer the question.A train moving at a constant speed leaves Chicago for Los Angeles at time t = 0. If Los Angeles is 2,000 miles from Chicago, which of the following equations describes the distance from Los Angeles at any time t?
Answer(s): C
The speed of the train is 60 miles per hour, obtained from the table. Therefore, the distance from Chicago would be equal to 60t. However, as the train moves on, the distance decreases from Los Angeles, so there must be a function of 60t in the equation. At time t = 0, the distance is 2,000 miles, so the function is 2,000 60t.
Use the table and the information below to answer the question.Felipe is planning to get an Internet service in order to have access to the World Wide Web. Two service providers, A and B, offer different rates as shown below.If Felipe plans on using 25 hours of Internet service per month, which of the following statements is true?
Answer(s): E
The cost for 25 hours for both providers must be found. For A, the base charge is $20, plus 7.5 hours at $1 per hour. This is $27.50. For B, the base charge is $20, plus 5 hours at $1.50. This is also $27.50. Therefore, they will cost the same.
Anne has two containers for water: a rectangular plastic box with a base of 16 square inches, and a cylindrical container with a radius of 2 inches and a height of 9 inches. If the rectangular box is filled with water 9 inches from the bottom, and Anne pours the water into the cylinder without spilling, which of the following will be true?
Answer(s): A
The amount of water held in each container must be found. The rectangular box starts with 16 square inches times 9 inches = 144 cubic inches of water. The cylindrical container can hold 3.14(4)(9) cubic inches of water, which is approximately 113 cubic inches. Therefore, the container will overflow.
Roger, Lucy, Mike, and Samantha are cousins. They all practice unique sports: One enjoys skiing, one enjoys fishing, one enjoys tennis, and one enjoys volleyball.Use the statements below to answer the question that follows.I) The cousin who fishes is female.II) Roger and Lucy hate sports with balls.III) Samantha is older than the cousin who fishes.Who likes to fish?
This problem can be solved using only statements I and III. Since the cousin who fishes is female, either Lucy or Samantha likes to fish. Statement III eliminates Samantha, which leaves Lucy.
Post your Comments and Discuss Test Prep CBEST Section 1: Math exam prep with other Community members:
Our website is free, but we have to fight against AI bots and content theft. We're sorry for the inconvenience caused by these security measures. You can access the rest of the CBEST Section 1: Math content, but please register or login to continue.