Practice Exam Answers

What is the volume of the pyramid?

What is the area of triangle MOL ?

What is the length of line segment TV ?

About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.

Which statement is true about whether cap A and cap b are independent events?

What is the approximate length of minor arc LM ? Round to the nearest tenth of a centimeter.

Which statement and reason are missing in the proof?

Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

Which best explains whether or not all isosceles triangles are similar?

Giulia is playing a game with 6 cards: 4 kings, 1 queen, and 1 jack. She draws 1 card out of the stack of cards, replaces it, and then draws another card. What is the probability that she will draw a king and then a jack, cap p times open paren king comma then jack close paren ?

What is the center of a circle represented by the equation open paren x minus 5 close paren squared plus open paren y plus 6 close paren squared is equal to 4 squared ?

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

Point cap p partitions the directed segment from cap A to cap b into a ratio of 1 to 3 ratio. cap q partitions the directed segment from cap b to cap A into a ratio of 1 to 3 ratio. Are cap p and cap q the same point? Why or why not?

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug. To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers?

A parabola has a vertex at the origin. The focus of the parabola is located at open paren negative 2 comma 0 close paren Which is the equation for the directrix related to the parabola?

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42 percent chance of grabbing a bottle of shower gel. For the events "shower gel” and "scented” to be independent, what must be shown to be true?

To support a tree damaged in a storm, a 12 -foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle. At approximately what angle does the wire meet the ground?

Consider the following sets. cap u is equal to all triangles cap e is equal to x divides x is in cap u and x is equilateral cap i is equal to x divides x is in cap u and x is isosceles cap s is equal to x divides x is in cap u and x is scalene cap A is equal to x divides x is in cap u and x is acute cap o is equal to x divides x is in cap u and x is obtuse cap r is equal to x divides x is in cap u and x is right Which is a subset of cap i ?

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40 degrees How many sides does the polygon have?