Cumulative Exam — Cumulative exam Answers

A plane intersecting a double-napped cone makes a 55° angle with the central axis. The angle between the generator and the central axis is 35°.Which conic section is formed?

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.Trigonometric area formula: Area =

Using Cramer’s Rule, what is the value of y in the solution to the system of linear equations below?

Which system of linear equations can be solved using the information below?

As Tia solved the system of equations below, she transformed matrices at different steps during the process.She noted the following matrices.IIIIIIIVIn which order should the matrices be arranged when solving the system from start to finish?

What is the approximate angle measure for angle W in the triangle below?

The matrix below represents the distance in miles between three cities. A row label represents the city traveled from. A column label represents a city traveled to.What is the round trip distance in miles from city 1 to city 3?

On Monday, Amie rides her bike from home to school. After school, she bikes to work. After work, she bikes home. Based on the information in the diagram below, about how many miles does Amie bike on Monday?

What is the value of A in the matrix equation below?

A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. When the sun is at a 65° angle of elevation, the tree casts a 25-foot shadow. What is the approximate length of the tree?

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Given the system , which statement is true?

A diagonal matrix has the elements shown below.Which is the diagonal matrix containing these elements?

The matrix below represents a system of equations.Which matrix represents the solution to this system of equations?

Which equation represents a hyperbola with a center at (0, 0), a vertex at (0, 60), and a focus at (0, −65)?

AC and DB are chords that intersect at point H.

The graph of 4x2 + 4y2 – 24x – 32y + 72 = 0 is a circle. What is the radius of the circle?

A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Solution Components Solution ASolution BSolution CVinegar0.10.20.4Lemon Juice0.150.20.1Water0.750.60.5Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?

Classify the conic represented by the following equation.x2 – 10x + 7y2 + y + 8 = 0

If , then what is ?