Rectangle ABCD lies in the standard (x,y) coordinate plane with corners at A(4,2), B(6,-1), C(1,-4), and D(-1,-1), and is represented by the 2 × 4 matrix . ABCD is then translated, with the corners of the translated rectangle represented by the matrix . What is the value of n?
In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?
（A）30° （B） 45° （C） 60° （D） 90° （E） Cannot be determined from the given information
Correct Answer: B
A right circular cylinder is shown below, with dimensions given in inches. What is the total surface area of the cylinder, in square inches?(Note: The total surface area of a cylinder is given by 2πr2 + 2πrh, where r is the radius and h is the height.)
（A）3π （B） 5π （C） 6π （D） 8π （E） 11π
Correct Answer: D
If the value, to the nearest thousandth, of cos α is -0.385, which of the following could be true about α?
（A） （B） （C） （D） （E）
Correct Answer: B
More ACT Math Exam Questions
In the following figure, fis the midpoint of . Which of the following are the coordinates of f?
- 2In the figure below, the lengths of the sides of right triangle BAC are as shown. bisects side . What is the length of DC?
- 3 What are the solutions of the equation 5x 7 = 5(x + 2)
- 4In Mrs. Hartley's foreign language class, students must take both a written exam and an oral exam. In the past, 85% of her students passed the written exam and 70% of those who passed the written exam also passed the oral exam. Based on these figures, about how many students in a random group of 100 students would you expect to pass both exams?
- 5What are the solutions for the equation 3x2 -5x + 2 = 0?