The amplitude of the trigonometric function shown below is defined as the average of the absolute values of the maximum value of f(x) and the minimum value of f(x). The trigonometric function graphed below can be described by the equation f(x) = a sin(bx + c), where a, b, and c are real numbers. Which of the following values describes the amplitude of this function?
If 0° < θ < 90° and tan θ = , what is sin θ + cos θ?
（A） （B） （C） （D） （E）
Correct Answer: A
In the figure below, all line segments intersect at right angles, and all measurements are given in inches. What is the perimeter of the figure in inches?
（A）23 （B） 28 （C） 46 （D） 130 （E） Cannot be determined
Correct Answer: C
To increase the mean of 5 numbers by 3, by how much would the sum of the 5 numbers need to increase?
（A）3 （B） 6 （C） 9 （D） 15 （E） 18
Correct Answer: D
More ACT Math Exam Questions
The employees at Belinda's Paint Store are having a competition to see who can create the most new accounts over a period from January to June in a certain year. Data is missing because one of the employees began to erase it from the white board, thinking that the competition was over. The numbers in the chart below have been confirmed with the assistant manager's personal records.
Additional records are uncovered that show that Don's sales decreased 5% each month from January to May because his responsibilities in the store mounted and he could not seek out new accounts as frequently. Which of the following is closest to the number of new accounts Don created in May?
- 2June 2020 ACT test date
When written in symbols, "The square of the product of a and b" is represented as:
The perimeter of a square is 36 inches. What is the area of the square, in square inches?
If f(x) = 7x2 - 9x + 4, then f(-3) = ?