The centers of 3 identically sized circles lie on the diameter of a larger circle, as shown in the figure below. Each of the 4 circles is tangent to 2 other circles, as shown. If the circumference of each small circle is 8π inches, what is the circumference of the largest circle, in inches?
(A)16π
(B) 24π
(C) 48π
(D) 64π
(E) 144π
The Correct Answer
If 3(2x - 1) = 11x + 27, then x = ?
(A)-6 (B) -2 (C) 2 (D) 6 (E) 7
Correct Answer: A
The perimeter of a square is 36 inches. What is the area of the square, in square inches?
(F) 6 (G) 9 (H) 18 (J) 36 (K) 81
Correct Answer: K
In the complex numbers, where , the conjugate of any value a + bi is a– bi.What is the result when you multiply 2 + 7i by its conjugate?
(A) 45(B) –45(C) 45i(D) 53(E) 53i
Correct Answer: D
More ACT Math Exam Questions
- 1What is the x–intercept of the line that passes through points (-3,7) and (6,4) in the standard (x,y) coordinate plane?
- 2Given that , what is the value of x?
- 3In XYZ, shown below, = 30. Which of the following represents the length of ?
(Note: For a triangle with sides of lengths x, y, and z, and respective opposite angles measuring X, Y, and Z, it will be true that: , according to the law of sines.)
- 4William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
- 5Compared to the graph of y = sin x, the graph of y = 2 sin(4x) has: