## For the following triangle, what is the value of sin (c)?

(A)

(B)

(C)

(D)

(E)

When she chooses a password, Eloise always uses exactly ten different characters: five letters (A, B, C, D, and E) and five numbers (2, 3, 4, 5, and 6). Additionally, she always ensures that no pair of letters is consecutive and that no pair of numbers is consecutive. How many different passwords conform to these rules?

(F) fewer than 1,000(G) between 1,000 and 10,000(H) between 10,000 and 100,000(J) between 100,000 and 1,000,000(K) more than 1,000,000

**Correct Answer: H**

What is the minimum value of 9 cos x

（A）a. –9 （B） –2 （C） 0 （D） 2 （E） 9

**Correct Answer: A**

In the following figure, what is the value of *x*in terms of *y*?

(A) 10y(B) 10*y*2(C) (D) (E)

**Correct Answer: C**

### More ACT Math Exam Questions

- 1What is the missing number in the sequence 1, 5, 10, 16, 23, 31, __?
- 2A photocopy machine enlarges a small triangle to produce a larger, similar triangle, as shown below. If the lengths of the sides, in inches, are as marked on the figure, and the triangles are similarly oriented, what is the value of x in inches?
- 3For any real number a, the equation |x - 2a| = 5. On a number line, how far apart are the 2 solutions for x?
- 4
What is the slope of a line on a standard

*xy-*plane that passes through the point (1, 3) and (4, –3)? - 5For to be an integer, with m and n representing positive prime numbers, the sum of m + n must equal which of the following?