Victory for the ACT Student Text 15e

276 • M ATH

‘” –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ™Š‹…Š ‘‡ ‘ˆ –Š‡ following statements is true?

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ AB is three times longer than BC , and CD is two times longer than . BC If BC is removed from the line and the other two segments are joined to form one line, what is the ratio of the original length of AD to the new length of AD ?

28.

25.

A. :3 2 B. :6 5 C. :5 4 D. :7 6 E. :11 10

F. sin c b i G. tan b a v H. cos a c i J. sin cos i K. cot tan v

26. If ( ) ( ) x x 1 2 + − is positive, then which of the following statements is true? F. x 1 < − or x 2 ! G. x 1 > − or x 2 H.

v v

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ‹ˆ arcsin (arcsin ) s d 2 , then x ? A. 15 B. 30 C. 45 D. 60 E. 75

29.

Throwback to Math Class ‘ ϐ‹† ’‡”…‡– change, put the change in the quantity over the original amount. Multiply this fraction by 100 to change the fraction to a percent. If the change in the quantity is positive (new value – original > 0), you are computing the percent increase. If the change is negative (new value – original < 0), you are computing the percent decrease.

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ‹ˆ AC of the circle, B sin i 2 1 , then sin z

is the diameter is a point on the circle, and

30.

?

F.

3 2 G. 3 3 H. 2 3 J. 3 2 2 K. 2 2 3