Given that Triangle ABC is similar to Triangle DEF, which is a possible trigonometric ratio for Angle F? A)
cos F
12
—
15
B)
cos F =
15
—
12
C)
cos F
9
—
15
D)
COS F =
15
—
9

The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of years since records began to be kept at the school. what is the record for the long jump 11 years after record started being kept? round your answer to the nearest tenth.

Express the following as a function of a single angle, cos(60) cos(-20) - sin(60) sin(-20)

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply