Pre-calc questions (trignometry)

 (1a) 250°  (1b) 70°    (2) see below

Step-by-step explanation:

1a) -110 + 360 (one rotation clockwise) = 250°

1b) 430 - 360 (one rotation counterclockwise) = 70°

2) sec Ф = -8/5    in Quadrant III

Quadrant III identifies that both sin (y) and cos (x) are negative.

sec = r/x --> r = 8, x = -5, and y = -√39

(Use Pythagorean Theorem x² + y² = r² to solve for y)

               rationalized =

                   (GIVEN)

               rationalized =

NOTE THAT YOU ARE ALLOWED A MAXIMUM OF 3 QUESTIONS PER POST.  Please repost #3 and #4 as a different question and I will answer them.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: