Angles a and b are in the fourth quadrant. If sin a = -12/13 and cos b = 20/29 find tan (a+b)

tan (a+b) = 2.27  or (345/152)

Step-by-step explanation:

a and b are in the fourth quadrant

sin a = -12/13             tan a = - 12/5 = - 2.4

cos b = 20/29           tan b = - 21/20 =.1.05

tan (a+b) = (tan a + tan b) / (1 - tan a * tan b)

              = (-2.4 + - 1.05) / ( 1 - (-2.4)*(-1.05))

              = (-3.45) / (-1.52)

              = 2.27

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 first one

step-by-step explanation:

just id the test.