Find all solutions to 12tan(2pi/5x)= 12(sqrt 3) in the interval 0< x < 10

a

Step-by-step explanation:

12tan(2pi/5x)= 12(sqrt 3)

tan(2pi/5x)= sqrt 3

2pi/5x = pi/3, 4pi/3, 7pi/3, 10pi/3

x = 5/6, 20/6, 35/6, 50/6

x = 5/6, 10/3, 35/6, 25/3

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

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