It is known that 15.6≤p≤15.8. find the possible values of the side of a square if p is the perimeter of the square.

  3.9 ≤ s ≤ 3.95

Step-by-step explanation:

The perimeter is 4 times the side length, so the inequality is essentially ...

  P = 4s

  15.6 ≤ 4s ≤ 15.8 . . . . . . substitute the expression that uses side length

  3.90 ≤ s ≤ 3.95 . . . . . . divide by 4

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

w'x is 0.

hope it