HELP FOR BRAINLIST AND 24 POINTS MY GRADE IS ON THE LINE PLEASE

1. Find the reciprocal of 5.
2. Find the reciprocal of 3 3/5
3. Find the reciprocal of 4/11
4. What is the reciprocal of 5 3/4
5. Divide. Express your answer in simplest form. 2 3/5 ÷ 2/7
thank you have a good day may God bless you and your family <3

Flip 5/1 to 1/5 so it is 1/5

Make improper. 18/5 to 5/18 so the answer is 5/18

11/4

23/4 flip to 4/23 is your answer

13/5 / 2/7

13/5 x 7/2 = 91/10 so 9 and 1/10 is your answer

Answers in order

1/5

5/18

11/4

4/23

9 and 1/10

Step-by-step explanation:

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)