63. The fourth proportional to 5,8,15 is
a)18
6/24
c)19
d)20​

24

Step-by-step explanation:

a:b::c:d

a/b=c/d (eq 1)

let a=5, b=8, c=15, d=x

Not put values in eq 1

5/8 = 15/a

By cross multiplication we get:

5xa = 15x8

5a = 120

Dividing by 5 on both sides we get

5a/5 = 120/5

a = 24

Therefore The fourth proportional is 24

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: