Answer:
<em>Worker B needs 9 days to finish the rest of the work</em>
Step-by-step explanation:
<u>Proportions</u>
Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.
Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

After 3 days they have completed:

parts of the project, this means it still remains:

parts of the project and it is done by B alone. Since B does
per day, he now takes

days to complete the project.
Worker B needs 9 days to finish the rest of the work
Answer:
options????????
Step-by-step explanation:
...?.
<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)
tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)
Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)
(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>
For the answer to the question above asking to s<span>olve 1/2(4x + 6) = 1/3(9x - 24) with and without using the LCD of the fraction.
The problem is simple.
just multiply 1/2 to 4x + 6 which will result to 2x+3
same method on the 1/3 to 9x - 24 and it will result to 3x-8
2x+3 = 3x - 8
3x-2x = 8+3
then the answer will be x= 11</span>