r = 2 inches
total h of the cylinder = 6+6+6 = 18 inches
![SA = 2\pi {r}^{2} + 2\pi \: rh](https://tex.z-dn.net/?f=SA%20%3D%202%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%2B%202%5Cpi%20%5C%3A%20rh)
![= 2\pi \: r(r + h)](https://tex.z-dn.net/?f=%20%3D%202%5Cpi%20%5C%3A%20r%28r%20%2B%20h%29)
![= 2 \times 3.14 \times 2(2 + 18)](https://tex.z-dn.net/?f=%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%202%282%20%2B%2018%29)
![= 2 \times 3.14 \times 2 \times 20](https://tex.z-dn.net/?f=%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%202%20%5Ctimes%2020)
![= 251.2square \: inches](https://tex.z-dn.net/?f=%20%3D%20251.2square%20%5C%3A%20inches)
Answer:
90
Step-by-step explanation:
= 6(12+3)
= 6*12 + 6*3
= 72 + 18
= 90
Answer:
Hourly Rate = $12.22 per hour
Step-by-step explanation:
![\text{Labor Time = }4\tfrac{1}{2}=4.5\thinspace{ hours}](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20Time%20%3D%20%7D4%5Ctfrac%7B1%7D%7B2%7D%3D4.5%5Cthinspace%7B%20hours%7D)
Overhead Rate = 95%
Retail price of parts = $134.75
Total cost of job = $241.98
Cost of labor = Total cost - Retail price
= 241.98 - 134.75
= $107.23
Now, labor works for 4.5 hours and ears a total amount of $107.23
![\implies\text{Amount earned in one hour or hourly rate = }\frac{107.23}{4.5}\\\\\implies \text{Hourly rate = }\$23.83\text{ per hour}](https://tex.z-dn.net/?f=%5Cimplies%5Ctext%7BAmount%20earned%20in%20one%20hour%20or%20hourly%20rate%20%3D%20%7D%5Cfrac%7B107.23%7D%7B4.5%7D%5C%5C%5C%5C%5Cimplies%20%5Ctext%7BHourly%20rate%20%3D%20%7D%5C%2423.83%5Ctext%7B%20per%20hour%7D)
Now, Labor will get 95% overhead rate
⇒ The labor is getting 100% already but an overhead of 95% is also given
![\text{So, Hourly Rate = }\frac{23.83}{1+0.95}\\\\\bf\implies\textbf{Hourly Rate = }\$12.22\textbf{ per hour}](https://tex.z-dn.net/?f=%5Ctext%7BSo%2C%20Hourly%20Rate%20%3D%20%7D%5Cfrac%7B23.83%7D%7B1%2B0.95%7D%5C%5C%5C%5C%5Cbf%5Cimplies%5Ctextbf%7BHourly%20Rate%20%3D%20%7D%5C%2412.22%5Ctextbf%7B%20per%20hour%7D)
2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
Answer:
36.86989765°
Step-by-step explanation:
Sin^-1(3/5)