Answer:
Step-by-step explanation:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Tan(x)= 33/105
x = arctan(33/105)
x = 17.44718842 degrees.
Answer:
The height of the pan is 2 inches.
Step-by-step explanation:
Given : Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12 inches and it's with is
inches.
To find : What is the height of the pan ?
Solution :
The volume of a rectangle or prism is
![V=l\times w\times h](https://tex.z-dn.net/?f=V%3Dl%5Ctimes%20w%5Ctimes%20h)
Where, l=12 inches is the length
inches is the width
V=252 in.³ is the volume
h is the height
Substitute the value,
![252=12\times 10\frac{1}{2}\times h](https://tex.z-dn.net/?f=252%3D12%5Ctimes%2010%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20h)
![252=12\times \frac{21}{2}\times h](https://tex.z-dn.net/?f=252%3D12%5Ctimes%20%5Cfrac%7B21%7D%7B2%7D%5Ctimes%20h)
![h=\frac{252\times 2}{12\times 21}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B252%5Ctimes%202%7D%7B12%5Ctimes%2021%7D)
![h=2](https://tex.z-dn.net/?f=h%3D2)
Therefore, the height of the pan is 2 inches.
Answer:
< n < ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
<u>Step-by-step explanation:</u>
| 3n - 2 | - 2 < 1
<u> +2 </u> <u>+2 </u>
| 3n - 2 | < 3
3n - 2 < 3 and 3n - 2 > -3
<u> +2 </u> <u>+2 </u> <u> +2 </u> <u> +2 </u>
3n < 5 and 3n > -1
n <
and n > ![\frac{-1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B3%7D)
< n < ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
Interval Notation: ![(\frac{-1}{3},](https://tex.z-dn.net/?f=%28%5Cfrac%7B-1%7D%7B3%7D%2C)
![\frac{5}{3})](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%29)
Graph:
o--------------------o ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)