To calculate the employee raise, we multiply how much he is making by the percent of his raise.
Raise= 14.41*7.5%
Change to decimal 14.41*.075
Raise=.75
His raise is $10.80
Answer:
1/18
Step-by-step explanation:
-(-5/9) would turn into a positive 5/9. It cancels its own negative out.
The problem then turns to -1/2+5/9. Find the least common denominator and then combine.
Check the picture below.
so the area of the hexagon is really just the area of two isosceles trapezoids.
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D2%5C%5C%20b%3D4%5C%5C%20h%3D2%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B2%282%2B4%29%7D%7B2%7D%5Cimplies%20A%3D6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Btwice%20that%20much%7D%7D%7B2A%20%3D%2012%7D%20%5Cend%7Barray%7D)
Answer:
False
Step-by-step explanation:
The angle between a tangent and radius is right.
Use the converse theorem of Pythagoras to determine.
If the square on the longest side is equal to the sum of the squares on the other two sides then the triangle is right and the segment is a tangent.
longest side = 13.1 ⇒ 13.1² = 171.61
11.3² + 6.65² = 127.69 + 44.2225 = 171.9125
Since 171.61 ≠ 171.9125 the line is not a tangent
