Answer:
Outline the reader's accomplishments and the good it has or will do. Keep your congratulation letter simple and concise. Be positive. Don't suggest that the fortunate event should benefit the letter-writer. Don't exaggerate your congratulatory words.
Step-by-step explanation:
ummm, hope this helps...
have a good day...
\(⌒▽⌒)
Answer:
Option B, ![516.3\ units](https://tex.z-dn.net/?f=516.3%5C%20units)
Step-by-step explanation:
<u>Step 1: Determine the area of the back</u>
![A = l * w](https://tex.z-dn.net/?f=A%20%3D%20l%20%2A%20w)
![A = 10\ units * 13\ units](https://tex.z-dn.net/?f=A%20%3D%2010%5C%20units%20%2A%2013%5C%20units)
![A = 130\ units^2](https://tex.z-dn.net/?f=A%20%3D%20130%5C%20units%5E2)
<u>Step 2: Determine the hypotenuse</u>
Pythagorean theorem → ![a^2 + b^2 = c^2](https://tex.z-dn.net/?f=a%5E2%20%2B%20b%5E2%20%3D%20c%5E2)
![(10-6)^2\ units + 7^2\ units = c^2](https://tex.z-dn.net/?f=%2810-6%29%5E2%5C%20units%20%2B%207%5E2%5C%20units%20%3D%20c%5E2)
![4^2\ units + 7^2\ units=c^2](https://tex.z-dn.net/?f=4%5E2%5C%20units%20%2B%207%5E2%5C%20units%3Dc%5E2)
![16\ units+49\ units=c^2](https://tex.z-dn.net/?f=16%5C%20units%2B49%5C%20units%3Dc%5E2)
![\sqrt{65}=\sqrt{c^2}](https://tex.z-dn.net/?f=%5Csqrt%7B65%7D%3D%5Csqrt%7Bc%5E2%7D)
![8.06 = c](https://tex.z-dn.net/?f=8.06%20%3D%20c)
<u>Step 3: Determine the area of the top</u>
![A = l * w](https://tex.z-dn.net/?f=A%20%3D%20l%20%2A%20w)
![A = 13\ units * 8.06\ units](https://tex.z-dn.net/?f=A%20%3D%2013%5C%20units%20%2A%208.06%5C%20units)
![A = 104.81\ units^2](https://tex.z-dn.net/?f=A%20%3D%20104.81%5C%20units%5E2)
<u>Step 4: Determine the area of the front</u>
![A = l * w](https://tex.z-dn.net/?f=A%20%3D%20l%20%2A%20w)
![A = 13\ units * 6\ units](https://tex.z-dn.net/?f=A%20%3D%2013%5C%20units%20%2A%206%5C%20units)
![A = 78\ units^2](https://tex.z-dn.net/?f=A%20%3D%2078%5C%20units%5E2)
<u>Step 5: Determine the area of the bottom</u>
![A = l * w](https://tex.z-dn.net/?f=A%20%3D%20l%20%2A%20w)
![A = 13\ units * 7\ units](https://tex.z-dn.net/?f=A%20%3D%2013%5C%20units%20%2A%207%5C%20units)
![A = 91\ units^2](https://tex.z-dn.net/?f=A%20%3D%2091%5C%20units%5E2)
<u>Step 6: Determine the area of the trapezoid</u>
![A = \frac{a + b}{2} * h](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D%20%2A%20h)
![A = \frac{10\ units\ +\ 6\ units}{2}*7\ units](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B10%5C%20units%5C%20%2B%5C%206%5C%20units%7D%7B2%7D%2A7%5C%20units)
![A = 8\ units*7\ units](https://tex.z-dn.net/?f=A%20%3D%208%5C%20units%2A7%5C%20units)
![A = 56\ units^2](https://tex.z-dn.net/?f=A%20%3D%2056%5C%20units%5E2)
<u>Step 7: Determine the total surface area</u>
![130\ units^2 + 104.81\ units^2 + 78\ units^2 + 91\ units^2 + 2(56\ units^2)](https://tex.z-dn.net/?f=130%5C%20units%5E2%20%2B%20104.81%5C%20units%5E2%20%2B%2078%5C%20units%5E2%20%2B%2091%5C%20units%5E2%20%2B%202%2856%5C%20units%5E2%29)
![515.81\ units^2](https://tex.z-dn.net/?f=515.81%5C%20units%5E2)
Answer: Option B, ![516.3\ units](https://tex.z-dn.net/?f=516.3%5C%20units)
I think that the answer is A
to get the slope of any line, all we need is two points off of it.
so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)
![\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-1}{4-0}\implies \cfrac{-3}{4}\implies -\cfrac{3}{4}](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B0%7D~%2C~%5Cstackrel%7By_1%7D%7B1%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B4%7D~%2C~%5Cstackrel%7By_2%7D%7B-2%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B-2-1%7D%7B4-0%7D%5Cimplies%20%5Ccfrac%7B-3%7D%7B4%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D)
Answer:
17/15 or 1 2/15
Step-by-step explanation: