![\large{\underline{\underline{\pmb{\sf {\color {blue}{Solution:}}}}}}](https://tex.z-dn.net/?f=%5Clarge%7B%5Cunderline%7B%5Cunderline%7B%5Cpmb%7B%5Csf%20%7B%5Ccolor%20%7Bblue%7D%7BSolution%3A%7D%7D%7D%7D%7D%7D)
Given,
Area = 225 yd²
Base = 30 yd
Height = [To be calculated]
To find:
The height of the given triangle.
We know that, area of a triangle is:
![\frac{1}{2} \times (b \times h) \\ \\ \leadsto \frac{1}{2} \times (30 \times h) \\ \\ \leadsto \frac{1}{2} \times 30h \\ \\ \leadsto \frac{1}{ \cancel{2}} \times \cancel{30}h \\ \\ \leadsto1 \times 15h \\ \\ \leadsto \: h = 15 \: yd](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%28b%20%5Ctimes%20h%29%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%2830%20%5Ctimes%20h%29%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5Ctimes%2030h%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto%20%20%5Cfrac%7B1%7D%7B%20%5Ccancel%7B2%7D%7D%20%5Ctimes%20%20%5Ccancel%7B30%7Dh%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto1%20%5Ctimes%2015h%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto%20%5C%3A%20h%20%3D%2015%20%5C%3A%20yd)
Therefore, the require height is 15 yd.
Proof:
![\frac{1}{2} \times (b \times h) \\ \\ \leadsto \frac{1}{2} \times (30 \times 15) \\ \\ \leadsto \frac{1}{ \cancel{2}} \times \cancel{450} \\ \\ \leadsto1 \times 225 \\ \\ area = 225 {yd}^{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%28b%20%5Ctimes%20h%29%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%2830%20%5Ctimes%2015%29%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto%20%5Cfrac%7B1%7D%7B%20%5Ccancel%7B2%7D%7D%20%20%20%5Ctimes%20%20%5Ccancel%7B450%7D%20%5C%5C%20%20%5C%5C%20%20%5Cleadsto1%20%5Ctimes%20225%20%20%5C%5C%20%20%5C%5C%20%20area%20%3D%20225%20%20%7Byd%7D%5E%7B2%7D%20)
![\boxed{ \frak \red{brainlysamurai}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cfrak%20%5Cred%7Bbrainlysamurai%7D%7D)
Answer:
The answer is: full liability for unauthorized debit charges
Explanation:
Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the <em>card owner's duties and liabilities. </em>
You have to tell your card issuer, either by<em> writing or by phone.</em> This should be done within 60 days from the time you encountered the issue. This will allow you to dispute any unauthorized charges. However, the sooner you report, the better it will be so you won't incur any liabilities.
So, in the case above, you didn't report the fraudulent activity until 75 days. This gives you a <u>"full liability for unauthorized debit charges."</u>
Thus, this explains the answer.
A^2+b^2=c^2
20^2+b^2=29^2
400+b^2=841
-400. -400
b^2=√441
b=21
Printer A prints for 10 minutes, so prints
... (30 pages/minute)×(10 minutes) = 300 pages
Printer B prints for 7 minutes, so prints
... (40 pages/minute)×(7 minutes) = 280 pages
At the end of 10 minutes, the two printers will have printed
... 300 pages + 280 pages = 580 pages