Answer:
7 (7.07106781187)
Step-by-step explanation:
All you have to do is find the diameter of the rectangle from two farthest corners. To do this, use the Pythagorean Theorem
(5^2) + (5^2) = c^2
25 + 25 = c^2
50 = c^2
7 ≈ c
Answer: She had left 54% of the money which is $1620.
Step-by-step explanation:
40% of $3000 = $1200
15% of $1200 = $180
$3000 - ($1200 + $180)
$3000 - $1380 = $1620
$1620 is the money she had left.
$1620 is 54% of $3000
She had 54% left of the money.
Hope that helped~!
Answer:
33.32
Step-by-step explanation:
<h2><u>can use cross multiplication </u></h2>
20 : 34
19.6 : x
20x = 19.6 * 34
20x = 666.4
x= 666.4/20
x=33.32
<u>area = 33.32 </u>
Answer:
9 units2
Step-by-step explanation:
area of a triangle= lengthxwidth/2
3x6=18/2=9
![\begin{array}{rrrrr} 10x&-&18y&=&2\\ -5x&+&9y&=&-1 \end{array}~\hfill \implies ~\hfill \stackrel{\textit{second equation }\times 2}{ \begin{array}{rrrrr} 10x&-&18y&=&2\\ 2(-5x&+&9y&)=&2(-1) \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{rrrrr} 10x&-&18y&=&2\\ -10x&+&18y&=&-2\\\cline{1-5} 0&+&0&=&0 \end{array}\qquad \impliedby \textit{another way of saying \underline{infinite solutions}}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brrrrr%7D%2010x%26-%2618y%26%3D%262%5C%5C%20-5x%26%2B%269y%26%3D%26-1%20%5Cend%7Barray%7D~%5Chfill%20%5Cimplies%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bsecond%20equation%20%7D%5Ctimes%202%7D%7B%20%5Cbegin%7Barray%7D%7Brrrrr%7D%2010x%26-%2618y%26%3D%262%5C%5C%202%28-5x%26%2B%269y%26%29%3D%262%28-1%29%20%5Cend%7Barray%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Brrrrr%7D%2010x%26-%2618y%26%3D%262%5C%5C%20-10x%26%2B%2618y%26%3D%26-2%5C%5C%5Ccline%7B1-5%7D%200%26%2B%260%26%3D%260%20%5Cend%7Barray%7D%5Cqquad%20%5Cimpliedby%20%5Ctextit%7Banother%20way%20of%20saying%20%5Cunderline%7Binfinite%20solutions%7D%7D)
if we were to solve both equations for "y", we'd get
notice, the 1st equation is really the 2nd in disguise, since both lines are just pancaked on top of each other, every point in the lines is a solution or an intersection, and since both go to infinity, well, there you have it.
