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s2008m [1.1K]
2 years ago
10

1. If 1 pound (lb.) = 16 ounces (oz.), how many pounds are in 432 ounces?

Mathematics
1 answer:
swat322 years ago
6 0
I don’t know, goodluck tho!!
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How do you find a vector that is orthogonal to 5i + 12j ?
Rashid [163]
\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies  -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\

\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}
\\\\\\
slope=\cfrac{12}{{{ 5}}}\qquad negative\implies  -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}
\\\\\\
\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}&#10;\\\\\\&#10;\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}&#10;\\\\\\&#10;\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}
4 0
3 years ago
P/-8 + 9 &gt; 13 <br> pls explain i don't get it
KonstantinChe [14]

Answer:

p < -32

Step-by-step explanation:

<em>Given:</em> p/-8 + 9 > 13

<em>Rewrite:</em> \frac{p}{-8} + 9 > 13

<em>Subtract 9 from both sides:</em> \frac{p}{-8}  > 4

<em>Move the negative (it is a fraction): </em>\frac{-p}{8} > 4

<em>Multiply both sides by 8:</em> -p > 32

<em>Times by -1 (-p -> -1p): </em>p > -32

<em>Flip the sign (multiplied by a negative): </em>p < -32

Hope this helps, have a nice day :D

3 0
2 years ago
Read 2 more answers
mr.jones has a new car. the manufacturer says that the car should get about 28 miles per gallon in the city.about how many miles
vlada-n [284]
He should be able to travel 322 miles. It would cost him $33.235 rounded up to $33.24. 
7 0
3 years ago
just like Lucy and Donovan measured the length of the school garden Lucy's measurement is 11.3 meters in Donovan's measurement i
Nutka1998 [239]
No, because 11.3 is like saying 11 and 3 quarters .
4 0
3 years ago
Can someone plssss help me in this question
const2013 [10]

Answer:

75 degrees

Step-by-step explanation:

4 0
2 years ago
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