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2 years ago

7

The filter system for the aquarium is a rectangular prism measuring 8 inches long, 8 inches wide and 15 inches high. What is the

volume of this filter system?

1 answer:

mafiozo [28]2 years ago

3 0

Answer:

960

Step-by-step explanation:

8*8*15

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121 bricks in 16.5 minutes 22 brings in m minutes

Westkost [7]

Use a proportion.

121/16.5 = 22/m

121m = 16.5 * 22

11m = 16.5 * 2

11m = 33

m = 3

3 minutes.

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3 years ago

What’s the answer? I need to know this so I can finish my homework FAST!!!!

soldi70 [24.7K]

Answer:

Step-by-step explanation:

he has $16.20 because the amount of cans times the amount of monney per pound equils the answer which means he can buy 2 batterys.

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3 years ago

If the m∠X = 34° and the m∠Z = 26°, what is the m∠Y? m∠Y = 26° m∠Y = 34° m∠Y = 60° m∠Y = 120°

Alik [6]

Answer is 120 because all of the angles add up to 180. 180-26-34= Y

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3 years ago

Bill makes leather shoes. He charges $45 for a pair of women's shoes and $50 for a pair of men's shoes. He sells x pairs of wome

BabaBlast [244]

Hello,

<span>
Let's
x pairs of women’s shoes sold
</span>y<span> pairs of men’s shoes sold
R(x,y)=45*x+50y=2500 (each week)

Or the week, =0 =>50*y=2500=>y=500.
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3 years ago

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

$\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}
\\\\\\
\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}
\\\\\\
\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}$

4 0

3 years ago