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Ugo [173]
3 years ago
15

A large bag of sand weighs 48.5 pounds a small bag of sand weighs 24.6 pounds if Mrs.Waggoner buys a large bag and A small bag h

ow many pounds of sand did she purchase altogether?
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer: 73.1 pounds of sand.

Step-by-step explanation: 48.5 Pounds (Big Bag) + 24.6 (Small Bag)

48.5+24.6 is equal to 73.1 pounds of sand. That is how much sand was purchased altogether.

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the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?
RideAnS [48]
Well, first off, let's find what is the slope of BC

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
%   (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2}
\\\\\\
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now, a line perpendicular to that one, will have a negative reciprocal slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies  -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}

now, we know the slope "m" of AB is -2 then, thus

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
%   (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2}
\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
\\\\\\
-1=a
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Step-by-step explanation:

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