The sum 51 5/6 + (-37 1/12) is equal to what?

2 answers:

7 0

The awnser is 14 9/12 the way I did it was 51 - 37 whitch equals 14 and i converted 5/6 to 10/12 and did 10/12 - 1/12 whitch is 9/12 or 3/4

postnew [5]3 years ago

6 0

Those two added together are equal to
14 and $\frac{3}{4}$

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Find the area.???????

Fed [463]

well, we can check the units right off the grid.

so, below the x-axis, we have a rectangle, is a 10x3, so it has an area of 10*3.

above the x-axis we have a trapezoid, it has to parallel sides or bases, top is 6 units, bottom base is 10 units, and it has an altitude of 2.

we can just get the area of both, sum them up, and that's the area of the figure.

$\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}~~
\begin{cases}
a,b=\stackrel{bases}{parallel~sides}\\
h=height
\end{cases}\\\\
-------------------------------\\\\
\stackrel{rectangle}{(10\cdot 3)}~~+~~\stackrel{trapezoid}{\cfrac{h(a+b)}{2}}\implies \stackrel{rectangle}{(10\cdot 3)}~~+~~\stackrel{trapezoid}{\cfrac{2(6+10)}{2}}
\\\\\\
30+16\implies 46$