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irakobra [83]
4 years ago
11

Find the missing sides for angle ABC below. AND the solve for the area of angle ABC

Mathematics
1 answer:
Vinvika [58]4 years ago
6 0

There is a 45,45,90 triangle and a 30,60,90 triangle within triangle ABC.

So you can just use the relationships between sides in these special triangles to find the desired lengths.

AB=3√2

z=3

b=3 (It is isosceles so we know that b=z)

With b=3, we know that...

x=3·2=6

y=3√3

answers: z=3,b=3,x=6,y=3√3  

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a classroom has triangular tables there is enough space at each side of a table to seat one child the tables in this class are a
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4 years ago
What are the values of m and n in the matrix addition below?
Aleksandr [31]

ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


That is;


\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


This implies that;


n-2=10


We got this equation from row one-column one entry of both matrices.


n=12


Also, the row three-column three entries of both matrices will give us the equation;


m-5=40


m=45


Hence the correct answer is m=45,n=12.


The correct option is option 2






6 0
3 years ago
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