Please this is your answer.

Mathematics

2 answers:

navik [9.2K]2 years ago

6 0

Number 10 is correct. Number 11 is incorrect it’s 21 not -21.

11. 6 - 3 )3-(2-3)-10)-3
6 - 3(3- (-1) -10) -3
6 - 3 (3 + 1 -10) -3
6 - 3 x (-6) - 3
6 + 18 - 3
= 21

Effectus [21]2 years ago

4 0

Answer:

10. it is correct it is 24

11. 21

Step-by-step explanation:

I could not see the answer but it should look like this:

11.6-3(3-[2-3]-10)-3

6-3(3-[-1]-10)-3

6-3(3-(-1)-10)-3

6-3(4-10)-3

6-3(-6)-3

6-(-18)-3

(6-(-18))-3

24-3

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Ilia_Sergeevich [38]

check the picture below.

so the triangular prism is really just 3 rectangles and 2 right-triangles,

now, we know the base of one of the triangles is 2.6, what's its height?

since it's a right-triangle, we can simply use the pythagorean theorem to get "h".

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad
\begin{cases}
c=\stackrel{hypotenuse}{5.2}\\
a=\stackrel{adjacent}{2.6}\\
b=\stackrel{opposite}{h}\\
\end{cases}
\\\\\\
\sqrt{5.2^2-2.6^2}=h\implies 4.5\approx h$

so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.

$\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)}
\\\\\\
11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft$