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Genrish500 [490]
3 years ago
7

[tex]\int\limits^a_b {x}2 \, dx

Mathematics
1 answer:
Zarrin [17]3 years ago
8 0
Answer:

?

Explanation:

What?
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Find the surface area of the solid. Round to two decimal places
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Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
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\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b

so then the surface area of the triangular prism is,

\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672})  \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978

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3 years ago
Find the difference.<br> (−2g+7)−(g+11) =
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Answer:

-3g-4

Step-by-step explanation:

(-2g+7)-(g+11)= -2g+7-g-11= -3g-4

7 0
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Find one solution for the equation. Assume that all angles involved are acute angles. tangent (3 Upper B minus 32 degrees )equal
raketka [301]

Answer:

Step-by-step explanation:

Equation given

tan(3B-32 ) = cot ( 5B +10 ) = tan [ 90 - ( 5B + 10 ) ]

tan(3B-32 ) = tan  (90 - 5B - 10 )

(3B-32 ) =  (90 - 5B - 10 )

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2 7/12

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Simple fraction problem

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