B

9000128806

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). The point \(M\) is the middle of the side \(CV \). Find the angle between the line \(AM\) and the plane \(ABC\). Round to two decimal places.
\(17.45^{\circ }\)
\(34.50^{\circ }\)
\(18.32^{\circ }\)

9000128801

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). The point \(M\) is the middle of the side \(CV \). Find the distance between the point \(M\) and the plane \(ABC\).
\(2\, \mathrm{cm}\)
\(\frac{\sqrt{34}} {2} \, \mathrm{cm}\)
\(\frac{5} {2}\, \mathrm{cm}\)

9000136903

Level: 
B
Simplify \(\left({4\above 0.0pt 0}\right) +\left ({4\above 0.0pt 1}\right) +\left ({4\above 0.0pt 2}\right) +\left ({4\above 0.0pt 3}\right) +\left ({4\above 0.0pt 4}\right)\).
\(4^{2}\)
\(14\)
\(\left({5\above 0.0pt 4}\right)\)
\(32\)
\(\left({8\above 0.0pt 4}\right)\)

9000136901

Level: 
B
The sum \(\left({15\above 0.0pt 8} \right) +\left ({15\above 0.0pt 9} \right)\) equals to:
\(\left({16\above 0.0pt 9} \right)\)
\(\left({15\above 0.0pt 10}\right)\)
\(\left({15\above 0.0pt 7} \right)\)
\(\left({16\above 0.0pt 8} \right)\)
\(\left({30\above 0.0pt 17}\right)\)

9000136905

Level: 
B
For \(n\in \mathbb{N}\), \(n\geq 2\), the difference \(\left({n\above 0.0pt 2} \right) -\left ({ n\above 0.0pt n-2}\right)\) equals to:
\(0\)
\(\left (n + 2\right )\left (n + 1\right )\)
\(\left({n+2\above 0.0pt n} \right)\)
\(n^{2} - 1\)
\(\left({n\above 0.0pt n}\right)\)

9000121802

Level: 
B
Consider a regular polygon with the central angle of \(20^{\circ }\). In the figure the cut of a regular polygon with unspecified number of vertices is shown. The red angle is the central angle of the polygon. Find the number of vertices of this polygon.
\(18\)
\(9\)
\(20\)
\(15\)