C

1103076811

Level: 
C
A circle is inscribed into an isosceles triangle. The base of the triangle is \( 4\,\mathrm{cm} \) long and the length of the altitude to the base is \( 10\,\mathrm{cm} \). Calculate the radius of the circle.
\( 1.64\,\mathrm{cm} \)
\( 0.82\,\mathrm{cm} \)
\( 0.20\,\mathrm{cm} \)
\( 0.12\,\mathrm{cm} \)

1103076809

Level: 
C
The diagram shows a square inscribed into an equilateral triangle with the side \( 4\,\mathrm{cm} \) long. Calculate the length of the side of the square. Round the result to two decimal places.
\( 1.86\,\mathrm{cm} \)
\( 2.14\,\mathrm{cm} \)
\( 3.12\,\mathrm{cm} \)
\( 4.61\,\mathrm{cm} \)

1103082705

Level: 
C
Function \( f \) is given completely by the next graph. Identify which of the following statements is false.
\( f(x)=\log_2⁡|x|;\ x\in[0.25;8] \)
\( f(x)=|\log_2⁡ x |;\ x\in[0.25;8] \)
\( f(x)=|-\log_2⁡ x|;\ x\in[0.25;8] \)
\( f(x)=\left|\log_{\frac12}⁡ x \right|;\ x\in[0.25;8] \)