B

2010015603

Level: 
B
The base \( ABCD \) of a square pyramid \( ABCDV \) has an edge of \( 12\,\mathrm{cm} \). The lateral edge of the pyramid is \( 10\,\mathrm{cm} \). Find the distance between the point \( V \) and the base \( ABCD \).
\( 8\,\mathrm{cm} \)
\( \sqrt{34}\,\mathrm{cm} \)
\( \sqrt{44}\,\mathrm{cm} \)
\( \sqrt{11}\,\mathrm{cm} \)

2010015602

Level: 
B
The base of a pyramid is a square with the side of \(4\, \mathrm{cm}\). The height of the pyramid is \(8\, \mathrm{cm}\). Find the angle between the lateral edge of the pyramid and the base plane. Round your result to two decimal places.
\( 70.53^{\circ} \)
\( 19.47^{\circ} \)
\( 75.96^{\circ} \)

2010015503

Level: 
B
Four participants of a target shooting competition do hit the target with hitting probabilities: \(0.82\); \(0.86\); \(0.90\) and \(0.94\). What is the probability that at least one of the participants does not hit the target? Round the result to four decimal places.
\(0.4034\)
\(0.5966\)
\(0.4800\)
\(0.0002\)

2010015502

Level: 
B
A set of Christmas tree lights contains \(10\) identical bulbs connected in parallel. Each of the bulbs has the reliability of \(96\,\%\). What is the probability (expressed as a percentage) that all of the bulbs will glow? Round the result to one decimal place. (Note: Reliability is the probability that the system will perform its intended function.)
\(66.5\,\%\)
\(96\,\%\)
\(66.4\,\%\)
\(92.2\,\%\)

2010015501

Level: 
B
Three identical light bulbs are connected to the battery as shown in the electrical circuit diagram. The reliability of each of the bulbs is \(0.95\). What is the probability that the current flows through the circuit? Round the result to \(4\) decimal places. (Note: Reliability is the probability that the component will perform its intended function.)
\(0.9476\)
\(0.8574\)
\(0.9951\)
\(0.0475\)

2010015308

Level: 
B
A roof gable has the shape of an isosceles triangle with the base of \(14\, \mathrm{m}\) and the height \(6\,\mathrm{m}\). What is the angle between the roof and the horizontal direction? (See the picture.) Round your result to one decimal place.
\(40.6^{\circ}\)
\(49.4^{\circ}\)
\(59.0^{\circ}\)
\(31.0^{\circ}\)