B

9000128807

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). Find the angle between the planes \(DCV \) and \(ABC\). Round to two decimal places.
\(53.13^{\circ }\)
\(59.04^{\circ }\)
\(43.31^{\circ }\)

9000128808

Level: 
B
The base \(ABCD\) of a square pyramid \(ABCDV \) has side \(6\, \mathrm{cm}\). The height of the pyramid is \(4\, \mathrm{cm}\). Find the angle between the planes \(ADV \) and \(BCV \). Round to two decimal places.
\(73.74^{\circ }\)
\(36.87^{\circ }\)
\(61.93^{\circ }\)

9000138302

Level: 
B
Two dices are rolled. Find the probability that we get either at least one number \(6\) or the sum of the numbers on both dices is \(8\).
\(\frac{14} {36}\doteq 0{.}3889\)
\(\frac{16} {36}\doteq 0{.}4444\)
\(\frac{11} {36}\doteq 0{.}3056\)
\(\frac{5} {36}\doteq 0{.}1389\)

9000128802

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 line \(BC\).
\(\frac{5} {2}\, \mathrm{cm}\)
\(\frac{\sqrt{34}} {2} \, \mathrm{cm}\)
\(\frac{\sqrt{7}} {2} \, \mathrm{cm}\)

9000138304

Level: 
B
Two different dice (a white die and a black die) are rolled. Find the probability that we get the number \(3\) on the black die and a number different from \(3\) on the white die.
\(\frac{5} {36}\doteq 0{.}1389\)
\(\frac{3} {36}\doteq 0{.}0833\)
\(\frac{6} {36}\doteq 0{.}1667\)
\(\frac{1} {36}\doteq 0{.}0278\)

9000128803

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 line \(AD\).
\(\frac{\sqrt{97}} {2} \, \mathrm{cm}\)
\(\frac{\sqrt{106}} {2} \, \mathrm{cm}\)
\(\frac{\sqrt{65}} {2} \, \mathrm{cm}\)