Numbers - problems
One brick is 2 kg and half a brick heavy. What is the weight of one brick?
- Right Δ
Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
- Motion problem
From Bratislavy to Martina go car at speed 83 km/h. From Martina to Bratislavy go another car at speed 62 km/h. How many minutes before the meeting will be cars 21 km away?
Points A[1,5] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate area of the square ABCD.
Annual rainfall in our country are an average of 854 mm. How many m3 of water rains on average per hectare?
If one side of the rectangle is larger 3-times and second 4-times, what percentage increases the area of rectangle?
John paid 1000 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%.
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 23 cm and tb=14 cm.
Determine the dimensions of cuboid a, b, c; if diagonal d=6 dm has angle with edge a α=57° and has angle with edge b β=60°
What is the least common multiple of 28, 42, 22?
- Hypotenuse and height
In a right triangle is length of the hypotenuse c = 45 cm and height hc = 19 cm. Determine the length of both trangle legs.
In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
Truck went for 5 hours and 21 minutes. If truck increase speed by 19 km/h, went same distance in 2.9 hours. Calculate this distance.
Event J has probability of 0.17. What is the probability that the event J occurs in:
One half of rope use Mam for packaging, half of the rest got son, half of the rest he took father and two fifths of what remained, got daughter. Remained 52 cm of rope. How long was rope at the beginning?
Calculate the integer number which, divided by 45 gives 20 and the rest 2.
The farmer farming 332 ha of arable land and the remaining 11% are meadows and pastures. How much land farmer owns?
Determine for what x fraction ?:
- Rising price
The book first become more expensive by 5 euros. New price was later increased by 13%. After the second price increase book cost 47 euros. What was the original price of the book?
- Exponential equation
Solve exponential equation (in real numbers): 12-x-10=18