Examples for secondary school students - page 66 of 232
Number of problems found: 4622
- Trapezoid complete
Calculate side b and the height of the trapezoid if a = 5.1cm; c = 6.8cm; d = 4.7cm; circumference is 21cm, and the area is 17.85 cm². - Geometric progression members
We get three consecutive GP members if we subtract the same number from 33, 45, and 63. Determine this GP and calculate its fifth member. - GP - edge lengths
The block edge lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block. - Hexagonal pyramid tank
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm. - Regular square prism The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism.
- Latent heat
How much heat is needed to take from 100 g of water at 20°C to cool to the ice at -18°C? Mass heat capacity c (ice) = 21kJ/kg/°C; c (water) = 4.19 KJ/kg/°C and the mass group heat of solidification of water is l = 334kJ/kg - The farmer
The farmer sees the back fence of the land, which is 50 m long at a viewing angle of 30 degrees. It is 92 m away from one end of the fence. How far is it from the other end of the fence? - Tetrahedron surface area
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm. - Permutation exclusion problem
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place. - A bag
A bag contains nine blue marbles and one green marble. What is the probability of drawing a blue marble followed by a green marble without replacing the first marble before drawing the second marble? - Rectangular base
Calculate the pyramid's surface area with a rectangular base measuring 9cm, 4cm, and 6cm high. - Ring current
A metal ring with a radius of 10 cm is placed in a magnetic field so that the normal to its surface makes an angle of 60° with the induction lines. The induction of the magnetic field varies uniformly and drops from 0.45 T to 0.35 T in 0.50 s. Determine t - Cylindrical magnets
Calculate the magnetic field energy of a cylindrical coil with 400 turns, a length of 0.4 m, and a radius of 20 mm. A current of 3A passes through the coil. (µo = 4π 10-7 H/m) - Coil self-inductance
Calculate the self-inductance of the coil, which has 1,300 turns, if the inductive current through the coil changes by 6 * 10 ^ -5 Wb by a constant current change of 2A. - Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other? - Motor efficiency The electric motor with a power input of 25 kW works with an efficiency of 80 percent. He will do the work in 6 hours. What is the performance, and what part of the work is the loss?
- Eva sister age
Eva has a sister who is four years older. Ten years ago, she was twice as old as Eva. How old is Eva now? - Turn radius
What is the smallest radius a turn must have for a car to enter safely without exceeding a speed of 50 km/h? The coefficient of shear friction between the tires and the surface is 0.4. - Edmond
Edmond Santos borrowed USD 20,000 for 18 months at 6 1/2 % per year. Find the APR (Annual Percentage Rate) if he repaid the loan monthly. The answer is: Note: APR is expressed as a percentage representing the actual yearly cost of funds over a loan term. - Sport shooting
During sport shooting with a small-bore rifle, the following scores were achieved in one series: 9, 9, 8, 9, 10, 6, 8, 9, 9, 10, 8, 7, 6. a. Arrange the values in order of size. b. Construct a frequency distribution table and calculate the relative freque
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
