Examples for secondary school students - page 188 of 230
Number of problems found: 4597
- Owner of the company
The company's owner, with extensive administrative activity, wants to sell the obsolete three machines at the price of CZK 1000 per 1 machine with a six-month warranty period. If the machine breaks down during this period, the owner will return the employ - Truncated pyramid
How many cubic meters is the volume of a regular four-sided truncated pyramid with edges of one meter and 60 cm and a high of 250 mm? - Determine 2426
Determine the first nine members of the sequence if a 10 = -8, q = -1. - Determine 2419
Determine the first seven members of the sequence if a8 = 12, d = 1 - Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - AP - basics
Determine the first member and differentiate the following sequence: a3-a5=24 a4-2a5=61 - Sequence - 5 members
Write the first five members of the sequence a_n =(3n - (-1)^n) +2 - Seats
Seats in the sports hall are organized so that each subsequent row has five more seats. The First has ten seats. How many seats are: a) in the eighth row b) in the eighteenth row - Population
What is the city's population with 3% annual growth if, in 10 years, the city will have 60,000 residents? - Sum 10
What is the probability that two dice thrown twice in a row will result in the sum of 10? - Coffee
Coffee merchant has coffee robusta and arabica species. 1 kg Robusta is worth 450 CZK, and Arabica 1 kg is 300 CZK more expensive. Calculate how many kilograms of Robusta and Arabica will need to produce 30 kg of the mixture so that the mixture costs 490 - GP - 8 items
Determine the first eight members of a geometric progression if a9=512, q=2 - Throw
We throw two times with two dice. What is the probability that the first roll will fall more than the sum of 9 and the second throw has a sum of 3 or does not have the sum of 4? - Arithmetic 2390
Determine the first 5 members of the arithmetic sequence if a6 = -42, d = -7 - Determine 2388
Determine the fifth member of the sequence if a1 = -32, q = 21 - Probability 2386 We throw a die seven times. What is the probability that: a) the first, second, and third times fall six and not in all the others, b) 5 does not fall four times in a row, and yes, in the last 3 hours?
- Triangle - is RT?
The triangle has a circumference of 90 cm. Side b is 1 cm longer than side c, and side c is 31 cm longer than side a. Calculate the length of the sides and determine whether a triangle is a right triangle. - Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane. - Mass
The thickness of a metallic tube is 1cm, and its outer radius is 11cm. Find the mass of such a 1m long tube if the metal density is 7.5g per cubic cm. - Cans
How many cans must be put in the bottom row if we want 182 cans arranged in 13 rows above so that each subsequent row has always been one in less? How many cans will be in the top row?
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