OGE 2023 Yashchenko 13th option FIPI school full analysis!
We are solving the 13th option of Yashchenko OGE 2023 of the FIPI school collection of 36 options. Analysis of all tasks. Getting ready for the OGE in mathematics! Analysis of OGE tasks from Yashchenko’s collection for 2023 for FIPI school, 36 options.
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OGE in mathematics; OGE mathematics 2022; OGE 2023 Yashchenko; Yashchenko 36 standard options; Mathematics 9th grade; Preparation for the OGE 2023; OGE; Pass the OGE in mathematics; OGE algebra; OGE geometry;
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Timing:
00:00:00 - introduction. Seryozha is vacationing with his dad in the village of Pirozhki in the summer. On Wednesday they are going to go by car to the village of Knyazheskoye. You can drive from the village of Pirozhki to the village of Knyazheskoye along a straight dirt road. There is a longer route: along a straight highway through the village of Vasilyevo to the village of Ryabinovka, where you need to turn left at a right angle onto another highway leading to the village of Knyazheskoye. There is also a third route: in the village of Vasilyevo, you can turn onto a straight dirt road to the village of Knyazheskoye, which goes past the pond.
The highway and dirt roads form right triangles.
00:00:14 - 1. Using the description, determine what numbers on the plan indicate the settlements.
00:01:47 - 2. How many kilometers will Seryozha and his dad travel from the village of Pirozhki to the village of Knyazheskoye if they go along the highway through the village of Ryabinovka?
00:02:10 - 3. Find the distance from the village of Vasilyevo to the village of Knyazheskoye in a straight line. Give your answer in kilometers.
00:02:46 - 4. How many minutes will it take Seryozha and his dad to get from the village of Pirozhki to the village of Knyazheskoye if they go along a straight dirt road?
00:03:46 - 5. The table shows the cost (in rubles) of some products in four stores located in the village of Pirozhki, the village of Knyazheskoye, the village of Vasilyevo and the village of Ryabinovka.
00:05:19 - 6. Find the value of the expression (4.8 * 0.4) / (0.6)
00:05:46 - 7. Which of the following numbers is between the numbers 5sqrt (6) and 6sqrt (5)?
In your answer, write down the number of the selected option.
00:06:29 - 8. Find the value of the expression (a^4)^(-3):a^(-17), when a=2
00:07:00 - 9. Find the root of the equation x/3-9=x.
00:07:28 - 10. There are identical-looking pies on a plate: 13 with meat, 11 with cabbage and 6 with cherries. Anton takes one pie at random. Find the probability that the pie will be with cherries.
00:07:54 - 11. The figures show the graphs of functions of the form y=kx+b. Establish a correspondence between the signs of the coefficients k and b and the graphs of the functions.
00:08:36 - 12. At the "Eh, Prokachu!" company The cost of a taxi ride (in rubles) lasting more than 5 minutes is calculated using the formula C = 170 + 15 (t - 5), where t is the duration of the ride (in minutes). Using this formula, calculate the cost of a 14-minute ride. Give your answer in rubles.
00:09:02 - 13. Indicate the solution to the inequality 5x - x ^ 2 is greater than 0
00:09:56 - 14. Yana has a bouncy ball (a rubber ball). She threw it on the asphalt with all her might. After the first bounce, the bouncy ball flew up to a height of 240 cm, and after each subsequent bounce from the asphalt, it flew up to a height half that of the previous one. After how many bounces will the height to which the bouncy ball flies up become less than 5 cm?
00:10:39 - 15. In triangle ABC, angle C is 90, BC = 7, AC = 35. Find tan B.
00:11:06 - 16. Angle A of a trapezoid ABCD with bases AD and BC inscribed in a circle is 52. Find angle B of this trapezoid. Give your answer in degrees.
00:11:29 - 17. Two sides of a parallelogram are equal to 6 and 17, and one of the angles of this parallelogram is equal to 30°. Find the area of this parallelogram.
00:11:54 - 18. A right triangle is depicted on a 1x1 grid paper. Find the length of its longer leg.
00:12:12 - 19. Which of the following statements are true?
1) All the heights of an equilateral triangle are equal.
2) There are three lines that pass through the same point.
3) If the diagonals of a parallelogram are equal, then this parallelogram is a rhombus.
00:12:37 - 20. Solve the inequality (4x-7)^2 is greater than (7x-4)^2
00:14:34 - 21. Two motorists left A for B at the same time. The first motorist traveled the entire distance at a constant speed. The second motorist traveled the first half of the distance at a speed of 30 km/h, and traveled the second half at a speed 9 km/h greater than the speed of the first motorist, as a result of which he arrived at B at the same time as the first motorist. Find the speed of the first motorist.
00:17:23 - 22. Plot the graph of the function y=x^2-8x+14, x is greater than 0; x-2, x is le...