Question

Реши задачи и выбери правильный ответ «да» или «нет». 1.Сторона одного квадрата равна 4 см 5 мм, будет ли его периметр равен 18 см? 2.Лера начала читать книгу, когда Катя прочитала уже 15 страниц такой же книги. Сможет ли догнать Лера Катю через 3 дня, если Лера читает 18 страниц в день, а Катя - только 12? 3.В 4 автобусах можно разместить 120 человек. А 200 человек поместятся в 7 таких автобусах. 4.Если периметр треугольника равен 65 см, одна из его сторон равна 17 см, вторая - 29 см, то третья сторона равна 18 см. 5.Одна булочка стоит 12 руб. 50 коп., значит, за 5 таких булочек нужно заплатить 62 руб. 25 коп.

Answer 1

1. Нет, т.к. 4см 5мм = 4 1/2, а S квадрата = а², т.е. (4,5)²=20,25
2. Да, т.к. 3*18=54 страницы прочтет Лера за 3 дня, а Катя прочтет 15+12*3=15+36=51 страницу
3. Да, т.к. 120:4=30 человек умещается в 1 автобус, 30*7=210 человек поместится в 7 таких автобусов, а 210>200
4. Нет.
P треугольника = а+b+c
Отсюда с = P-(a+b) = 65-(17+29) = 65-46 = 19
5. Нет.
12,5*5 = 62,50

Answer 2

1. To find the perimeter of a square, we need to add up the lengths of all four sides. Given that one side of the square is 4 cm 5 mm, we need to convert this to a single unit of measurement. Since 1 cm = 10 mm, we can convert 4 cm to mm by multiplying it by 10, resulting in 40 mm. Adding this to the given 5 mm, we have a total of 45 mm for one side of the square.

To find the perimeter, we multiply the length of one side by 4, since all sides of a square are equal. Therefore, the perimeter of the square is 45 mm * 4 = 180 mm.

Now, we need to check if this is equal to 18 cm. To convert mm to cm, we divide by 10. So, 180 mm is equal to 18 cm.

Therefore, the perimeter of the square is indeed equal to 18 cm.

Answer: Yes.

2. Let's calculate the number of pages Lera will read in 3 days. Since Lera reads 18 pages per day, in 3 days she will read 18 * 3 = 54 pages.

Now, let's calculate the number of pages Katya will read in 3 days. Since Katya reads 12 pages per day, in 3 days she will read 12 * 3 = 36 pages.

To determine if Katya will catch up to Lera, we need to compare the total number of pages they have read. Since Katya has already read 15 pages, her total will be 15 + 36 = 51 pages.

Since 51 pages is less than 54 pages, Katya will not be able to catch up to Lera in 3 days.

Answer: No.

3. If 4 buses can accommodate 120 people, we need to find out how many people each bus can accommodate. To do this, we divide the total number of people by the number of buses: 120 people / 4 buses = 30 people per bus.

Now, we need to determine how many people can be accommodated in 7 buses. To do this, we multiply the number of people per bus by the number of buses: 30 people per bus * 7 buses = 210 people.

Since 200 people can be accommodated in 7 buses, it is possible for 200 people to fit in 7 such buses.

Answer: Yes.

4. To find the missing side of the triangle, we need to use the fact that the perimeter of a triangle is the sum of the lengths of all three sides. Given that the perimeter of the triangle is 65 cm and two sides are 17 cm and 29 cm, we can subtract the sum of these two sides from the perimeter to find the missing side.

65 cm - (17 cm + 29 cm) = 65 cm - 46 cm = 19 cm.

Therefore, the missing side of the triangle is 19 cm.

Answer: Yes.

5. To find the total cost of 5 buns priced at 12 rubles 50 kopeks each, we need to multiply the price of one bun by the number of buns.

12 rubles 50 kopeks * 5 buns = 62 rubles 50 kopeks.

Therefore, the cost of 5 buns is 62 rubles 50 kopeks.

Answer: Yes.