Question

Два кола мають зовнішній дотик. Відстань між їх центрами дорівнює 36 см. Знайти радіуси кіл якщо вони відносяться як 5:7. Полное розгалуженою .ПОМАГИТЕ ПЖ

Answer 1

Ответ:

15 см,  21 см.

Объяснение:

r/R = 5/7

r=5x см

R=7x см

5х+7х=36;  12х=36;  х=34

r=5*3=15 см

R=7*3=21 см

Answer 2

Answer in detail. Two circles have an external touch. The distance between their centers is 36 cm. Find the radii of the circles if they are in the ratio of 5:7. Full branching. HELP ME PLEASE

I will try to help you with this problem. Here are the steps to solve it:

1. Let the radii of the two circles be 5x and 7x, where x is a positive number. Since the circles have an external touch, the distance between their centers is equal to the sum of their radii. Therefore, we can write an equation:

5x + 7x = 36

2. Simplify and solve for x:

12x = 36 x = 36 / 12 x = 3

3. Substitute x = 3 into the expressions for the radii and get the values:

5x = 5 * 3 = 15 7x = 7 * 3 = 21

4. The radii of the circles are 15 cm and 21 cm. You can check this by adding them and seeing if they equal 36 cm:

15 + 21 = 36

I hope this explanation was helpful.