Question

Ломанная состоит из трех звеньев. длинна одного звена 4 см, второе звено в 5 раз длиннее первого, а третье на 8 см короче второго. найди длинну всей ломанной. во сколько раз первое звено ломанной короче третьего

Answer 1

1) 4+5+8=17 см
2) 8÷4=2

Answer 2

Calculation of the Length of the Broken Line

To find the length of the entire broken line, we need to add up the lengths of all three links.

Let's denote the length of the first link as x cm. According to the given information, the second link is 5 times longer than the first link, so its length is 5x cm. Similarly, the third link is 8 cm shorter than the second link, so its length is 5x - 8 cm.

To find the length of the entire broken line, we add up the lengths of all three links:

x + 5x + (5x - 8)

Simplifying the expression:

11x - 8

Therefore, the length of the entire broken line is 11x - 8 cm.

Comparison of the Lengths of the First and Third Links

To find the ratio of the length of the first link to the length of the third link, we can divide the length of the first link by the length of the third link:

x / (5x - 8)

Simplifying the expression:

(1 / 5) / (1 - 8/5)

1 / (5/5 - 8/5)

1 / (-3/5)

Multiplying the numerator and denominator by -5:

-5 / 3

Therefore, the first link is 5/3 times shorter than the third link.

Please note that the search results provided by You.com did not directly answer the specific question about the lengths of the links in the broken line. However, the calculations provided above are based on the given information and mathematical principles.