Ответ:
![2) 10\frac{43}{65}](https://tex.z-dn.net/?f=2%29%2010%5Cfrac%7B43%7D%7B65%7D)
Пошаговое объяснение:
Задание 5.
Введем обозначения. Периметр - сумма длин всех сторон.
![P=AB+BC+AC\\P=\frac{1}{6}+1\frac{3}{5}+3\frac{5}{12}\\](https://tex.z-dn.net/?f=P%3DAB%2BBC%2BAC%5C%5CP%3D%5Cfrac%7B1%7D%7B6%7D%2B1%5Cfrac%7B3%7D%7B5%7D%2B3%5Cfrac%7B5%7D%7B12%7D%5C%5C)
Переведем дроби в неправильные:
- правильная дробь.
![1\frac{3}{5}=\frac{8}{5}\\](https://tex.z-dn.net/?f=1%5Cfrac%7B3%7D%7B5%7D%3D%5Cfrac%7B8%7D%7B5%7D%5C%5C)
![3\frac{5}{12}=\frac{41}{12}](https://tex.z-dn.net/?f=3%5Cfrac%7B5%7D%7B12%7D%3D%5Cfrac%7B41%7D%7B12%7D)
Приведем дроби к общему знаменателю - 60:
![P=\frac{1*10}{60}+\frac{8*12}{60}+\frac{41*5}{60}\\P=\frac{10}{60}+\frac{96}{60}+\frac{205}{60}=\frac{311}{60}=5\frac{11}{60}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%2A10%7D%7B60%7D%2B%5Cfrac%7B8%2A12%7D%7B60%7D%2B%5Cfrac%7B41%2A5%7D%7B60%7D%5C%5CP%3D%5Cfrac%7B10%7D%7B60%7D%2B%5Cfrac%7B96%7D%7B60%7D%2B%5Cfrac%7B205%7D%7B60%7D%3D%5Cfrac%7B311%7D%7B60%7D%3D5%5Cfrac%7B11%7D%7B60%7D)
Задание 6.
![(5-\frac{4}{5}):(1\frac{5}{6}-\frac{1}{10})*(1\frac{1}{2}+2\frac{4}{5}+\frac{1}{10})](https://tex.z-dn.net/?f=%285-%5Cfrac%7B4%7D%7B5%7D%29%3A%281%5Cfrac%7B5%7D%7B6%7D-%5Cfrac%7B1%7D%7B10%7D%29%2A%281%5Cfrac%7B1%7D%7B2%7D%2B2%5Cfrac%7B4%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B10%7D%29)
Для удобства счета переведем необходимые нам дроби в неправильные:
![1\frac{5}{6}=\frac{11}{6}\\1\frac{1}{2}=\frac{3}{2}\\2\frac{4}{5}=\frac{14}{5}\\](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B6%7D%3D%5Cfrac%7B11%7D%7B6%7D%5C%5C1%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D%5C%5C2%5Cfrac%7B4%7D%7B5%7D%3D%5Cfrac%7B14%7D%7B5%7D%5C%5C)
![1)5-\frac{4}{5}=\frac{25}{5}-\frac{4}{5}=\frac{21}{5}\\](https://tex.z-dn.net/?f=1%295-%5Cfrac%7B4%7D%7B5%7D%3D%5Cfrac%7B25%7D%7B5%7D-%5Cfrac%7B4%7D%7B5%7D%3D%5Cfrac%7B21%7D%7B5%7D%5C%5C)
![2)\frac{11}{6}-\frac{1}{10}=\frac{55}{30}-\frac{3}{30}=\frac{52}{30}=\frac{26}{15}\\](https://tex.z-dn.net/?f=2%29%5Cfrac%7B11%7D%7B6%7D-%5Cfrac%7B1%7D%7B10%7D%3D%5Cfrac%7B55%7D%7B30%7D-%5Cfrac%7B3%7D%7B30%7D%3D%5Cfrac%7B52%7D%7B30%7D%3D%5Cfrac%7B26%7D%7B15%7D%5C%5C)
![3)\frac{3}{2}+\frac{14}{5}+\frac{1}{10}=\frac{15}{10}+\frac{28}{10}+\frac{1}{10}= \frac{44}{10}\\](https://tex.z-dn.net/?f=3%29%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B14%7D%7B5%7D%2B%5Cfrac%7B1%7D%7B10%7D%3D%5Cfrac%7B15%7D%7B10%7D%2B%5Cfrac%7B28%7D%7B10%7D%2B%5Cfrac%7B1%7D%7B10%7D%3D%20%5Cfrac%7B44%7D%7B10%7D%5C%5C)
![4)\frac{21}{5}:\frac{26}{15}=\frac{21}{5}*\frac{15}{26}=\frac{21*3}{26}=\frac{63}{26}\\](https://tex.z-dn.net/?f=4%29%5Cfrac%7B21%7D%7B5%7D%3A%5Cfrac%7B26%7D%7B15%7D%3D%5Cfrac%7B21%7D%7B5%7D%2A%5Cfrac%7B15%7D%7B26%7D%3D%5Cfrac%7B21%2A3%7D%7B26%7D%3D%5Cfrac%7B63%7D%7B26%7D%5C%5C)
![5)\frac{63}{26}*\frac{44}{10}=\frac{63*22}{13*10}=\frac{63*11}{13*5}=\frac{693}{65}=10\frac{43}{65} \\](https://tex.z-dn.net/?f=5%29%5Cfrac%7B63%7D%7B26%7D%2A%5Cfrac%7B44%7D%7B10%7D%3D%5Cfrac%7B63%2A22%7D%7B13%2A10%7D%3D%5Cfrac%7B63%2A11%7D%7B13%2A5%7D%3D%5Cfrac%7B693%7D%7B65%7D%3D10%5Cfrac%7B43%7D%7B65%7D%20%5C%5C)
Ответ:
Пошаговое объяснение:
(x-7)²<√11(х-7)
(x-7)²-√11(х-7) <0
(х-7)(х-7-√11)<0
(х-7)(х-(7+√11))<0
___+__7__-___7+√11__+___>
(7;7+√11)
<span>√112-3√1,75+√63-1/2√343=</span>√(16*7)-3*√(7*1/4)+√(7*9)-1/2*√(49*7)=4*√7-3*1/2*√7+3*√7-1/2*7*√7=(4-1,5+3-3,5)*√7=2*√7
Наименьшее трехзначное число - 100.
Неизвестное число - х.
Наибольшее двухзначное число - 99.
(99 + х) - (100 - х) = 65
99 + х - 100 + х = 65
2х - 1 = 65
2х = 65 + 1
2х = 66
х = 66 : 2
х = 33 - неизвестное число.
Ответ: 33.