Hello!
We will write and solve this equation below.
6.
x-24=35
Add 24 to both sides.
x=59
7.
4c=28
Divide both sides by 4.
c=7
I hope this helps!
Check the picture below.
so the volume will simply be the area of the hexagonal face times the height.
![\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20regular%20polygon%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B4%7Dns%5E2%5Cstackrel%7B%5Cqquad%20degrees%7D%7B%5Ccot%5Cleft%28%20%5Cfrac%7B180%7D%7Bn%7D%20%5Cright%29%7D~~%20%5Cbegin%7Bcases%7D%20n%3D%5Cstackrel%7Bnumber~of%7D%7Bsides%7D%5C%5C%20s%3D%5Cstackrel%7Blength~of%7D%7Bside%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20n%3D6%5C%5C%20s%3D12%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B4%7D%286%29%2812%29%5E2%5Ccot%5Cleft%28%20%5Cfrac%7B180%7D%7B6%7D%20%5Cright%29%20%5C%5C%5C%5C%5C%5C%20A%3D216%5Ccot%2830%5Eo%29%5Cimplies%20A%3D216%5Csqrt%7B3%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20hexagon%7D%7D%7B%28216%5Csqrt%7B3%7D%29%7D~~%5Cstackrel%7Bheight%7D%7B%2810%29%7D%5Cimplies%202160%5Csqrt%7B3%7D~~%5Capprox%20~~3741.2~cm%5E3)
The number is 999777888.
S<u>tep-by-step explanation:</u>
Reaching to the answer by solving the clues one by one.
The number is a 9 digit whole number. So it has to be 0 or greater than 0
The number is even .So its last digit will be even.
Each of the digit appears exactly thrice. So there will be three digits used three times each in the number.
Each digit is greater than 6. So there will be no digits less than 7 in the number.
All the digits in each period are same. So a period of three adjacent digits will have same the same digit.for ex.777 is a period
The number is greater than 7. So the digit in the millions place and higher is 9.
The number is divisible by 3. So the sum of all the digits should be divisible by 3.
The number is divisible by 4. So the number formed by last two digits of the number should be divisible by 4.
Thousands digit is 7.
The number that satisfies all the given conditions is 999777888.
Answer:
9/5
Step-by-step explanation:
Answer: There are 45 combinations.
Step-by-step explanation:
If the order in which you watch the episodes does not matter, then we can use the combinatory defined as:
If we have N elements, and we want to make groups of K elements, we have
combinations.
In this case, we have a total of N = 10 episodes, and we want to make groups of K = 2.
Then we have:
There are 45 combinations.
