9514 1404 393
Answer:
- 267/200 = 1.335
- 131/150 = 0.8733...
- 1/10,000 = 0.0001
- 1/12 = 0.0833...
Step-by-step explanation:
It might be helpful to think of the % symbol as being interchangeable with /100.
133 1/2% = (133 1/2)/100 = 267/200 = 1.335
87 1/3% = (87 1/3)/100 = 262/300 = 131/150 = 0.8733333... (repeating 3)
0.01% = 0.01/100 = 1/10000 = 0.0001
8 1/3% = (8 1/3)/100 = 25/300 = 1/12 = 0.0833333... (repeating 3)
Check the picture below.
![\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}asn ~~ \begin{cases} a=apothem\\ n=\stackrel{side's}{number}\\ s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ a=7\\ s=8.1\\ n=6 \end{cases}\implies \stackrel{\textit{area of the hexagonal base}}{A=\cfrac{1}{2}(7)(8.1)(6)} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20regular%20polygon%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dasn%20~~%20%5Cbegin%7Bcases%7D%20a%3Dapothem%5C%5C%20n%3D%5Cstackrel%7Bside%27s%7D%7Bnumber%7D%5C%5C%20s%3D%5Cstackrel%7Bside%27s%7D%7Blength%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D7%5C%5C%20s%3D8.1%5C%5C%20n%3D6%20%5Cend%7Bcases%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20hexagonal%20base%7D%7D%7BA%3D%5Ccfrac%7B1%7D%7B2%7D%287%29%288.1%29%286%29%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\textit{volume of a prism}\\\\ V=Bh ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(7)(8.1)(6)\\ V=3572.1 \end{cases}\implies 3572.1=\cfrac{1}{2}(7)(8.1)(6)h \\\\\\ 3572.1=170.1h\implies \cfrac{3572.1}{170.1}=h\implies \boxed{21=h}](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20prism%7D%5C%5C%5C%5C%20V%3DBh%20~~%20%5Cbegin%7Bcases%7D%20B%3D%5Cstackrel%7Bbase%27s%7D%7Barea%7D%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20B%3D%5Cfrac%7B1%7D%7B2%7D%287%29%288.1%29%286%29%5C%5C%20V%3D3572.1%20%5Cend%7Bcases%7D%5Cimplies%203572.1%3D%5Ccfrac%7B1%7D%7B2%7D%287%29%288.1%29%286%29h%20%5C%5C%5C%5C%5C%5C%203572.1%3D170.1h%5Cimplies%20%5Ccfrac%7B3572.1%7D%7B170.1%7D%3Dh%5Cimplies%20%5Cboxed%7B21%3Dh%7D)
well, the length of the tunnel is "h", now two 8 meters cars, that's 8+8=16 meters plus a 3 meter connector between them, that's 16 + 3 = 19 meters, can those two cars connected like so fit inside the tunnel? sure thing, "h" can fit 19 meters just fine.
Answer:
80 Students are in the band class
Step-by-step explanation:
I did this mentally so sorry if it is bad
16 = 20%
+
16 = 20%
= 40% 32 students
40% +40% = 80%
32+ 32 = 64
80+20%
64+16
80 Students are in the band class
Answer:
5 in^2
Step-by-step explanation:
2x2 for the square = 4 in
1x2/2 for the triangle = 1 in
