Answer:
2.3+ (-3.94)
Step-by-step explanation:
well, we know the tree is growing at a rate of 36 feet every 3 years, how many feet is that in 1 year alone? well, simply 36/3 = 12.
so the tree is growing 12 feet per year.
when it was first planted, it was 5 feet tall, and then after every year, we have to add 12 feet subsequently, let's do that
year 1 .......... 5 + 12(1)
year 2 .......... 5 + 12(2)
year 3 .......... 5 + 12(3)
year 4 .......... 5 + 12(4)
year 5 .......... 5 + 12(5)
year 6 .......... 5 + 12(6)
year 7 .......... 5 + 12(7)
year y .......... 5 + 12(y)
![\bf \stackrel{\textit{height}}{h}~~=~~\stackrel{\textit{initial height}}{5}~~+~~\stackrel{\textit{yearly rate}}{12y} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{tree is now}}{77} = 5 + 12y\implies 72=12y\implies \cfrac{72}{12}=y\implies \boxed{6=y}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bheight%7D%7D%7Bh%7D~~%3D~~%5Cstackrel%7B%5Ctextit%7Binitial%20height%7D%7D%7B5%7D~~%2B~~%5Cstackrel%7B%5Ctextit%7Byearly%20rate%7D%7D%7B12y%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Btree%20is%20now%7D%7D%7B77%7D%20%3D%205%20%2B%2012y%5Cimplies%2072%3D12y%5Cimplies%20%5Ccfrac%7B72%7D%7B12%7D%3Dy%5Cimplies%20%5Cboxed%7B6%3Dy%7D)
Answer:
( i ) ∠AOB = 72
( ii ) ∠BOC = 67
( iii ) ∠COD = 134
( iv ) ∠AOD = 87
Step-by-step explanation:
Sum of angles in a circle is 360,
a + b + c + x = 360
72 + 67 + 134 + x = 360
273 + x = 360
x = 360 - 273
x = 87
∠AOB = a = 72
∠BOC = b = 67
∠COD = c = 134
∠AOD = x = 87
The Volume of the sphere is 267.946 repeating, the rounded answer though, is ≈<span>268
The formula I use is 4(3.14)(r^3)/3, I think it's easier, but that's just me. Hope this helps! ٩(ര̀ᴗര́)
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