The linear equation for the remaining Federal Helium Reserves, r(t) = 20 -1.9t
There is 20 billion cubic feet of Helium in 2010. Helium is depleted by about 1.9 billion cubic feet each year.
Let 'r' denotes the remaining Federal Helium Reserves in billions of cubic feet.
Let 't' denotes the number of years since 2010.
We have to find a linear equation to represent the depletion of Helium through years since 2010. A linear equation will have two variables, one dependent and one independent variable. Here, let 'r' be the dependent variable and 't' be the independent variable.
Then the amount of Helium depleted in 't' years = 1.9t
So, the remaining Helium in the Federal Helium Reserve since 2010 = 20 - 1.9t.
Thus, r(t) = 20 - 1.9t
This is a linear equation because it depends on only one variable, 't'.
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A natural number is a counting number, it is like 1,2,3,4,5, etc
an integer is a natural number and also negative numbers and 0
so like -3,-2,-1,0,1,2,3
a natural number is always an integer
If you divide the numbers on the bigger triangle by 5 you get the numbers on the smaller one
If you want to remember the trig formulas, I suggest the “SOHCAHTOA” or the “Some old hippie caught another hippie tripping on acid method.” It combines all three principle formulas together. So, SOH means sine equals opposite over hypotenuse, and CAH means cosine equals adjacent over hypotenuse, and TOA means tangent equals opposite over adjacent.
Cosine equals adjacent/hypotenuse.
