Cos θ = adjacent / hypothenus = 5/13
opposite = sqrt(hypothenus^2 - adjacent^2) = sqrt(13^2 - 5^2) = sqrt(169 - 25) = sqrt(144) = 12
sec θ = 1/cos θ = 1/(adjacent / hypothenus) = hypothenus / adjacent = 13/5
cot θ = 1/tan θ = 1/(opposite/adjacent) = adjacent / opposite = 5/12
sec θ = 13/5
cot θ = 5/12
Answer:
$164 refund
Step-by-step explanation:
2900 x .24= $686 withheld
2900 x .18= $522 actually owed
686-522= $164
The answer is that f-1(3) = 7.
In order to find the answer, we first must find the inverse function. The f-1 indicates that we are looking for an inverse. To find any inverse, we first must switch the x and f(x) values. We then solve for the new f(x), which gives us the inverse.
f(x) = (2x - 2)/4 ----> Switch x and f(x)
x = (2f(x) - 2)/4 -----> Multiply both sides by 4
4x = 2f(x) - 2 ----0-> Add 2 to both sides
4x + 2 = 2f(x) ------> Divide both sides by 2
f-1(x) = (4x + 2)/2
Now that we have the inverse function, we can put in 3 and find the answer.
f-1(x) = (4x + 2)/2
f-1(3) = (4(3) + 2)/2
f-1(3) = (12 + 2)/2
f-1(3) = (14)/2
f-1(3) = 7
Answer:
D infitently Many
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
