Answer: 18.09yd
Step-by-step explanation:
A=πr^2
A= 3.14*2.4^2
A= 18.09yd
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
Answer:
The correct answer is 20x-1
Answer:
$17,277.07
Step-by-step explanation:
Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is
PV of annuity = ![\frac{P[1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BP%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
= ![\frac{3000[1-(1+0.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281%2B0.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-(1.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-0.4240976184]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-0.4240976184%5D%7D%7B0.10%7D)
= 
= 
= 17,277.071448 ≈ $17,277.07
Domain of fg(x) is determined by the domain of g(x).g(x) has domain such that x is any real number.So domain fg(x) is x such that x is any real number.