Because arcsin or sin-1 only gives outputs that are in the first and fourth quadrant.
5pi / 6 is in the second quadrant.
Step-by-step explanation:
number 1 is 68 degrees Fahrenheit and number 2 is 98.6=37 degrees Celsius and 102 fahrenheit is higher than the normal
Answer:
I am in middle school
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Hope it helps!
Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
![\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D1%7D%5E%7Bn%7D%20ar%5E%7Bi-1%7D%20%3D%20%5Cfrac%7Ba%281-r%5E%7Bn%7D%29%7D%7B1-r%7D)
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
![\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%281-r%5E%7Bn%7D%29%7D%7B1-r%7D%20%3D%20%5Cfrac%7B40%281-1.005%5E%7B12%7D%29%7D%7B1-1.005%7D)
Solving it:
The sum is 493.4