The answer to the question
It's called the "dividend". A dividend is a number to be divided by another number. The 3 is the divisor, a number by which another number is to be divided.
Answer:
The answer to your question is x = 14.7
Step-by-step explanation:
Data
∠A = 20°
∠B = 46
a = 7
b = x
Process
To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.
The law of sines for this problem is
x / sin 46 = 7 / sin 20
-Solve for x
x = 7 sin 46 / sin 20
-Simplification
x = 7 (0.719) / 0.342
x = 5.035/0.342
-Result
x = 14.7
Answer:
c
Step-by-step explanation:
Given that:
![\sum \limits ^{\infty}_{k=1} \dfrac{kcos (k\pi)}{k^3+2}](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7B%5Cinfty%7D_%7Bk%3D1%7D%20%5Cdfrac%7Bkcos%20%28k%5Cpi%29%7D%7Bk%5E3%2B2%7D)
since cos (kπ) = ![-1^k](https://tex.z-dn.net/?f=-1%5Ek)
Then, the series can be expressed as:
![\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^kk)}{k^3+2}](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7B%5Cinfty%7D_%7Bk%3D1%7D%20%5Cdfrac%7B%28-1%29%5Ekk%29%7D%7Bk%5E3%2B2%7D)
In the sum of an alternating series, the best bound on the remainder for the approximation is related to its
term.
∴
![\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(3+1)}(3+1))}{(3+1)^3+2}](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7B%5Cinfty%7D_%7Bk%3D1%7D%20%5Cdfrac%7B%28-1%29%5E%7B%283%2B1%29%7D%283%2B1%29%29%7D%7B%283%2B1%29%5E3%2B2%7D)
![\sum \limits ^{\infty}_{k=1} \dfrac{(-1)^{(4)}(4))}{(4)^3+2}](https://tex.z-dn.net/?f=%5Csum%20%5Climits%20%5E%7B%5Cinfty%7D_%7Bk%3D1%7D%20%5Cdfrac%7B%28-1%29%5E%7B%284%29%7D%284%29%29%7D%7B%284%29%5E3%2B2%7D)
![= \dfrac{4}{64+2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B4%7D%7B64%2B2%7D)
![=\dfrac{2}{33}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2%7D%7B33%7D)