Step-by-step explanation:
Let a = 8 and b = 11. Using the law of cosines, we can write
![c^2 = a^2 + b^2 - 2ab\cos{c}](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2%20-%202ab%5Ccos%7Bc%7D)
![\:\:\:\:=(8)^2 + (11)^2 - 2(8)(11)\cos{37} = 44.44](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%288%29%5E2%20%2B%20%2811%29%5E2%20-%202%288%29%2811%29%5Ccos%7B37%7D%20%3D%2044.44)
![c = 6.67](https://tex.z-dn.net/?f=c%20%3D%206.67)
Now we're going to use the sine to find ![\angle{B}:](https://tex.z-dn.net/?f=%5Cangle%7BB%7D%3A)
![\dfrac{\sin{B}}{b} = \dfrac{\sin{37}}{c}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin%7BB%7D%7D%7Bb%7D%20%3D%20%5Cdfrac%7B%5Csin%7B37%7D%7D%7Bc%7D)
or
![\sin{B} =\left(\dfrac{b}{c}\right)\sin{37} = 0.992](https://tex.z-dn.net/?f=%5Csin%7BB%7D%20%3D%5Cleft%28%5Cdfrac%7Bb%7D%7Bc%7D%5Cright%29%5Csin%7B37%7D%20%3D%200.992)
or
![B = \sin^{-1}(0.992) = 83.0°](https://tex.z-dn.net/?f=B%20%3D%20%5Csin%5E%7B-1%7D%280.992%29%20%3D%2083.0%C2%B0)
Answer:
- k = 0.005
- doubling time ≈ 139 years
Step-by-step explanation:
Matching the form
A = A0·e^(kt)
to the given equation
A = 8·e^(.005t)
we can identify the value of k as being 0.005.
k = 0.005
___
The doubling time is given by the formula ...
t = ln(2)/k = ln(2)/0.005 ≈ 138.63
It will take about 139 years for the population to double.
The answer is n=-4 hope this helps
First find out how many bottles 250 vitamins are. Then, say if it was two bottles (it is not two bottles) then add $5.25 two times
The solution to the problem is as follows:
<span>increase the top by one each time.
the bottom is incriments of square's
ex: 4 squared is 16, 5 squared is 25.
The next 2 numbers are: 7/64 and 8/81
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!