7hrs/ =x
21hrs 189
1323=7x
7 7
189=x
the speed of the boat in still water is 189
i got the answer by setting a proportion.
hope it work
Answer:
(-infinity, 1) ∪ (1,3) ∪ (3, +infinity)
Step-by-step explanation:
Here only the 2nd function, g(x) = x^2 - 4x + 3, affects the domain. Recognizing that division by zero is undefined, we set g(x) = 0 anyway and solve for x: x^2 - 4x + 3 = 0 = (x -3 )(x - 1) = 0. Thus, x cannot have either value 3 or 1. Using this info, we write the domain as follows:
(-infinity, 1) ∪ (1,3) ∪ (3, +infinity). This is Answer #3.
Answer:
- ![\frac{\sqrt{2+\sqrt{3} } }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%20%7D%20%7D%7B2%7D)
Step-by-step explanation:
using the half angle formula
cos(
) = ± ![\sqrt{\frac{1+cosx}{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B1%2Bcosx%7D%7B2%7D%20%7D)
cos195° = cos(180 + 15)° = - cos15°
then
cos15° = cos (
) =
=
=
= ![\frac{\sqrt{2+\sqrt{3} } }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%20%7D%20%7D%7B2%7D)
then
cos195° = - cos15° = - ![\frac{\sqrt{2+\sqrt{3} } }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%20%7D%20%7D%7B2%7D)
Answer: 101 degrees
Step-by-step explanation: