Step-by-step explanation:
sin(x/2) = sqrt((1 - cos(x))/2)
cos(x/2) = sqrt((1 + cos(x))/2)
tan(x/2) = sin(x/2)/cos(x/2)
sin(x) = 15/17
so, we can assume the Hypotenuse of the right-angled triangle is 17, the vertical leg is 15.
via Pythagoras we get the 3rd, horizontal side :
17² = 15² + side²
289 = 225 + side²
64 = side²
side = 8
cos(x) = 8/17
sin(x/2) = sqrt((1 - 8/17)/2) = sqrt(9/34) = 3/sqrt(34) =
= 0.514495755...
cos(x/2) = sqrt((1 + 8/17)/2) = sqrt(25/34) = 5/sqrt(34) =
= 0.857492926...
tan(x/2) = 3/sqrt(34) / 5/sqrt(34) = 3/sqrt(34) × sqrt(34)/5 =
= 3/5 = 0.6
Answer:
4x=100+6x=216=
Step-by-step explanation:
100+216=316 and 4x+6x= 10
316/10 = 31.6
Answer:
The systems of equation are identical and such there are infinitely many solutions. For the first part the correct answer is B. For the second part, the correct answer is A
Step-by-step explanation:
If we multiply the first equation by 4 the result is the second equation and thus the systems of equations are scalar multiples of each other. The solution to such a system is found by expressing one variable in terms of the other hence choice B.
Since the systems are scalar multiples of each other, if we graph them they would simply coincide since they are identical, that is they have same slope and y-intercept.
This is not clear whether you want to graph or want to find the inverse equation. So if you need to graph, than the answer to this is
Slope : 2/3
Y-intercept : 5
If it is another method, please let me know, I will solve for that too :)
Mark brainliest if I'm right.
Answer:
658.24 m
Step-by-step explanation:
The figure makes a triangle with vertices abc.
Where ab = 500 m
bc = 350 m
The angle abc = 100°
Using the cosine rule we can find the distance ac.
ac² = 500²+350² - 2×500×350×cos100°
= 372,500 - -60,776.86
= 433,276.86
ac = √433,276.86
= 658.24 m
