Answer:
Step-by-step explanation:
Here, we have the known angle sandwiched between two known sides.
So, we have SAS.
And we want to find the side opposite to the angle.
Therefore, we can use the Law of Cosines:
Again, it is important what we substitute.
a and b are the two side lengths. So, we will substitute 8 for a and 13 for b.
C is our angle. So, substitute 64 for C.
And c is what we’re trying to solve.
Therefore:
Simplify:
Add:
Take the square root of both sides:
Use a calculator. So, c is approximately:
The c is our y. So, y is approximately 11.9 units.
Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions.) The word unique in this context means there is a solution, and it's the only one.
Hope this helps.
The parabola is y² = 6x
This defines a parabola with its vertex at the origin (0,0).
When the equation is compared with y² = 4ax, then
4a = 6
a = 3/2
Therefore the focus is at
(a, 0) = (3/2, 0)
The directrix is located at
(-a, 0) = (-3/2, 0)
The parabola opens right because a > 0.
Answer:
The directrix is x = - 3/2.
The parabola opens right.
First, convert 5 hours into minutes:
5 hours 60 min
------------ * --------------- = 300 min
1 1 hr
Next, find the unit rate in m/min:
9673.6 m
--------------- = 32.24 m/min
300 min
Now find the distance you can walk in 70 minutes at this rate:
32.24 m
------------- * 70 min = 2247 meters (answer)
1 min
You could walk 2247 meters (to the nearest meter) in 70 minutes.
The original motivation for choosing the degree as a unit of rotations
and angles is unknown. One theory states that it is related to the fact
that 360 is approximately the number of days in a year.[5] Ancient astronomers noticed that the sun, which follows through the ecliptic path over the course of the year, seems to advance in its path by approximately one degree each day
