Answer: 6.82
Step-by-step explanation:
So we know the Law of Sines which is that Sin A/a = Sin B/b = Sin C/c. The Sin on top of the fraction is the angle, and the letter on the bottom is the side opposite from that angle.
Our first step is going to be finding the last angle. We have 2 angles already, but one that's missing. We know that all triangles' angles add up to 180, so we can add 68+40=108. Then do 180-108 to get 72. Now we know the third and final angle.
Ok so back to Law of Sines. Now we can plug into that equation. We only need Sin A/a = Sin B/b (It doesn't matter what order you put them in). And remember the lowercase letter at the bottom represents the OPPOSITE side from one of the angles. Since the problem wants the side opposite Sin 68, let's set up a proportion.
Set up we have what we know. We know one side, and opposite that is the angle we already solved for. Now we can cross multiply and end up with:
Since we want to isolate x, we can divide each side by Sin 72.
x= 7(Sin 68)/Sin 72
So now let's put it into the calculator:
7(Sin 68)=6.2853
Now let's divide 6.2853/Sin 72
And you should be left with 6.82 if you round it!
Hey!
The answer is option c).
√9 is a rational number as √9 = 3..
while √10 is an irrational number..
Hope it helps^^
Answer: P = 166 units
Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.
I hope this helps!
Each friend would have taken a total of 35 rides each.
This can be verified by multiplying 35 by 35 to get 1225.
The first step is since you know what the slope is, you can just plug that into the equation. We now have y=3x+b, b being the y intercept.
3 is equal to 3/1, and you can use that to find the Y intercept. Start at the point that they game you and go up 3 and over 1. But this makes you further away from the Y axis, so you want to do the opposite. Go down 3 and over 1.\
This makes you end up on the Y intercept at (0,1)
Making the equation y=3x+1
