
<u>Step-by-step explanation:</u>
We have ,
,
We know that ![sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }](https://tex.z-dn.net/?f=sin%5Calpha%20%20%3D%20%5Cfrac%7BPerpendicular%7D%7BHypotenuse%7D%20%3D%20%5Cfrac%7BPerpendicular%7D%7B%5Csqrt%5B2%5D%7B%28Perpendicualr%29%5E%7B2%7D%20%2B%20%28Base%29%5E%7B2%7D%29%7D%20%7D)
Substituting values of P & B , 
Now , 
⇒
×
×2
⇒ 
⇒
⇒
⇒
Answer:
Alex rode 15.5343 miles in his bike
Step-by-step explanation:
1 kilometer is 0.621371 miles, multiply 0.621371 with 25. Hope this helps!
After reflecting the points of triangle GHI over the y axis, the new points will be:
G' (3,0)
H' (5,-5)
I' (-1,-5)
Answer:
B. 
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:

Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = 



This is a physics problem.
The law is that the momentum is preserved: total momentum before collsion = total momentum after collision
Momentum before collision = 80 kg.m/s - 100 kg.m/s = -20 kg.m/s
Then answer is b. - 20 kg.m/s