Answer:

Step-by-step explanation:
In probability, "OR" means "+" and "AND" means "*".
The total amount of people is:
32 + 54 + 78 + 112 + 96 = 372
Number of diabetic patients are 54
Number of eye patients are 112
Since we want "OR", we will add the two probabilities:
P(diabetic or eye problem) = 54/372 + 112/372 = 83/186
I'm not sure if this is the easiest way of doing this, but it surely work.
Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

Moreover, let CH=y and BC=z
Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

If we solve the first two equations for y squared, we have

And we can deduce

So that the third equation becomes

(we can't accept the negative root because negative lengths make no sense)
Answer:
1. keep counting
2. He can do 5 times 3 to get to the 15th shape and then say 2 more to get the 17th shape.
(The 17th shape would be triangle)
Answer:
3 sides and a right angle
Step-by-step explanation:
Running = 2/3
Swimming = 5/6
5/6 - 2/3 = 5/6 - 4/6 = 1/6
Answer : She spent 1/6 hour longer swimming than running.