Answer:
B. 10/91
Step-by-step explanation:
Box has 5 red buttons and 9 blue buttons.
We add 5 and 9 to get the total buttons.
5 + 9 = 14
Then, we find the probability for a red button.
5/14 = .35
Now, that we've taken out 1 button.
The amount of buttons available changes.
14 - 1 = 13
There are 4 red buttons remaining.
The probability for a red button changes to 4/13.
4/13 = .30
Then, we multiply both probabilities.
.30 x .35 = .111
Convert to a fraction.
.111 = 10/91
Thus it would be B.
<span>All of the following are examples of composite numbers except which one?
2.</span>
Answer:
20/48
Step-by-step explanation:
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
