Answer:
Yes
Step-by-step explanation:
They are similiar because the big triangle is a dialated version of the first one
The volume of a pyramid is V = 1/3 x base length^2 x height
Let X = base length.
We are told the height is 1/2 the length, so height would be 1/2x
Now we have:
972 = 1/3 * x^2 * 1/2x
Simplifying we get:
972 = 1/6x^3
Multiply both sides by 6:
5832 = x^3
Take the cube root of both sides:
x = 18
The length of the base is 18 inches.
The height is 1/2 that, so the height would be 18/2 = 9 inches.
3 blue + 3 yellow = 6 total marbles.
The probability of picking a blue one first would be 3/6 ( 3 blue out of 6 total marbles).
3/6 reduces to 1/2.
After picking the first marble, there would be 5 marbles left in the bag.
The probability of picking a yellow one would be 3/5 ( 3 yellow and 5 total marbles left).
The probability of picking a blue then a yellow then becomes:
1/2 x 3/5 = 3/10 = 0.30 = 30%
Answer:
I have zero clue what the hell this is supposed to be
Step-by-step explanation:
