Answer:

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to teh scale factor elevated o the cube
Let
z ----> the scale factor
x ----> the volume of the dilated prism
y ----> the volume of the original prism

we have


substitute

solve for x


There is a 2/3 probability. Why? Well, the cube is numbered 1-6 so that is 6 numbers. Out of 6, there are 4 numbers greater than 2. Because of this, there is a 4/6 probability that a number greater than 2 will be rolled. 4/6 reduces to 2/3. As a percentage and decimal, the probability would be 66.66666666% or 0.66666666666 (repeating).
Answer:
Step-by-step explanation:
Score on SAT Verbal Test
Answer:
It took 8 seconds for the leaf to reach the ground.
Step-by-step explanation:
The height of the leaf in feet can be found using the function:
y = -3.5*x + 28
where x is the time in seconds the leaf has been in the air.
You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:
0= -3.5*x + 28
and solving you get:
-28= -3.5*x
(-28)÷ (-3.5)=x
8=x
<u><em>
It took 8 seconds for the leaf to reach the ground.</em></u>