How many possible outcomes are there when you roll five dice?

7776 possible outcomes

Step-by-step explanation:

You know that each dice has 6 possible results.

1, 2, 3, 4 , 5 , 6

Then, if you throw 2 dice, the possible results are 6(for the first one)*6(for the second one) = 6*6 = 36

then, as you add another die, you add another 6 to that equation, this means that for 5 dice we have

combinations = 6*6*6*6*6 = 6^5 = 7776

But in this situation most of the numbers can be repeated, for example, then number 6, can be made from (1 + 1 + 1 + 1 + 2), (1 + 2 + 1 + 1 + 1), (1 + 1 + 1 + 2 + 1 +1)

etc, this means that the die that rolls a 2 can change, but the end result of the addition is the same, in this case the total range of possible values is the amount of dice times the biggest value minus the amount of dice times the smallest value:

5*6 - 5*1 = 30 - 5 = 25 possible results

So you have 7776 combinations that give a only 25 possible results (a number between 5 and 30)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.