Lottery codes in the format xyz are to be distributed. if x is an uppercase vowel, y is an uppercase consonant, and z can be any single-digit number, including 0, how many lottery codes are possible?

1050

Step-by-step explanation:

Lottery codes in the format XYZ

X is an uppercase vowel

Y is an uppercase consonant

Z can be any single-digit number

So, there are 5 vowels.

We need to select 1 vowel from these 5

There 21 consonants.

We need to select 1 consonant from these 21

There are 10 single digit number 9(including 0)

We need to select 1 single digit number  from these 10

Now we will use combination to find  how many lottery codes are possible

Formula :

No. of lottery tickets are possible:

=  

=  

=  

=  

=  

Hence 1050 lottery tickets are possible.

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45