How many different four-letter alarm codes can be formed for a house alarm if you can use any lowercase letter in the alphabet.

456,976

26^4. Normally if you had three shirts and four jeans you would multiply each number. So you would have 12 possible outfits. BUT since an alarm code has 26 possible "items" in each of the four spots, that is like have 26 shoes, 26 shirts, 26 jeans, 26 pairs of earrings. you have to multiply 26 four times which is the same as 26 to a root of 4 or 26^4.

This one did take me a minute haha, I hope I helped you :)

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

oof

step-by-step explanation: