There are 8 different candidates for governor of a state. In how many different orders can the names of the candidates be printed on a ballot

Step-by-step explanation:

8 choices for the first position.

when one is picked, that leaves 7 choices for the second position.

then 6 choices for the third position.

and so on.

the result is "8!" = 8×7×6×5×4×3×2 = 40,320 different print orders are possible.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet