On a particular afternoon, a student plans to take her niece to a movie followed by dessert. The possibilities for the movie are an animated movie, a comedy and an adventure movie while the choices for dessert are hot fudge sundae, strawberry shortcake, apple pie and chocolate milkshake. How many possibilities are there for the afternoon events?

12 possibilities

Step-by-step explanation:

The number of different possibilities for the afternoon events is determined by the product of the number of movie choices (3: animated, comedy and adventure) by the number of possible deserts (4: hot fudge sundae, strawberry shortcake, apple pie and chocolate milkshake):

There are 12 different possibilities.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.