Agymnastics center charges a one-time membership fee of $35.75. in addition, the center charges its members $55.50 per class. what is the total cost to take two classes?

$146.75

Step-by-step explanation:

A gymnastics center charges a one-time membership fee = $35.75

In addition, the center charges its members per class fee = $55.50

to calculate the total cost we will multiply the per class fee by two and then add the one-time membership fee.

The total cost to take two classes = 35.75 +(55.50 × 2)

                                                        = 35.75 + 111

                                                         = $146.75

The total cost to take two classes would be $146.75.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

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