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dollymacy at 12:23 PM, 4/03/2011 (8 years ago)

(416 | Upcoming) (m)

A man was driving down the highway, and sees a sign saying "Sisters of Mercy, House of Prostitution, 10 miles"

Thinking it is some sort of joke, he pays no attention, until he sees a similar sign reading "Sister's of Mercy, House of Prostitution, 5 miles."

PUBLICITÉ

Still unsure, he drives on, until spotting a third sign saying "Sister's of Mercy, House of Prostitution, next exit". His curiosity getting the better of him, he takes the exit and parks his car outside the convent.

He knocks on the door, and tells the nun who answers "I saw your signs on the highway, are they for real?"

The nun answers "Yes", and tells him to give her $50 and follow her to a room.

He enters a room, and a second nun requests $50, and leads him to a door. Once he opnes the door, he is quickly shoved outside by the nun.

He finds himself behind the convent, where he sees the final sign, "Thank you for you contributions, you have just been screwed by the Sisters of Mercy."

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Step-by-step explanation:

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

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.