Asquare is inscribed in a circle such that each corner touches the circle.
a. find a function that gives the area of the square as a function of the radius of the circle. simplify the function as much as possible, and describe any symmetry in the function. make certain to show all the steps you use to come up with the function, as well as describe your reasoning
b. state the domain and range of the function you came up with in part (a), keeping in mind all practical considerations.

A(r) = √2 * r

A(r) Domain is   R { r ;  r > 0}

Step-by-step explanation:

Diagonals of a square intercept each other in a 90° angle. The four triangles resulting from diagonal interception are equal and are isosceles triangles, with hipotenuse a side of the square

Therefore we apply  Pythagoras theorem

Let   x be side of square, and r radius of the circle, ( diagonals touch the circle) then

x²  =  r² + r²

x²  = 2r²

x   =  √2 * r

Now Aea of square is :

A  =  L²          where L is square side

A(r)  = √2 * r

Domain of A(r)    =   R { r, r > 0}

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.