The figure below shows a triangular wooden frame abc. the side ad of the frame has rotted and needs to be replaced:

what is the length of the wood that is needed to replace ad?

The question has missing figure, the figure is in the attachment.

The length of wood needed to replace AD is .

Step-by-step explanation:

Given;

ABC is a triangle in which AB is of 12 inches in length.

∠DCB = 30°        ∠ACD = 15°

Solution,

In ΔABC,  BC=12 in

∠ACB = ∠DCB +  ∠ACD =

tan∠ACB =

Now in ΔDCB,

∠DCB = 30° and  BC=12 in

tan∠DCB =

Length of AD = Length of AB - Length of DB

Length of AD=

Thus  the length of wood needed to replace AD is .

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: