What is the value of m in the figure below? if necessary round your answer to the nearest tenth of a unit

m=6.7

Step-by-step explanation:

It turns out from similar triangles, that 3/BD = BD / 12. Use triangles  ABD and BDC to show this relationship. Solving this equation will give you BD

BD² = 3*12

BD² = 36     Just leave it in this form. Do your rounding at the end.

Because triangle BDC is a right angle triangle, use the Pythagorean Theorem to solve for m

m² =  BD^2 + 3^2

m² = 36 + 9

m² = 45                        

Take the square root of both sides.

√m² =√45

m=6.7082039325

m=6.7

Thus the correct option is A

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

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: