A tree stands 15 ft high. It's shadow is 5 1/2 ft long. A man 6 ft tall stands near the tree. What would be the length of the man's shadow to the nearest foot.

2.2 ft

Step-by-step explanation:

Solved by proportionality, if the tree is 15 ft long and casts a shadow of 5.5 ft, a man's shadow, 6 ft tall, should be proportional to the shadow cast by the tree, as follows:

6/15 (ratio between heights) = 5.5 / x (ratio between shadows)

solving for x we have:

x = 5.5 * 6/15

x = 2.2

Therefore, the shadow of the 6 ft tall man will be approximately 2.2 ft.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

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: