A scuba diver descended 13 5/12 feet below sea level. Then , he descended another 3 3/5 feet. What is the location of the diver after his second descent?

The final depth of the diver is 19.1 feet or 19 1/10 feet.

Step-by-step explanation:

In order to solve this problem we first need to convert the mixed fractions to decimals, to make the math easyer. To do that we sum the integer part with the fraction part as shown bellow:

distance 1 = 13 + 5/2 = 13 + 2.5 = 15.5 feet

distance 2 = 3 + 3/5 = 3 + 0.6 = 3.6 feet

Since the diver descended two times the final depth after his second descent is the sum of both distances. We have:

final depth = 15.5 + 3.6 = 19.1 feet = 19 1/10 feet

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.