5. When an object is falling, the air resistance, A varies directly as the square of
the speed, S. At a certain speed the resistance is 60 newtons. What is the
resistance at twice this speed?

240 N

Step-by-step explanation:

Resistance force (A) varies directly with the square of the speed (S).

A = k S²

At a certain speed (S = s), the resistance is A = 60.

60 = k s²

k = 60 / s²

At double the speed, (S = 2s), the resistance is:

A = k (2s)²

A = (60 / s²) (2s)²

A = (60 / s²) (4s²)

A = 240

is should be y = 5x

step-by-step explanation:

correct me if im wrong

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.