Answer:
A, 52.5
Step-by-step explanation:
We see that the 42 side corresponds to the side with side length 16, so the factor is 42/16 = 21/8. Now, we are looking for the side that corresponds to x, which is 20. Multiplying by the scale factor, we have 20 x 21/8 = 52.5
Answer:
time = 4.4 s
horizontal distance = 488.8 m
Step-by-step explanation:
Height, h = 4 ft
Angle, A = 32 degree above X axis
velocity, u = 131 ft/s
Let the time taken is t.
Use second equation of motion

So, time is 4.4 s.
The horizontal distance is
d = u cos A t
d = 131 cos 32 x 4.4 = 488.8 m
Let

be the

matrix whose columns are

, and let

be the vector whose components are the constants

. Now consider the matrix equation

Multiplying both sides by

, we have

More explicitly, we're writing

Multiply both sides by

and the left hand side can be written as

We're told that

whenever

, so we're left with

Each of

are nonzero, which means their norms are nonzero, which necessarily implies that

, and so the vectors

must necessarily be linearly independent.