Answer:
the rate of the change of the length of the shadow is - 0.8625 m/s.
The negative(-) sign means the length of the shadow decreases at a rate of 0.8625 m/s.
Explanation:
Given the data in the question;
Let x represent the man's distance from building,
initially x = 1m2
dx/d t= -2.3 m/s
Also Let y represent shadow height
so we determine dy/dt when x is 4m from the building
form the image description of the problem, we see two-like triangles with the same base and height ratios
so
2 / (12-x) = y / 12
24 = y(12 - x )
y = 24 / (12-x)
dy/dt = 24/(12-x)² × dx/dt
Now at x = 4,
we substitute
dy/dt will be;
⇒ 24/(12 - 4)² × -2.3
= 24/64 - 2.3
= 0.375 × -2.3
dy/dt = - 0.8625 m/s
Therefore, the rate of the change of the length of the shadow is - 0.8625 m/s.
The negative(-) sign means the length of the shadow decreases at a rate of 0.8625 m/s.
Answer: b or c
Explanation: on khan academy
Answer:
D) A warm front brings drizzly weather.
Explanation:
What exactly is a psychological disorder? How is a psychological disorder diagnosed? Defining exactly what constitutes a mental disorder can be tricky and, definitions have changed over time.
The
first problem is that psychologists must first decide exactly how to
define disorder. How do you determine if there is something
psychologically wrong or unhealthy about a person? How do you decide
what's normal and what's abnormal?
If you were to define disorder
as something that lies outside of the statistical norm, then people who
are considered exceptionally talented or gifted in a particular area
would be regarded as abnormal. So rather than focus on actions that are
considered outside of the normal statistically speaking, psychologists
tend to concentrate on the results of those behaviors. Behaviors that
are considered maladaptive and cause significant personal distress and
interrupt daily functioning are more likely to be labeled as abnormal.
Today
many psychologists agree that psychological disorders are characterized
by both personal distress and impairment in multiple areas of life.
An equilibruium is not changed by a changed in pressure. the answer is false
