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: 17939.74 yards
Explanation:
Given , A rectangular measures 100 meters by 150 meters
To find : Area of rectangle.
Formula :
Area of rectangle = Length x width
Here, let length = 100 meters and width = 150 meters
Then, Area of rectangle = 100 meters x 150 meters = 15,000 square meters
Also , 1 meter = 1.09361 yards
Then, Area of rectangle = 15,000 x 1.09361 x 1.09361 square yards
= 17939.7424815 square yards
≈ 17939.74 yards
Hence, the area of rectangle is 17939.74 yards .
c. The Moon is positioned directly between the earth and the sun is the statement that does not result in an eclipse.
Explanation:
- The Sun is completely blocked in a solar eclipse because the Moon passes between Earth and the Sun.
- it is just the right distance away from Earth, the Moon can fully blocks the Sun's light from Earth's perspective
That is force. Whenever you see the words push or pull always think of Force
Answer:When the length of a string is changed, it will vibrate with a different frequency.Shorter strings have higher frequency and therefore higher pitch.
