The most appropriate choice for similarity of triangles will be given by -
Speed of tip of the shadow of woman = 6 ft/s
What are similar triangles?
Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.
Here,
The diagram has been attached here
Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.
Height of street light = 18 ft
Height of woman = 6ft
The two triangles are similar [As height of woman is parallel to the height of pole]
To find the speed, we have to differentiate both sides with respect to time 't'
Speed of tip of her shadow = 6 ft
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Answer:
Step-by-step explanation:
Let the quadratic function be
We substitute into the equation to obtain;
We substitute to obtain;
We finally substitute to obtain;
We put equation (2) into equation (1) to get;
We add equation (4) and (5) to get;
We put into equation (5) to get;
The reqiured quadratic function is
Answer:
Step-by-step explanation:
Favorable outcome. To possible outcome
r = √(3V/πh)
multiply both sides by 3 to eliminate the fraction
πr²h = 3V ( divide both sides by πh )
r² = 3V/ πh ( take the square root of both sides )
r = √(3V/πh)
Composite because number that are greater than 5 are composite