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
To learn more about similarity of triangles, refer to the link-
brainly.com/question/14285697
#SPJ4
The answer x = 11 is correct for problem 4. Nice work.
Use this x value to find the answer in problem 5. From problem 4, we're told that Romeo runs at a speed of 5 m/s. If he runs for x = 11 seconds,then he runs a total distance of:
5*x =(5 m/s)*(x meters) = (5 m/s)*(11 seconds) = 5*11 = 55 meters
The answer to problem five is 55 meters
<h3><u>4(2x^2 + 3x + 12)</u></h3>
We can factor a 4 out of this expression.
4(2x^2 + 3x + 12)
Now that the expression is simplified, we can see if splitting the middle term is possible.
<em><u>Display factors of 24.</u></em>
1 * 24
-1 * - 24
2 * 12
-2 * -12
3 * 8
-3 * - 8
4 * 6
-4 * -6
All factors of 24 have been listed, and none of these digits satisfy the criteria.
Trinomial cannot be further factored.
Answer:
The answer is 52.
Step-by-step explanation:
Subtract 56 by 4. You'll get 52.
