24 x 0.25
6
24+6
30
so the answer is £30
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
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The answer is: 70 .
___________________________________________
Explanation:
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(20/100) x = 14; solve for "x".
(20/100) = 2/10 = 1/5 ;
(1/5) x = 14
x/5 = 14 ;
x = 14 * 5 ;
x = 70 . The answer is: 70 .
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Time taken by Daniel to catch up with Frank is 4 minutes.
Step-by-step explanation:
The question is on relative speed; speed of a moving object with respect to another.
The two cars are travelling in the same direction at different speeds thus;
Relative speed = speed of Daniel - speed of Frank = 50-45= 5 mph
The time which the two meet = distance/ relative speed
Distance = 1/3 miles, which equals 0.33 miles
Time taken by Daniel to catch up with Frank is = 0.33/5 =0.066 hours = 4 minutes.
Learn More
Relative speed: brainly.com/question/10681729
Keywords: car, travelling, miles,started at the same point,catch up with
#LearnwithBrainly
1.
An expression of the form

is called a "compound fraction"
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:

for example,

can be written as:

2.
when we subtract or add a fraction

from an integer k,
we first write k as a fraction with denominator n. We can do this as follows:

for example, if we want to subtract

from 8,
we first write 8 as a fraction with denominator 2:

3.
Thus,

4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:

(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D