Using proportions, it is found that the length of AC is of 15 units.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The ratios in this problem are given as follows:
.
.
.
The entire length is of 18 units, AB is half of that, hence:
AB = 0.5 x 18 = 9 units.
BC is two thirds of the length from 6 to 15, hence:
BC = 2/3 x (15 - 6) = 6
Thus, the length of AC is:
AC = 9 + 6 = 15 units.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Human Adenovirus Type 12 (microbiology)
Step-by-step explanation:
The standard form of the polynomial is expressed as 
<h3 /><h3>The standard form of a polynomial</h3>
The standard form of a polynomial is degree 3 is expressed as:
Given the expression 5x-4-3x²+2x², we are to write it in standard form. The standard form is expressed as shown:
Collect the like terms;
Group the terms:
Hence the standard form of the polynomial is expressed as
Learn more on polynomial here: brainly.com/question/4142886
Answer: the cyclist must wait for 25 minutes until the hiker catches up.
Step-by-step explanation:
Distance = speed × time
The Cyclist was travelling in the same direction along the same path
as the hiker at a constant rate of 20 miles per hour. If the cyclist stops to wait for the hiker 5 minutes after passing her, then the distance that the cyclist travelled in 5 minutes(5/60 hour) is
20 × 5/60 = 100/60 miles
For the hiker to catch up with the cyclist, she would cover 100/60 miles at a speed of 4 miles per hour.
Time = distance/speed
Time required by hiker to catch up with the cyclist is
(100/60)/4 = 100/240 hour
Converting 100/240 hour to minutes, it becomes
100/240 × 60 = 25 minutes
