<h3>Given</h3>
A regular polygon with area 500 ft² and apothem 10 ft
Cost of fence is $7.95 per ft
<h3>Find</h3>
Part III The cost of fence around an area scaled to 60 times the size
<h3>Solution</h3>
You don't want to think too much about this, because if you do, you find the regular polygon has 3.087 sides. The closest approximation, an equilateral triangle, will have an area of 519.6 ft² for an apothem of 10 ft.
For similar shapes of scale factor "s", the larger shape will have an area of s² times that of the smaller one. Here, it appears the area scale factor s² is 60, so the linear scale factor is
... s² = 60
... s = √60 ≈ 7.7460
The perimeter fence of the 500 ft² area is presumed to be 100 ft long (twice the area of the polygon divided by the apothem—found in Part I), so the perimeter fence of the industrial farm is ...
... (100 ft)×7.7460 = 774.60 ft
and the cost to construct it is
... ($7.95/ft)×(774.60 ft) ≈ $6158
2/15 is the complete answer l ala la la al ala la supposed to make this ahahahahah 20 characters long......
Answer:
The dimensions of the prism are 1, 2/3, and 5/3.
Multiplying all of these numbers, we see that the final volume of the prism is 10/9 units, which is also equal to 1 1/9, so the first choice (the one to the left) is correct.
Let me know if this helps!
Answer:
7
Step-by-step explanation:
factors of 126: 1, 126, 2, 63, 3, 42, 6, 21, 7, 18, 9, 14 and 84: 1, 84, 2, 42, 3, 28, 4, 21, 6, 14, or 7, 12
Answer: 770 voters in his district.
Step-by-step explanation:
- Population is the largest group of individuals carrying some specific similar characteristics.
- A sample is a subset of population that is used to represents the entire population.
Given : A state representative wants to know how voters in his district feel about enacting a statewide smoking ban in all enclosed public places, including bars and restaurants, as well as several other current statewide issues.
So the population here is : Voters in His districts .
He mails a questionnaire addressing these issues to an SRS (simple random sample) of 770 voters in his district. Of the 770 questionnaires mailed, 147 were returned.
Thus , the sample is : <u>770 voters in his district</u>.
Basically 770 voters is a subset of the entire population voters in his district.