Answer:
, is inconsistent.
Step-by-step explanation:
Two linear equations are inconsistent when each group of coefficients associated with each variable have the same multiple and independent coefficients are different and have the same multiple. Since, the set of variables is , then the following condition must be observed:
(1)
(2)
(3)
(4)
Now we proceed to check each option:
Option 1: ,
(, , , )
, (This system is not inconsistent)
Option 2: ,
(, , , )
, (This system is not inconsistent)
Option 3: ,
(, , , )
, (This system is not inconsistent)
Option 4: ,
(, , , )
, (This system may be inconsistent)
(, )
(This system is inconsistent)
<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
90 and 91 are relatively prime, the way they can be relatively prime is to have no factors in common-
90- 2x3x3x5
91- 7x13
Answer:
Explanation: the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.
Step-by-step explanation: Hope this helps
btw can i have brainliest?
You need to do the Pythagorean therm , you know the a^2+b^2=c^2