Answer:
101.8 lb
Step-by-step explanation:
1760 sq ft are covered by 40 lb
4480 sq ft are covered by x
1760/40 = 4480/x
1760x = 40 × 4480
x = 179,200/1760
x = 101.818181...
Answer: 101.8 lb
Check the picture below.
so then, the perimeter of that hexagon will just be the sum of all its 6 sides, or namely 3⅖ + 3⅖ + 3⅖ + 3⅖ + 3⅖ + 3⅖, or just 6( 3⅖ ).
![\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=3\\ p=6\left(3\frac{2}{5} \right) \end{cases}\implies A=\cfrac{1}{2}(3)\left[ 6\left(3\frac{2}{5} \right) \right]\implies A=\cfrac{1}{2}(3)\left[ 6\left(\cfrac{17}{5} \right) \right] \\\\\\ A=\cfrac{1}{2}(3)\left(\cfrac{102}{5} \right)\implies A=\cfrac{1}{2}\left( \cfrac{306}{5} \right)\implies A=\cfrac{153}{5}\implies A=30\frac{3}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20regular%20polygon%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dap~~%20%5Cbegin%7Bcases%7D%20a%3Dapothem%5C%5C%20p%3Dperimeter%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D3%5C%5C%20p%3D6%5Cleft%283%5Cfrac%7B2%7D%7B5%7D%20%5Cright%29%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%283%29%5Cleft%5B%206%5Cleft%283%5Cfrac%7B2%7D%7B5%7D%20%5Cright%29%20%5Cright%5D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%283%29%5Cleft%5B%206%5Cleft%28%5Ccfrac%7B17%7D%7B5%7D%20%5Cright%29%20%5Cright%5D%20%5C%5C%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7D%283%29%5Cleft%28%5Ccfrac%7B102%7D%7B5%7D%20%5Cright%29%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%5Cleft%28%20%5Ccfrac%7B306%7D%7B5%7D%20%5Cright%29%5Cimplies%20A%3D%5Ccfrac%7B153%7D%7B5%7D%5Cimplies%20A%3D30%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.
The standard form of equation of a line is expressed as y = mx+c
m is the slope
c is the intercept
Rewrite the equation given
y-1 = 1(x+2)
y-1 = x+2
y = x+2+1
y = x+3
Comparing to the standard form, the slope m = 1.
For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1
Substitute
1(M) = -1
M = -1
For us to know the line that is perpendicular to the given line, its slope must be -1.
<em>Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).</em>
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Assuming you mean the central angle, semicircles have central angles of
.
h^2 - 12h + 20 can be factored to:
(h-10)(h-2)
These cannot be zero so, h cannot be 10 or 2.