11852.014 rounded to nearest tenth
1 answer:
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Notice the picture below
whateve the length is, is 20 more than whatever the width is
so, the width is "w" units, so the length is w+20 units then
the perimeter is all lengths added, in this case length+length+width+width
or
2l + 2w which is the same as 2(w+20)+2w
now, the smaller side, width, if times 2
and the length, times 3
they give a perimeter of 240
so, one could say that
![\bf \begin{cases} w=width\\ l=length\to w+20\\ p=perimeter\to 2l+2w\to 2(w+20)+2w\\ ---------------\\ p=240\qquad when\qquad 2w\qquad and\qquad 3l \\ \quad \\ 240=2(2w)+2(3l) \\ \quad \\ 240=2(w)+2[3(w+20)]\leftarrow \textit{solve for "w"} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0Aw%3Dwidth%5C%5C%0Al%3Dlength%5Cto%20w%2B20%5C%5C%0Ap%3Dperimeter%5Cto%202l%2B2w%5Cto%202%28w%2B20%29%2B2w%5C%5C%0A---------------%5C%5C%0Ap%3D240%5Cqquad%20when%5Cqquad%202w%5Cqquad%20and%5Cqquad%203l%0A%5C%5C%20%5Cquad%20%5C%5C%0A240%3D2%282w%29%2B2%283l%29%0A%5C%5C%20%5Cquad%20%5C%5C%0A240%3D2%28w%29%2B2%5B3%28w%2B20%29%5D%5Cleftarrow%20%5Ctextit%7Bsolve%20for%20%22w%22%7D%0A%5Cend%7Bcases%7D)
once you found "w", what is length? well, w+20
whateve the length is, is 20 more than whatever the width is
so, the width is "w" units, so the length is w+20 units then
the perimeter is all lengths added, in this case length+length+width+width
or
2l + 2w which is the same as 2(w+20)+2w
now, the smaller side, width, if times 2
and the length, times 3
they give a perimeter of 240
so, one could say that
once you found "w", what is length? well, w+20
Answer: The answer is the yellow lines in the attached figure.
Step-by-step explanation: As shown in the attached figure, regular hexagon FGHIJK and square ABCD shares common centre on the co-ordinate plane and AB || FG.
We are to find the line across which the combined figure will reflect onto itself.
In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.
Hence these yellow lines are the required lines.
Answer:
Each truss has a third side length of 12.6 ft
Step-by-step explanation:
We'll use the Pythagorean Theorem, relating the three sides of a triangle with
a^2 + b^2 = c^2
The base and height are a and b respectively.
The third side (the hypotenuse) is c
So
(12)^2 + (4)^2 = c^2
144 + 16 = c^2
160 = c^2
c =
12.6 ft