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Answer is 1.5 square meters</h3>
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Work Shown:
The portion of the fabric that is laying across the ground is 2 meters. The portion of the fabric from the ground to the highest point (along the fabric's edge) is 1.5 meters, half of that is 0.75 meters and this is the length of the shadow. We can see this by forming a 30-60-90 triangle. The hypotenuse is 1.5 meters, the short leg is 0.75 meters. The short leg is always half of the hypotenuse of any 30-60-90 triangle, and the short leg is opposite the 30 degree angle.
So this shadow has length of 2 meters and 0.75 meters, making its area be 0.75*2 = 1.5 square meters when the sun is directly overhead at 12 noon
If you notice, <span>8, 16, 32, 64 <--- 8 * 2 is 16, 16 * 2 is 32 and so on.
so, you get the next term's value by simply multiplying the "current term" by 2. So is a geometric sequence then.
therefore, the "common ratio" or multiplier is 2, and the first term's value is 8.
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![\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1\\ n=13 \end{cases} \\\\\\ a_{13}=8\cdot 2^{13-1}\implies a_{13}=8\cdot 2^{12}\implies a_{13}=8\cdot 4096 \\\\\\ a_{13}=32768](https://tex.z-dn.net/?f=%5Cbf%20n%5E%7Bth%7D%5Ctextit%7B%20term%20of%20a%20geometric%20sequence%7D%5C%5C%5C%5C%0Aa_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0An%3Dn%5E%7Bth%7D%5C%20term%5C%5C%0Aa_1%3D%5Ctextit%7Bfirst%20term%27s%20value%7D%5C%5C%0Ar%3D%5Ctextit%7Bcommon%20ratio%7D%5C%5C%0A----------%5C%5C%0Ar%3D2%5C%5C%0Aa_1%5C%5C%0An%3D13%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0Aa_%7B13%7D%3D8%5Ccdot%202%5E%7B13-1%7D%5Cimplies%20a_%7B13%7D%3D8%5Ccdot%202%5E%7B12%7D%5Cimplies%20a_%7B13%7D%3D8%5Ccdot%204096%0A%5C%5C%5C%5C%5C%5C%0Aa_%7B13%7D%3D32768)
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Answer:
the standard deviations 12.2 if I'm correct.
So just find the factors of 90
90=2 times 3 times 3 times 5
so the factors could be
2,3,15
2,9,5
6,3,5
10,3,3
there are 4our
Answer:
the most it could cost would be $83 dollars
Step-by-step explanation:
2000-1500=500
500/3=83.33