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Darina [25.2K]
2 years ago
7

Nona is building a rectangular patio extending outside her house, so one edge of the patio is along the wall of the house. The a

rea of her patio is going to be 72 ft. She has 26 feet of fencing available to fence in the three sides of the house that are not against the wall. What are the two possible sets of dimensions for the patio?
Mathematics
1 answer:
pashok25 [27]2 years ago
4 0
The 2 possible ways to fence in the patio are having 8x9, with the nine being the length of the wall. Because 8+8+9=26. The second way is 18x4 and the 18 being the length of the wall. Because 18+4+4=26.
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A line of best fit predicts that when x equals 30, y will equal 34.215, but y actually equals 32. What is the residual in this c
Katarina [22]

Answer: A. - 2.215

Step-by-step explanation:

• A residual is the difference between the actual value and the predicted value in a regression model. It represents the vertical distance from the actual point to the point on the regression line.

\text{Residual=Actual value of y -predicted value of y}\\\\\Rightarrow\text{Residual}=32-34.215\\\\\Rightarrow\text{Residual}=-2.215

Hence, the residual in this case = -2.215

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SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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Angle 1 and angle 5 are equal so you can set the equations equal to each other. 60 - 2x = 70 - 4x 
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What is the answer to this slope A (1,3),B (4,7)
jeyben [28]
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7 0
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Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1
jek_recluse [69]

Answer:

S_{31}=71.3


Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

U_n=a_1+(n-1)d


We were given that the 9th term is 17.


\Rightarrow 17=a_1+(9-1)(-2.1)


\Rightarrow 17=a_1+(8)\times(-2.1)


\Rightarrow 17=a_1-\frac{84}{5}


\Rightarrow 17+\frac{84}{5}=a_1


\Rightarrow a_1=\frac{169}{5}


The sum of the first n-terms is given by the formula,


S_n=\frac{n}{2}(2a_1+(n-1)d)


To find S_{31}, we substitute n=31, a_1=\frac{169}{5} and d=-2.1.


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))



\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})


\Rightarrow S_{31}=\frac{713}{10}


\Rightarrow S_{31}=71.3


The correct answer is D















8 0
3 years ago
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