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Kobotan [32]
3 years ago
9

9 What dimensions do we need a rectangular

Mathematics
1 answer:
wlad13 [49]3 years ago
3 0

Answer:

W=30m L=90m

Step-by-step explanation:

A =2,700 m²

L=W+60

we know that area of a rectangle is A=L*W so we sustitute what we know

A=L*W

2,700 = (W+60)*W distribute

2,700 = W² +60W subtract 2,700 from both sides

W²+60W-2,700 =0

solve the quadratic equation with quadratic formula or on the calculator on the graph and will get W= -90 and W=30. Reject the -90 value because we can not have negative measurements. Our solution is W=30

L=A/W=2,700/30=90

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Five consecutive integers are:

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5n+10=265  subtract 10 from both sides

5n=255, divide both sides by 5

n=51

Our fifth number was n+4 so the fifth number is 55
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3 years ago
Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando
Lisa [10]

Answer:

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

Step-by-step explanation:

m=\frac{S_{xy}}{S_{xx}}  

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833  

And the slope would be:  

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

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3 years ago
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The answer is 3/6 or 1/2. If it is of a hour it's 30 minutes. <span />
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