9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
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7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
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8. In light of the above, the shape is a square.
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The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
Proportional numbers are numbers with the same equivalent ratio
98/126 is proportional to 84/108
The number is given as:
Reduce fraction to the lowest term
Reduce 86/110 to the lowest term
Divide by 2/2
43/55 is not equivalent to 7/9
Reduce 98/126 to the lowest term
Divide by 14/14
7/9 is equivalent to 7/9.
Hence, 98/126 is proportional to 84/108
Read more about proportional numbers at:
brainly.com/question/1781657
Answer: Nicole has 88 erasers in all
Step-by-step explanation:
Number of erasers that Nicole has = 83
Number of erasers given to Nicole= 5
Total number of erasers Nicole has in all = 83+5= 88 erasers
Therefore Nicole has 88 erasers.
Answer:
t = p + 12
Independent variable: p
Dependent variable: t
Step-by-step explanation:
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
