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S_A_V [24]
3 years ago
6

52 is what percent of 260​

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

if we take 260 to be the 100%, what is 52 off of it as a percentage?

\bf \begin{array}{ccll} amount&\$\\ \cline{1-2} 260&100\\ 52&x \end{array}\implies \cfrac{260}{52}=\cfrac{100}{x}\implies 5=\cfrac{100}{x} \\\\\\ 5x=100\implies x = \cfrac{100}{5}\implies x=20

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an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o
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X=length
y=width
Area (rectangle)=length x width
we suggest this system of  equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2   it does not validate
x₂=3/2    ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒  3/10 miles=(3/2) /5 miles

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7 0
3 years ago
Solve the formula for calculating the perimeter of a parallelogram with sides
Marina CMI [18]

The formula for calculating the perimeter of the parallelogram is p/2-b=c.

The formula for calculating the perimeter of a parallelogram with sides b and c, for c.

<h3>What is the perimeter of the parallelogram?</h3>

The perimeter of a parallelogram is the total distance enclosed by its boundary. Since the parallelogram is a type of quadrilateral, thus it has four sides.

Substracting 2b on both side

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divide both sides by 2

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Therefore we get the formula for calculating the perimeter of the parallelogram is p/2-b=c.

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The vector equation of the line is

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Step-by-step explanation:

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