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NARA [144]
3 years ago
13

Hi I need to find DO length ​

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Answer:

10 cm

Step-by-step explanation:

If we assume that DC is parallel to AB, then triangle DOC is similar to triangle AOB.

However, even with this assumption, there is not enough information in the diagram to solve for DO.  We would also need to know the length of CO.  Then we could write a proportion:

DO / (DO + 20) = CO / (CO + 24)

Edit: OD is 2 cm shorter than OC.  If we call x the length of OD, then the length of OC is x+2.

Putting this into our proportion:

x / (x + 20) = (x + 2) / (x + 2 + 24)

x / (x + 20) = (x + 2) / (x + 26)

Cross multiply:

x (x + 26) = (x + 2) (x + 20)

Distribute:

x² + 26x = x² + 20x + 2x + 40

x² + 26x = x² + 22x + 40

4x = 40

x = 10

So the length of DO is 10 cm.

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Answer:

75 square feet

Step-by-step explanation:

The aquarium is designed to hold 62.5cubic feet

Since the aquarium has a square base, assume the aquaruim is a square prism

Let X be the lenght

Let y be the height

x^2.y = 62.5

y = 62.5x^2

The area of each side of the aquarium is xy. Since there are four sides, the total area of the side= 4xy

The area of the bottom of the aquarium = x^2

Total surface area = 4xy + x^2

Put y = 62.5/x^2 into the total surface area equation

A = 4x(62.5/x^2) + x^2

A= 250/x + x^2

Differentiate A with respect to x

dA/dx = -250(x^-2) + 2x

dA/dx = 0

0 = 2x - 250x^-2

2x = 250x^-2

2x =250/ x^2

2x^3 = 250

x^3 = 250/2

x^3 = 125

x = cbrt (125)

x = 5

Put x= 5 into A = x^2 + 250x^-1

A= 5^2 + 250(5^-1)

A= 25 + 250/5

A = 25 + 50

A = 75 square feet

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2 years ago
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The answer is 61,000
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5÷5+6÷6÷6÷6÷6÷6÷6÷6÷6÷6×6×7+7+8+9+3+5*6*6
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Step-by-step explanation:

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2 years ago
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