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Morgarella [4.7K]
3 years ago
15

a board 35 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Fi

nd the length of the shorter piece of board.
Mathematics
1 answer:
Ghella [55]3 years ago
5 0

9514 1404 393

Answer:

  14 ft

Step-by-step explanation:

The ratio of lengths is ...

  shortest : longest = (2/3) : 1 = 2 : 3

Then the ratio of the shortest to the total is ...

  shortest : (shortest +longest) = 2 : (2 +3) = 2/5

The shortest piece length is ...

  (2/5)×(35 ft) = 14 ft

The shorter piece of the board is 14 ft long.

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Answer:

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Step-by-step explanation:

Given in the question an equation,

2lne^{ln5x}=2ln15

Step 1

e^{lnx}=x

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Step 2

cancel 2 on both sides of the equation

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Step 3

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ln\frac{5x}{15}=0

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Step 6

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If A = (0, 0) and B = (6, 3) what is the length of overline AB ?
Kaylis [27]

Answer:

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We can find the length AB with the following formula:

d = \sqrt{(x_B -x_A)^2 +(y_B -y_A)^2}

And replacing we got:

d = \sqrt{(6-0)^2 +(3-0)^2} = \sqrt{45}= 3\sqrt{5}

So then the length AB would be 3\sqrt{5}

Step-by-step explanation:

For this case we have the following two points:

A= (0,0) and B = (6,3)

We can find the length AB with the following formula:

d = \sqrt{(x_B -x_A)^2 +(y_B -y_A)^2}

And replacing we got:

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