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Salsk061 [2.6K]
3 years ago
9

The lengths of corresponding sides of 2 proportional rectangles are 20cm. and 8cm. The width of the larger rectangle is 5cm. Wha

t is the proportion used to find the width of the smaller rectangle?
Mathematics
1 answer:
Zinaida [17]3 years ago
7 0
In this case, we have 2 proportional rectangles. That means the ratio of their <span>width:length</span>  will be same. The bigger rectangle length 20 cm and width is 5cm. Then to find the smaller rectangle width, you need to multiply the smaller rectangle length with width:length ratio. The ratio would be:

width:length ratio= bigger rectangle width/ bigger rectangle length= 5cm/20cm= 1/4

Then the smaller rectangle width is 8cm * 1/4= 2cm
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mars1129 [50]
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3 0
4 years ago
a rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section)
satela [25.4K]

The dimensions of the package of maximum volume that can be sent are 20 inches by 40 inches.

Let us represent the length of the square cross-section of the postal package with x, and the width of the package with y.

So, the perimeter is given by the equation -

y + 4x = 120

y = 120-4x    -----------(1)

the volume will be

V = x^{2} y        -----------(2)

Now, substitute (1) in (2), and we get,

V = x^{2} (120-4x)

V = 120x^{2} - 4x^{3}

Differentiating with respect to x, we get,

V' = 240x - 12x^{2}

V'=0

hence, 240x - 12x^{2} = 0

12x^{2} = 240x

dividing by 120x on both sides,

hence, x=20

Now, we know that,

y = 120 - 4x

y = 120-4(20)

y = 120-80

y=40

Hence, the dimensions that maximize the volume of the package are 20 inches by 40 inches.

Read more about maximum volumes:

brainly.com/question/10373132

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8 0
2 years ago
Someone please help me solve this
Tom [10]

Answer:

Step-by-step explanation:

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3 years ago
At part of an hour passes between 3:12pm an 4:30pm <br> Help
uranmaximum [27]

Answer:

1h 18min

Step-by-step explanation:

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7 0
3 years ago
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The fraction 3/10 is the difference of 8/10 and which fraction
Mars2501 [29]

Answer:

½ or 11/10

Step-by-step explanation:

3/10 = 8/10 - X

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Or,

X - 8/10 = 3/10

X = 11/10

5 0
3 years ago
Read 2 more answers
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