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Kipish [7]
4 years ago
6

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an op

en box may be made. if the cardboard is 17 in. long and 12 in. wide, find the dimensions of the box that will yield the maximum volume. (round your answers to two decimal places.)
Mathematics
1 answer:
liberstina [14]4 years ago
5 0
The maximum value that could be reached would be about 211.05 cubic inches.

The initial measurements of the box are:
Length: 17
Width: 12
Height: 0

Right now, the volume is zero. However, if we let the height equal 0 (the amount of the cut out), we can write the following equation for the volume.

Volume = (17 - 2x)(12 - 2x)x

If you graph this, you will find a maximum value of 211.05, keeping in mind that the cut out must be less than 6.
You might be interested in
I solved this, but apparently, my answer was incorrect. Could someone explain?
Paha777 [63]

Answer:

24 cm^2

Step-by-step explanation:

Find Side Length:  

20cm/4 = 5cm

Use x:  

First Diagonal - 4x; Second Diagonal = 3x  

Pythagorean Theorem:  

a^2 + b^2 = c^2  

Use Pythagorean Theorem:

a = 1/2 of First Diagonal  

b = 1/2 of Second Diagonal  

c = Side Length  

2x^2 + 1.5x^2 = 5^2

4x^2 + 2.25x^2 = 25  

6.25x^2 = 25

x^2 = 4

x = 2  

Formula for Area of Rhombus:

1/2 * First Diagonal * Second Diagonal

Use Formula for Area of Rhombus:

1/2 * 4(2) * 3(2)

= 1/2 * 8 * 6  

= 4 * 6

= 24 cm^2

5 0
3 years ago
Solutions: <4 + <1 = ______
Tom [10]

Answer:

1 ..>5

2.. 30(1)

3.. Sorry

I don't know properly 3 answer

6 0
3 years ago
Please help me .....
wolverine [178]

Answer:

C - a stack of 15.6 watermelons

Step-by-step explanation:

Lets first go through each option:

<u>"A shopping receipt that totals $4.90"</u>:

This is an appropriate answer since many items sold are not priced at exact dollars (where there are no cents), so having $4.90 as the total cost after shopping is appropriate.

<u>"A soccer game where the average score is 4.7"</u>:

This is also an appropriate result since it is the <em>average</em> score of a soccer game, so finding a decimal is appropriate.

<u>"A stack of 15.6 watermelons"</u>:

This is not an appropriate result since it would be strange to say a 'stack' or group of something that is not a whole number.

<u>"A classroom with 24 students"</u>:

This is an appropriate result since the number of students is a whole number not a decimal.

Hope this helps :)

3 0
3 years ago
Is it 4/7? i need this for tomorrow
kupik [55]
You are correct. the answer is 4/7 and there are 12 girls and 16 boys.

Hope this helps.
3 0
4 years ago
2. On a scaled drawing, a building measures 4.5 cm tall. If the scale of the
kherson [118]
The answer is B because I did the math
4 0
3 years ago
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