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klemol [59]
3 years ago
7

An open box with a volume of 1500 cm cube is to be constructed by taking a piece of cardboard 20 cm by 40 cm, cutting squares of

side length x cm from each corner, and folding up the sides. Find the exact dimensions of the box.
Mathematics
1 answer:
Liula [17]3 years ago
7 0
The dimensions of the box formed will be:
width: 20 - 2x 
length: 40 - 2x
height: x

Volume = width x length x height
1500 = x(20 - 2x)(40 - 2x)
1500 = x(800 + 4x² - 120x)
1500 = 4x³ - 120x² + 800x
0 = 4x³ - 120x² + 800x - 1500
0 = x³ - 30x² + 200x - 375
Solving the cubic equation:
x = 5 (only integer root)

Length = 30 cm
Width = 10 cm
Height = 5 cm
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3 years ago
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Whats a divson problem with a quotient of 3 and remaainder of 12
Elden [556K]

Answer:

51 divided by 13

Step-by-step explanation:

# after 12 is 13

13*3=39

39+12=51

51/13 = 3 remainder 12

hope this helped :)

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3 years ago
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ΔRST and ΔXYZ are equilateral triangles. The ratio of the perimeter of ΔRST to the perimeter of ΔXYZ is 1 to 3. The area of ΔRST
Vanyuwa [196]

Answer:

97.425

Step-by-step explanation:

C▲RST/C▲XYZ=1/3

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The area of ▲RST is 10.825

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3 0
4 years ago
Plsss help me graph this!!! Attached is the question
e-lub [12.9K]

The graph is a straight line graph with a slope of -1/2

Equation of a line in point-slope form

The equation of a line in point slope form is expressed as:

y - y₁ = m(x - x₁)

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Point = (-2, 3)

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y-3 = -1/2(x+2)

Write in slope-intercept form

2(y-3) = -(x+2)

2y-2(3) = -x -2

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The graph of the equation is as shown below

Learn more on equation of a line here: brainly.com/question/18831322

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4 0
1 year ago
write how much has passed. 10:45 am to 11:15 am. 2:15 pm to 2:30 pm 6:15 am to 6:45 am 3:30 pm to 4:30 pm 9:15 am to 10:00 am
liq [111]

Answer:

1. 30 minutes

2. 15 minutes

3. 30 minutes

4. 60 minutes/ 1 hour

5. 45 minutes

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1.  60 - 45 = 15

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4. 60 - 30 = 30

30 + 30 = 60

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3 0
3 years ago
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