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wlad13 [49]
3 years ago
13

what is the volume of a box that can be created from a sheet of metal that measures 12 inches by 30 inches assume there is no to

p to the box
Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that metal sheet is available with dimensions 12x30 inches.

Let x be the side of the square cut from all the four sides so that they can be folded to make open box.

The dimensions of the box would be 12-2x, 30-2x and x

Volume = V(x) = (12-2x)(30-2x)x\\=(360-84x+4x^2)x\\

x can take only values upto 6 since at 6 the length =0

Let x =5

Then volume = 5(20)(2) =200 square inches.

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How many 1/2 cup servings are in a box of oatmeal that contains 6 3/4
anzhelika [568]

6 and 3/4 divided by 1/2

27/4 divided by 1/2

27/4 * 2/1 = 27/2 = 13 and 1/2

7 0
3 years ago
The table shows the number of games a chess player won in professional competitions, based on the number of games played.
AfilCa [17]

slope  = (25-4)/(30-10)

 slope = 21/20

slope =21/20  

using point slope form

y-y1 = m(x-x1)

y-4 = 21/20 (x-10)

y = 21/20x -21/2 +4

y = 21/20 x -21/2 +8/2

y = 21/20x -13/2


let x=40

y = 21/20 (40) -13/2

y = 42-13/2

y = 35.5 games


If we round the slope to 1

slope =1

using point slope form

y-y1 = m(x-x1)

y-4 = 1 (x-10)

y = 1x -10 +4

y =  x -6


let x=40

y = 40-6

y = 34 games


4 0
3 years ago
Angle 1 and Angle 2 are supplementary. Angle 1 is 20 degree less than nine times the size of angle 2.
nadya68 [22]

Answer:

∠1=160° and ∠2=20°

Step-by-step explanation:

Let ∠1 = x

∠2 = y

as these two angles are supplementary their sum is 180

that x+y=180   ----(A)

Also given that ∠1 is 20 degree less than nine times the size of ∠2.

Hence

x=9y-20

putting value of x in A and solving for y

9y-20+y=180

10y=180+20

10y=200

y=10

Putting this y in A

x+10=180

x=160

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3 years ago
sammys mother is 2 years more than 3 times as old as sammy. their combinied age is 42. how old are sammys mother and sammy
kozerog [31]
Sammy's mother is 32 and Sammy is 10.
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3 years ago
It takes Andre 4 minutes to swim 5 laps.
soldier1979 [14.2K]

It takes Andre 1.25 minutes to swim a lap.

6 0
2 years ago
Read 2 more answers
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