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castortr0y [4]
3 years ago
9

A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open trough (open top and ends) by turnin

g up two sides at right angles to the base. The sides will be the same height, x. If the trough is to have maximum volume, how many inches should be turned up on each side?
Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

4 inches should be turned up on both sides.

Step-by-step explanation:

In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.

100 * x * (16 - 2x) = MAX

100 * (16x - 2x^2) = MAX

-200x^2 + 1600x = MAX

Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).

x = -b/2a

x = -1600/2(-200)

x = -1600/-400

x = 4

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sergeinik [125]

Answer:

<u>58 units</u>

Step-by-step explanation:

I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)

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Finally, I solve for the area of the triangle:

1/2(46.25 x 2.5) ≈ <u>58 units</u> (rounded to the nearest whole number)

7 0
3 years ago
The ratio of shoes sold to sandals was 5:2.If there were 40sandals sold,how many shoes were sold?
MAVERICK [17]
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3 years ago
Can any one help get this one right so I don't go to summer school thx
Snezhnost [94]

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A

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
You have 3/4 cups of flour for your cake you need to add 5/6 more cups then you need to divide 2/3 cups for a different recipe s
UkoKoshka [18]

Answer:

19/72 or 0.26388....

Step-by-step explanation:

Simplify the following:

((3/4 + 5/6)/2)/3

((3/4 + 5/6)/2)/3 = (3/4 + 5/6)/(2×3):

(3/4 + 5/6)/(2×3)

Put 3/4 + 5/6 over the common denominator 12. 3/4 + 5/6 = (3×3)/12 + (2×5)/12:

((3×3)/12 + (2×5)/12)/(2×3)

3×3 = 9:

(9/12 + (2×5)/12)/(2×3)

2×5 = 10:

(9/12 + 10/12)/(2×3)

9/12 + 10/12 = (9 + 10)/12:

((9 + 10)/12)/(2×3)

9 + 10 = 19:

(19/12)/(2×3)

(19/12)/(2×3) = 19/(2×3×12):

19/(2×3×12)

2×3 = 6:

19/(6×12)

6×12 = 72:

Answer:  19/72 or 0.26388....

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3 years ago
Identify the transformation from PQRS to P'O'R'S' as shown:
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Answer:

Translation right and up

Step-by-step explanation:

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