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Mice21 [21]
3 years ago
15

An open box is to contain a volume of 3 cubic meters. Given that the material forthe sides of the box costs 6 per square meter a

nd the material for the bottom costs 9per square meter, express the total costCof the box as a function of the lengthlandwidthw.
Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0

Answer: total cost = 36/w + 36/l + 9lw

Step-by-step explanation:

The formula for determining the volume of the rectangular box is expressed as

Volume = lwh

Where lwh represents the length, width and height of the box respectively.

Since the volume of the box = 3cm³,then

lwh = 3

h = 3/lw

Since the box is open, the surface area would be

2lh + 2wh + lw

Given that the material for the sides of the box costs 6 per square meter, the total cost for the sides is

(2lh × 6) + (2wh × 6)

Substituting h = 3/lw into the above expression, it becomes.

(2l × 3/lw × 6) + (2w× 3/lw × 6)

= 36/w + 36/l

Since the material for the bottom costs 9per square meter, the total cost for the bottom is

9 × lw = 9lw

Therefore, the total cost of the box as a function of the length land width is

36/w + 36/l + 9lw

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Ivahew [28]

Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm.  The shorter leg lies opposite to the 30° angle.  Recall that the sine function is defined as

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sin Ф = -----------------------

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which, in this case, works out to:

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and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

6 0
2 years ago
As part of a community-service project, a local club has decided to paint 864 walls across town. The club has 36 volunteers. If
tankabanditka [31]

Answer:

24 walls per volunteers

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3 years ago
Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C
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Answer:

D. On Ed

Step-by-step explanation:

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