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Ne4ueva [31]
2 years ago
15

An engineer needs a metal box to shield sensitive electronic devices from external electric fields. One side of the box should b

e open so that it can be placed over the components. The box can be made from a 6 ft by 4 ft sheet of metal by cutting squares from the corners and folding up the sides.
a. What is the maximum volume of the box?

b. What dimensions of the box result in the maximum volume?

Mathematics
1 answer:
Murljashka [212]2 years ago
6 0

Answer:

a. 8.4 ft³

b. 4.44 ft × 2.44 ft × 0.78 ft

Step-by-step explanation:

a. <em>Maximum volume </em>

We are creating a box with dimensions

l    = 6 – 2x

w = 4 – 2x

h = x

V = lwh  = x(6 – 2x)(4 – 2x)

We must determine the value of x that makes V a maximum.

One way is to plot the function V = x(6 – 2x)(4 – 2x).

The maximum appears to be at about (0.78, 8.4).

Thus, the maximum volume is 8.4 ft³.

b.<em> Dimensions </em>

 l = 6 – 2 × 0.78 = 6 – 1.56 = 4.44 ft

w = 4 – 2 × 0.78 = 4 – 1.56 = 2.44 ft

                                         h = 0.78 ft

The box with maximum volume has dimensions 4.44 ft × 2.44 ft × 0.78 ft.

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Please Help! One Question!
TiliK225 [7]
Here we don't know the length of the hypo, but do have measures of both legs of this right triangle:  x and 40 yd.

  Use the tangent function to determine the value of x:

  x
--------- = tan 62 degrees.  Solving for x:    x = (40 yd)(tan 62 deg).  
40 yd                                  can you evaluate this yourself?
5 0
3 years ago
1. An auto shop has 98 cans of oil at the
Troyanec [42]

Answer:

88 cans were sold, the most important variable is how much you started with and how much you ended with

Step-by-step explanation:

88 cans were sold because 98-10=88, and the most important variable is how much you started and ended with because the question asks how much were sold and you can't know that without knowing the start amount and end amount which is the 2 variables I used to get 88 in the equation (98-10)

The Equation is 98-10=88

5 0
2 years ago
Which of the follow is is trinomial
sasho [114]

Answer:

A. 3x^2 + 4x + 1

Step-by-step explanation:

A is the correct answer because there are three terms within the trinomial

6 0
3 years ago
Read 2 more answers
How many triangles can be made with the angle 70°, 70°, and 70°
seraphim [82]
Hey there!
Your answer is 0.
All the angles of a triangle must add up to 180 degrees.
However, the sum of these angles is not equal to 180 degrees.
70 + 70 + 70 = 210
210 is not equal to 180.
Hence, no triangles can be made using the angles 70, 70, and 70.
Hope this helps!
7 0
3 years ago
10)
serious [3.7K]

Answer:

i think its B

Step-by-step explanation:

3 0
2 years ago
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