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Arlecino [84]
3 years ago
14

A rectangular box is designed to have a square base and an open top. The volume is to be 2048in.3

Mathematics
2 answers:
ladessa [460]3 years ago
6 0

Answer:

hi

Step-by-step explanation:

Let x = the length of the sides of the base and h = the height:

Volume = (area of base)(height)

V = x2h

2048 = x2h

2048/x2 = h

Surface Area = area of base + 4(area of vertical side)

SA = x2 + 4xh

Eliminate the h by using 2048/x2 = h:

SA = x2 + 4x(2048/x2)

SA = x2 + 8192 x-1

Take the derivative of SA wrt x, set it to zero, solve for x.  Plug that value of x into the surface area equation to find the minimum surface area.

allsm [11]3 years ago
3 0

Answer:

x=y=z in 3 dimensions. So, you have x2y=4=x3⟹x=y=3√4.

Step-by-step explanation:

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Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line c
Rzqust [24]

Answer:

mGH=80^\circ

Step-by-step explanation:

Circle F and J are congruent.

\angle DFE \cong \angle GJH

Given that: m∠DFE = 80°

DFE is the central angle of the circle F.

The measure of arc GH is equal to the central angle of Circle J.

Since both circles are congruent

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3 years ago
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8 0
4 years ago
A car moving at a constant speed travels 88 feet in 2 seconds. Use a proportion to find how many feet it travels in one minute
Yuki888 [10]
88 feet in 2 seconds
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divide both sides by 2
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To check:
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3 years ago
A package is secured with ribbon. Two pieces of ribbon,
lutik1710 [3]

Answer:

A total of 387 centimeters of ribbon are used.

Step-by-step explanation:

We already know that two out of three pieces of ribbon are 1.25 meters.

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That means that the third piece of ribbon is 0.12 meters longer than the first two. The length of the third ribbon is 1.25 m + 0.12 m = 1.37 m

In order to find the total number of meters of ribbon used, we need to do addition.

1.25 m + 1.25 m + 1.37 m = 3.87 m

But, the question is asking us the number of centimeters of ribbon that are used.

1 m = 100 cm

3.87 x 100 = 387 cm

Therefore, a total of 387 centimeters of ribbon are used.

Hope this helps! Have a blessed day! :)

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