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Rzqust [24]
3 years ago
5

Does anyone know geometry?

Mathematics
2 answers:
Naily [24]3 years ago
8 0

Answer:

286m²

Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Semmy [17]3 years ago
3 0

Answer:

<h2><u><em>286m²</em></u></h2>

Step-by-step explanation:

<em><u>IDK</u></em>

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If f(x)= 5x, what is f^-1(x)?
Helen [10]

Step-by-step explanation:

f( x) {}^{ - 1}  \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y =  \frac{x}{5}  \\ f(x) {}^{ - 1}  =  \frac{x}{5}

8 0
2 years ago
[10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimens
MissTica

Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

_____

Let x and h represent the base edge length and box height, respectively. Then we have ...

  x² +4xh = 108 . . . . box surface area

Solving for height, we get ...

  h = (108 -x²)/(4x) = 27/x -x/4

The volume is the product of base area and height, so is ...

  V = x²h = x²(27/x -x/4) = 27x -x³/4

We want to maximize the volume, so we want to set its derivative to zero.

  dV/dx = 0 = 27 -(3/4)x²

  x² = (4/3)(27) = 36

  x = 6

  h = 108/x² = 3

The box is 6 inches square and 3 inches high.

_____

<em>Comment on maximum volume, minimum area</em>

In the general case of<em> an open-top box</em>, the volume is maximized when the cost of the bottom and the cost of each pair of opposite sides is the same. Here, the "cost" is simply the area, so the area of the bottom is 1/3 the total area, 36 in².

If the box has a <em>closed top</em>, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

7 0
3 years ago
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh
Simora [160]

Answer:

wgtvwthrr

Step-by-step explanation:

3 0
3 years ago
Classify the expression as a monomial, a binomial, a trinomial, or not a polynomial. 2b^3 − 8s^4 + 6z
Nadusha1986 [10]

Answer:

Trinomial

Step-by-step explanation:

Because it is broken up in three terms and trinomial means three terms

4 0
3 years ago
The surface area of a rectangular prism is 208 cm2. Two of the dimensions are 2cm and 10cm. Find the measure of the other dimens
aliina [53]

Answer:

7 cm

Step-by-step explanation:

SA = 208 cm^2

SA= 2*a*b + 2*a*c + 2*b*c

where:

a= first dimension = 2 cm

b= second dimension = 10 cm

c= third dimension

so we have:

208= 2*2*10 + 2*2*c + 2*10*c

208= 40 + 4c + 20c

208-40= 24c

168=24c

c =168/24

c = 7cm = third dimension

3 0
3 years ago
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