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dusya [7]
3 years ago
8

PLZ HELP ME!! BRAINLIEST

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0
66.6 is the answer for this onel
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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
Question and choices Are below
Vika [28.1K]

Answer:

9ft

Step-by-step explanation:

Use the pythagorean theorem.

15^2 = 12^2 + x^2

solve for x

x^2 = 81

x = 9

7 0
2 years ago
How to find the perimeter of a right triangle
QveST [7]

Answer:

There are three primary methods used to find the perimeter of a right triangle.

1. When side lengths are given, add them together.

2. Solve for a missing side using the Pythagorean theorem.

3. If we know side-angle-side information, solve for the missing side using the Law of Cosines.

Step-by-step explanation:

there i hope this helps!!!

6 0
3 years ago
Which of these prices is lower than 5 for $3.00
Serga [27]

Where's the options?

7 0
3 years ago
What are the zeros of the polynomial function f(x)=x^3-2x^2-8x?
Rashid [163]

Answer: -2, 0, 4

Set the equation equal to zero.

x³ - 2x² - 8x = 0

Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.

x(x² - 2x - 8) = 0

Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!

x(x - 4)(x + 2) = 0

Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).

  • x = 0
  • (x - 4) = 0

        x = 4

  • (x + 2) = 0  

        x = -2

The zeros of the polynomial function are -2, 0, and 4.

3 0
3 years ago
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