1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sedaia [141]
3 years ago
10

Use your knowledge of polynomials to help the company design the box for one of its products.

Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:

(a) The area of the sheet is (9x² - 12x + 4).

(b) The total surface area of the box is x (5x - 4) inches².

Step-by-step explanation:

It is provided that the width and the length of the box are x inches and the height of the box is (x - 1) inches

Then the width of the sheet is:

Width of sheet = (x - 1) + x + (x - 1)

                         = x - 1 + x + x - 1

                         = 3x - 2

(1)

The area of the sheet is:

Area of sheet = (3x - 2)² =

                       = (3x)² - 2 · 3x · 2 + (2)²

                       = 9x² - 12x + 4

Thus, the area of the sheet is (9x² - 12x + 4).

(2)

The central area, i.e. the base of the box = x²

Each arm folded up = x by (x - 1)

Then the areas of the 4 arms = 4 · x · (x - 1) = 4x² - 4x

Then the total surface area is:

Total Surface Area = Central Area + Areas of the 4 arms

                                = (x²) + (4x² - 4x )

                                 = 5x² - 4x

                                = x (5x - 4) inches²

Thus, the total surface area of the box is x (5x - 4) inches².

You might be interested in
What is the height of the tree to the nearest tenth of a foot?
Ugo [173]

Answer:

The height of the tree is approximately 21.4 feet

Step-by-step explanation:

We list out the question parameters first as follows;

The distance from the base of the tree where the angle of elevation is measured, d = 10 feet

The angle of elevation to the top of the tree from 10 feet from the base, θ = 65°

Let 'h' represent the height of the tree, then we have;

The line formed by the angle 65° angle, the height of the tree, 'h', and the distance 'd', form a right triangle with 'h' being the opposite leg to the given reference angle, 65°, and 'd' being the adjacent leg

By trigonometric ratio, we have;

tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = \dfrac{h}{d}

∴ h = d × tan(θ)

Plugging in the given values, we get;

h = 10 feet × tan(65°) = 21 feet 5\frac{11}{32} inches

∴  By rounding to the nearest tenth of a foot, the height of the tree, h ≈ 21.4 feet.

3 0
2 years ago
The graph represents an object that is shot upwards from a tower and then falls to the ground. The independent variable is time
elixir [45]

Answer:

maybe pemdas or choose c lol

3 0
2 years ago
What does 34 12/27-19 5/6=
Lunna [17]
<span>34 12/27-19 5/6
</span>You may get common denominators. 

12*2 = 24
27*2 = 54

5*9=45
6*9 = 54

34 24/54 - 19 45/54 
Subtract 19.
15 24/54 - 45/54 
14 33/54 = Answer.
4 0
2 years ago
Read 2 more answers
Is it possible to draw a triangle with these
trasher [3.6K]

Answer:

Yes

Step-by-step explanation:

We have many triangles and we have Isoceles, equilateral and right angled triangle

And when you look at those measurements we can actually construct a right angled triangle from the above measurements.

Hope its Helpful.

Plz brainliest

6 0
2 years ago
Read 2 more answers
Solve the following:
RideAnS [48]
The answer you are looking for is 1&1/3
6 0
2 years ago
Read 2 more answers
Other questions:
  • When a measurement in inches is converted to centimeters will the number of centimeters be greater or less than the number of in
    10·1 answer
  • What is the order of rotational symmetry for the figure?
    12·1 answer
  • Which relations are functions? Select Function or Not a function for each graph.
    6·2 answers
  • 6+2&lt;5−4 and put the answer in set notation
    8·1 answer
  • PLEASE HELP!
    11·1 answer
  • Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is
    10·1 answer
  • there are 15 tickets in a box each bearing one of the a number from 1 to 15 one ticket is drawn at random from the box find the
    8·1 answer
  • What is the quadratic regression equation that fits these data
    9·1 answer
  • Can someone please help me with this
    14·1 answer
  • What is the correct way to label the entire line segment shown​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!