A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the value for , and round up your answer to the next square meter.

A Company Manufactures Aluminum Mailboxes In The Shape Of A Box With A Half-cylinder Top. The Company

Answers

Answer 1

9514 1404 393

Answer:

  3433 m^2

Step-by-step explanation:

The total surface area is the sum of the end areas and the lateral area.

The end areas together are a circle of diameter 0.4 m and two rectangles that are 0.4 m by 0.55 m.

  End areas = πr^2 + 2LW = 3.14(0.2 m)^2 + 2(0.4 m)(0.55 m)

  = 0.1256 m^2 +0.44 m^2 = 0.5656 m^2

The perimeter of the end piece is half the circumference of a 0.4 m circle and three sides of a 0.4 m by 0.55 m rectangle.

  P = (1/2)πd + 2L +W = 1/2·3.14·0.4 m + 2(0.55 m) + 0.4 m = 2.128 m

The lateral area of the mailbox is the product of its length and the perimeter of the end piece:

  LA = PL = (2.128 m)(0.6 m) = 1.2768 m^2

Then the total surface area of the mailbox is ...

  0.5656 m^2 + 1.2768 m^2 = 1.8424 m^2

__

The area of aluminum required for 1863 mailboxes is ...

  1863 × 1.8424 m^2 ≈ 3433 m^2

About 3433 square meters of aluminum are needed to make these mailboxes.


Related Questions

One of the two answers is wrong please help guys

Answers

Answer:

The first answer is right (18).  Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.

Step-by-step explanation:

Need help urgently difficult but simple math equation if you get it right ill give you brainliest.​

Answers

Answer:

No.

Step-by-step explanation:

Explanation below.

Translate (5. – 5) down 3 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?

Answers

Answer:

(5, 8)

Step-by-step explanation:

(5. – 5) down 3 units => (5, -8)

reflect x-axis => (5 , 8)

In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Answers

Answer:

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Step-by-step explanation:

Given

[tex]Zeros: -5,-2,2[/tex]

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

[tex]f(x) = (x - a)(x - b)(x - c)[/tex]

So, we have:

[tex]Zeros: -5,-2,2[/tex]

[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]

Open the inner brackets

[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]

Expand the difference of two squares

[tex]f(x) = (x +5)(x^2 - 4)[/tex]

Expand

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

What is the answer?

Answers

Answer:

x^2(x-5)

Step-by-step explanation:

f(x)=x-5

g(x)=x^2

g(f(x)=?

x^2(f(x)=?

x^2(x-5)

If this helps please mark as brainliest

9514 1404 393

Answer:

  D.  (x -5)²

Step-by-step explanation:

Replace the variable with the function argument.

  G(F(x)) = G(x -5) = (x -5)² . . . . . matches choice D

WILL


GIVE BRAINLIST FOR MATH



....

Answers

9 am.

When the line on the graph is at the lowest for x value it is the lowest temperature.

solve for y: -4y + 5 > -15​

Answers

Step-by-step explanation:

-4y+5>-15

-4y>-15-5

-4y>-20

divide both (-)

4y>20

divide through by 4

y>20/4

y>5

Find the measure of the indicated angle.

pls help !!

Answers

Answer:

5. m<A = 25.3°; m<B = 64.7°

6. m<A = 40.2°; m<B = 49.8°

Step-by-step explanation:

Recall: SOHCAHTOA

5. Reference angle = <A

Opposite = 9

Adjacent = 19

Apply TOA:

Tan A = Opp/Adj

Tan A = 9/19

A = Tan^{-1}(9/19)

A = 25.3461759° ≈ 25.3° (nearest tenth)

Reference angle = <B

Opposite = 19

Adjacent = 9

Apply TOA:

Tan B = Opp/Adj

Tan B = 19/9

B = Tan^{-1}(19/9)

B = 64.6538241° ≈ 64.7° (nearest tenth)

6. Reference angle = A

Opposite = 20

Hypotenuse = 31

Apply SOH:

Sin A = Opp/Hyp

Sin A = 20/31

A = sin^{-1}(20/31)

A = 40.2° (nearest tenth)

Reference angle = B

Adjacent = 20

Hypotenuse = 31

Apply CAH:

Cos B = Adj/Hyp

Cos B = 20/31

B = cos^{-1}(20/31)

B = 49.8° (nearest tenth)

PLEASE HELP!! Click the picture

Answers

Answer:

If y - 4 = 5 then:

y = 5 + 4

y = 9

The average credit card debt for a recent year was $8,776. Five years earlier the average credit card debt was $8,189. Assume sample sizes of 32 were used and the population standard deviations of both samples were $690. Is there evidence to cónclude that the average credit card debt has increased? Use a- 0.05
a. State the hypotheses
b. Find the critical value.
c. Compute the test statistic
d. Make the decision.
e. Summarize the results

Answers

Answer:

We reject H₀.  We support that the new average credit card debt is bigger than the previous average

Step-by-step explanation:

Five years earlier

μ   = 8189

σ  =  690

Sample size   n  = 32

Recent year debt

x  =  8776

Sample size   n  = 32

a) Hypothesis Test:

Null Hypothesis                        H₀            x  =  μ   = 8189

Alternative Hypothesis           Hₐ             x >  μ

b) z(c)  Alternative Hypothesis establishes that the test is a one tail-test to the right.

z(c)   for significance level  α = 0.05    is  from z-table      z(c) = 1,64

c) z(s)  =  (  x  -   μ ) / σ /√n

z(s)  =  ( 8776  - 8189 ) / 690 /√32

z(s)  =  587 *5,66/ 690

z(s) = 4,81

d) Comparing   z(c)    and z(s)

z(s)  >  z(c)   Then z(c) is in the rejection region and we reject H₀

e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average

F(x) =X+4
g(x) = 3x² -7
Find (f-g) (x)

Algebra 2 sem 1

Answers

Answer:

[tex]B. ~(f+g)(x)=6x^3+4x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2+4x-5[/tex]

[tex]g(x)=6x^3-2x^2+3[/tex]

[tex]Find~(f+g)(x)[/tex]

[tex]=2x^2+4x-5+6x^3[/tex]

[tex]-2x^2+3[/tex]

[tex](f+g)(x)=6x^3+4x-2[/tex]

--------------------------------

hope it helps....

have a great day!!

1 Mrs. Thiel has 178 papers to grade.
She graded 49 papers this morning
and 56 paper this afternoon. How many
papers does Mrs. Thiel have to grade
this evening?

Answers

Answer:

73 Papers

Step-by-step explanation:

Let's start by finding out how many papers Mrs. Thiel has already graded.

56 + 49 = 105

Now, let's subtract how many papers she has already graded from how many she has to grade in total.

178 - 105 = 73

So, Mrs. Thiel has to grade 73 papers this evening.

73 Papers is the answer

the rectangle shown has an area of 105 square inches. the width is x+ 16 inches and the length is x. find the dimensions of the rectangle

Answers

Answer:

Length = 5

Width = 21

Step-by-step explanation:

(x)(x + 16) = 105

x^2 + 16x = 105

x^2 + 16x - 105 = 0

(x - 5) x ( x + 21) = 0

x - 10 = 0

x = 5

x + 21 = 0

x = -21

Now that we have the zeroes.

We have to find the most viable one to put in.

Using -21 would not make sense, so we will use 5.

Plug it in:

x = 5

(5) (5 + 16) = 105

5 ( 21) = 105

Solve the inequality. Graph the solution

Answers

Answer: y>-2 (The symbol has a underline)

Step-by-step explanation:

Since you want to move -4 to the -6 spot, do the opposite of the negative which is positive. So add +4 to each side. And the -4 will disappear and you will be left with y>-6+4. Solve -6+4= -2 And so the answer is y>-2.

Hope this helps

Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

Answers

Answer:

0

Step-by-step explanation:

Coolin

Simplify 3x^(1/2)*5x^(2/5)

Answers

Answer:

= 15x^9/10

Step-by-step explanation:

Multiply the numbers: 3 . 5 = 15

= 15x^1/2x2/5

Apply exponent rule: a^b . A^c = a^b + c

= 15x^1/2+2/5

1/2 + 2/5 = 9/10

= 15x^9/10

What is the area of the regular trapezoid below?
- 6 cm
T
8 cm
10 cm

Answers

Answer:

Area = 64 cm²

Step-by-step explanation:

To find the area, we have to follow some steps:

=> Step 1: Make the bases similar:

Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:

(6 + 10) / 2

(16) / 2

8

So now that we know our base,

=> Our second step is to multiply the base we found by the height of the trapezoid:

Area = common base * height

Area = 8 * 8

Area = 64 cm²

Hope this helps!

A common marketing strategy used by retailers to make products appear more attractive, while customers really pay the same price, is to list a
$200 item for (5 points)

a)$10 per month for 2 months

b)$10 per week for 200 weeks

c)$20 per week for 10 weeks


d)$20 per month for 1 month

Answers

$20 per month for 1 month

Answer:

$20 per week for 10 weeks

Step-by-step explanation:

It's the only one that even mathematically makes sense, and this tactic is also used to make it look better than $200 upfront

m and p are complementary angles m/M = 56, and m/P = 2x + 4. Write and solve an equation to find the value of x.

Answers

This equilibrium of the brain cells can transfer deeply throughout earth core

Let a and b be real numbers were a≠ b ≠ 0. Which of the following functions could represent the graph below?

Answers

Answer:

A

Step-by-step explanation:

where the graph

WHERE THE GRAPH???

two congruent squares are shown in figures 1 and 2 below

Answers

Answer:

Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2

Answer:

The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.

Step-by-step explanation:

I'm right and if you think I'm wrong then you're wrong

A recipe for oatmeal raisin cookies requires 2 eggs for every dozen cookies . Which equation shows the relationship between eggs ( e ) and dozen cookies ( c ) ?

Answers

Answer:

2e = c

Step-by-step explanation:

Let :

Egg = e

Cookies = c

2 eggs for every 1 dozen of cookies

This gives the Mathematical expression :

2 eggs = 1 c

2e = c

Identify the parts of a sphere,
a is the
bis the
c is the center
d is the radius
diameter
great circle
HELP 50points

Answers

Answer:

Hello, it appears you did not provide an image that was supposed to be included in order to help answer your question, so I'm afraid I cannot assist you without seeing it. If you supply the necessary photo, I would be more than happy to help you.

Rewrite 4 < n, so that the variable is on the left side

Answers

Answer:

n > 4 I think is the answer, I'm not 100% sure

Answer:

n<1/4

Step-by-step explanation:

4<n Sub n on both sides

4n<0 Divide by 4 on both sides

n<1/4

A pitcher contains 2 liters of liquid. Jin pours 368 milliliters of this liquid into a test tube.


How much liquid is left in the pitcher?


Enter your answer in the box.

Answers

Answer:

1,632 liters of liquid remain in the pitcher.

Step-by-step explanation:

Given that a pitcher contains 2 liters of liquid, and Jin pours 368 milliliters of this liquid into a test tube, to determine how much liquid is left in the pitcher the following calculation must be performed:

368 milliliters = 0.368 liters

2 - 0.368 = X

1.632 = X

Therefore, 1,632 liters of liquid remain in the pitcher.

Question 3 of 10
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.

Answers

Answer:

Step-by-step explanation:

SEVEN






"I think of a number, take away 1 and multiply the result by 3."​

Answers

Answer:

I got 6.

Step-by-step explanation:

I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.

I thinks it 6
I took it before I got a good grade on it it was a 6 for me

Use OZ with VW – XY
What is XY ?

A 30
B. 35
C. 40
D 50

Answers

Answer:

40

Step-by-step explanation:

From the diagram;

VW = 2(20)

VW = 40

Simce VW is similar to XY, hence VW = XY = 40

Hence the length of XY is 40

In each of the​ following, find all real numbers x that satisfy the given equation. If none satisfy the​ equation, then state the answer as​ "None."

(25/4)^3x = 32/3125​

Answers

Answer:

The solution is [tex]x = -\frac{5}{6}[/tex]

Step-by-step explanation:

We solve this question using exponential properties.

We have that:

[tex](\frac{25}{4})^{3x} = \frac{32}{3125}[/tex]

Simplifying:

[tex](\frac{5^2}{2^2})^{3x} = \frac{2^5}{5^5}[/tex]

[tex]([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}[/tex]

[tex](\frac{5}{2})^{6x} = (\frac{2}{5})^{5}[/tex]

Changing the numerator and denominator in the right side:

[tex](\frac{5}{2})^{6x} = (\frac{5}{2})^{-5}[/tex]

Since both bases are equal:

[tex]6x = -5[/tex]

[tex]x = -\frac{5}{6}[/tex]

The solution is [tex]x = -\frac{5}{6}[/tex]

Question 6
What is the missing value of the following synthetic division?

Answers

Answer:

Hello!

16

Step-by-step explanation:

Because

-5+16=11

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