The mailing tube shown below is 36 inches long, 6 inches wide, and 5.2 inches deep.
The bases are equilateral triangles. How much cardboard is used to make the tube?

Answers

Answer 1

The amount of cardboard = Surface area of a triangular prism = 679.2 in.²

What is the Surface Area of a Triangular Prism?

Surface area of a triangular prism = (perimeter of base × length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)L + bh

The mailing tube is a triangular prism with an equilateral triangular base, and has the following given values:

s1 = 6 in.s2 = 6 in.s3 = 6 in.L = 36 in.b = 6 in.h = 5.2 in.

Plug the values into the surface area formula to find the amount of cardboard that would be used to make the tube:

Amount of cardboard = Surface area of a triangular prism = (6 + 6 + 6)36 + (6)(5.2) = 679.2 in.²

Learn more about surface area of triangular prism on:

https://brainly.com/question/16147227


Related Questions

is 5/10 equivalent to 1/6​

Answers

Answer:

No, its not equivalent

1/2 is equivalent though

Please mark as brainliest

Answer:

No

Step-by-step explanation:

Given the following question:

[tex]\frac{5}{10}[/tex]

You can prove 5/10 isn't equivalent to 1/6 by simply reducing 5/10.

[tex]\frac{5}{10}[/tex]
[tex]\frac{5}{10}\div5=\frac{1}{2}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\frac{1}{2} > \frac{1}{6}[/tex]

5/10 isn't equivalent to 1/6, so your answer is "no."

Hope this helps.

Work out the length of X.
х
8 cm
15 cm

Answers

Using the Pythagorean theorem which states that;

a²+b²=c²

or

side (1) ²+side (2) ²=hypotenuse²

15²+8²=x²

225+64=x²

289=x²

Take the square root of both sides to get;

x=√289=17

x=17

Step-by-step explanation:

[tex] \longmapsto \: hypotenuse(h) = x \\ \longmapsto \: perpendicular(p) = 15cm \\ \longmapsto \: base(b) = 8cm \\ using \: pythagoras \: theorem \\ \hookrightarrow {h}^{2} = {p}^{2} + {b}^{2} \\\hookrightarrow {x}^{2} = ({15cm}^{2} + ({8cm})^{2} \\ x = \sqrt{225 {cm}^{2} + 64 {cm}^{2} } \\ \hookrightarrow \: x = \sqrt{289 {cm}^{2} } \\ \hookrightarrow \: x = 17cm [/tex]

Can you answer this one please

Answers

Answer:

50⁰

Step-by-step explanation:

Since j and k are parallel lines cut by two transversals,

2+3+5=180 (Allied angles)

We are given 2(60⁰) and 5(70⁰)

so,

60⁰+3+70⁰=180⁰

60+70=130

130⁰+3=180⁰

Bring the 130⁰ to the R.H.S

3=180⁰-130⁰

Therefore,

3=50

A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat?

Answers

Step-by-step explanation:

49,442-46,000=3,442

35. Find the perimeter and area of the following figure.
10
3
6
5
(The measures are given in centimeters)

Answers

the perimeter is 24 because 10+3+6+5=24
Hope this helps:)

Graph the solution of this inequality 3/4(x+8)>1/2(2x+10)

Answers

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

Find the linear function given h(4)=-13 h(-2)=17 find h(1)

Answers

Answer:

the linear function: y=-5x + 7

h(1)=2

Solve the inequality and graph its solution.
|n| > 7

Answers

inequality form N N<-7 or N>7

Which value of x makes this equation true?
HELPPP

Answers

a! if x=-2 then both sides equal ten :)

Answer:

x=-2

Step-by-step explanation:

First you remove the parenthesis by distributing.

Second you collect like terms

Third move the terms to where they can be added

Fourth calculate

Fifth divide

Then boom answer (you got helped by an 8th grader)

I’m like really bad at math so can someone please help me pleaseee

Answers

Answer:

The biggest differentiating factor between a function and NOT a function

is that a function gives only one output for any given input. so no matter how many times you use the same value in the function, you will get the same output

A relation which is not a function will have 2 or more outputs for a single input

So if we have more than 1 similar input values in the table and given them different outputs, the relation will NOT be a function

I will take 2 similar inputs "1" and give them different outputs, the rest of the table can be randomly filled

x         y

1         4

3        7

5        9

1         2

Can you please help me?

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

Use the formula.

  [tex]a_2=a_1\times4=2\times4=8\\\\a_3=a_2\times4=8\times4\\\\\boxed{a_3=32}[/tex]

Convert 40 ounces into pounds. Round your answer to the nearest tenth.
Hint. There are 16 ounces in one pound.
A. 2.5 pounds
B. 640 pounds
C. 0.4 pounds

Answers

Answer:

Step-by-step explanation:

helppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

20

Step-by-step explanation:

If you turn it into a rectangle, then you can see one side is 4 squares long, and the other is 5 squares long. 4 x 5= 20

ch rectangle. Then write an equation and solve it.
and width of each rectangle.
- 4
A=64
*-4
loc- 4
*-4

Answers

(x-4)^2=64
x-4=8
x=12
width = 12-4=8

Find f '(x) for f of x equals the square root of the quantity sine of 4 times x

Answers

Answer:

I'm not exactly sure, sorry.

Step-by-step explanation:

[tex]\sqrt{x} sin(4)*x[/tex]

square root of sin(4) times x

The goal of this equation is to find an x value that will make both sides equal.

I probably shouldn't answer this question since I can't really find a solution to it, but I don't really think its solvable.

Solve |y + 2| > 6

thanks

Answers

Answer:

[tex]\huge\boxed{y>4\ \vee\ y<-8}\\\boxed{y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)}[/tex]

Step-by-step explanation:

[tex]|y+2|>6\iff y+2>6\ \vee\ y+2<-6\qquad|\text{subtract 2 from both sides}\\\\y+2-2>6-2\ \vee\ y+2-2<-6-2\\\\y>4\ \vee\ y<-8\Rightarrow y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)[/tex]

The Cedarburg High School softball coach is purchasing equipment for her team. She has a
budget of at most $590 to purchase bats and softballs. A case of softballs has a price of $42,
and a bat has a price of $15.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x= the number of cases of softballs
y = the number of bats
42x + 15y > 590
42x + 15y < 590
42x + 15y 3 590
42x + 15y 590

Answers

Answer:

B.42x + 15y < 590

Step-by-step explanation:

Pavit has a clock with a minute hand that extends to the clock's edge. The minute hand is 5.25 inches long. What is the circumference of the clock?

Answers

Answer:

10.5[tex]\pi[/tex] Inches

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex]5.25

C=10.5[tex]\pi[/tex]

Staples sells boxes of pens ($25) and rubber bands ($5). Leona ordered a total of 20 cartons for $360. How many boxes of each did
Leona order? Hint. Let P= Pens.

Answers

Answer:

Step-by-step explanation:

I dont fully know if i am correct but i think its this:

p + r = 22

9p + 6r = 180

p = 22 - r

9(22 - r) + 6r = 180

198 - 9r + 6r = 180

-3r = -18

r = 6

p = 22 - 6

p = 16

Fatih parasının ilk %30unu sonra %35ini harcar ve geriye 105 TL’si kalır. Fatih’in toplamda kaç TL’si vardır?

Answers

Answer:

is good by his guan yes is help to me

does anyone know this ​

Answers

Answer:

x ≤ 9

Step-by-step explanation:

Step 1: Write inequality

x - 9 ≤ 2(9 - x)

Step 2: Solve for x

Distribute 2: x - 9 ≤ 18 - 2xAdd 2x on both sides: 3x - 9 ≤ 18Add 9 to both sides: 3x ≤ 27Divide both sides by 3: x ≤ 9

Here we see that any solution less than or equal to 9 would work.

Answer:

x ≤ 9

Step-by-step explanation:

x -9 ≤ 2(9 -x)    

x -9 ≤ 18 -2x

+2x         +2x

3x -9 ≤ 18

    +9    +9

3x  ≤ 27

[tex]\frac{3x}{3}[/tex] ≤ [tex]\frac{27}{3}[/tex]

x  ≤ 9

What is the area, in square centimeters, of the shape below? Express your answer as a fraction in simplest form.

Answers

Answer: (2/5) x (3/2) x .5 = 3/10 or .3

Step-by-step explanation: Area of a triangle is (1/2)bh . You substitute your answers and simplify.

3.Paul owes his father $56.78. He borrows $20 more from his father. Write an expression to represent his debt. Helpp plzzz asap

Answers

$76.78 is paul’s debt to father

V
Graph the line y= -7.

Answers

Answer:

There is no slope, so we draw a line parallel to the x-axis and the width of the origin is equal to -7

For what value of x must ABCD be a​ parallelogram?

Answers

Answer:

7

Step-by-step explanation:
add 7 to 3x

Then: 4x-3x=1x which gives:

1x=7

7/1=7

(-9.206) x(14.04)=
in a decimal

Answers

Answer:

=−129.25224x

Step-by-step explanation:

(−9.206x)(14.04)  you just simplify

(-9.206) x (14.04) =

Answer: -129.25224

At Jack’s ice cream shop, a customer receives a free ice cream cone for every 5 ice cream cones the customer purchases. Which of the following represents the ratio of the number of ice cream cones a customer purchases to the total number of ice cream cones the customer purchases and receives for free?

Answers

Answer:

5:1

The question states that for every 5 ice cream cones a customer purchases that they will get one free ice cream cone.

Example:
This means if a customer purchased 25 ice cream cones then they would get 5 free ice cream cones.



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

=> 0:2

step by step :

divide the first number by the second number and multiply the result by 100 (if necessary)

> first term is 1

> second term is 2

solution :

1 ÷ 5 = 1/2 (2dp) which is =0,2

final solution:

=0:2

For what value of X must ABCD be a parallelogram?

Answers

Answer:

x = 9

Step-by-step explanation:

If ABCD is a parallelogram, then 6x = 7x - 9

as the point of intersection of the 2 diagonals is the midpoint of AC

6x = 7x - 9

Subtract 6x from both sides:

⇒ 0 = x - 9

Add 9 to both sides:

⇒ 9 = x

Solution:

We know that:

[tex]\frac{AC}{2} = 6x[/tex]

This means that:

[tex]AC = (6x)(2) = 12x[/tex][tex]AC = 12x = 6x + 7x - 9[/tex]

Step-by step calculations:

Simplify the RHS:

[tex]12x = 6x + 7x - 9[/tex]=> [tex]12x = 13x - 9[/tex]

Subtract 13x both sides:

=> [tex]-13x + 12x = 13x -13x - 9[/tex]=> [tex]-x = -9[/tex]

Divide -1 both sides:

=> [tex]-x = -9[/tex]=> [tex]\frac{-x}{-1} = \frac{-9}{-1}[/tex]=> [tex]x = 9[/tex]

Write the ratio: 0.28 to 0.84 as a fraction in lowest terms.

Answers

0.28 = 7/25
0.84 = 21/25

Hope this is the answer you were looking for.

The grid represents all of the following decimal numbers except

0.300
0.3
0.30
0.030

Answers

Answer:

0.030

Step-by-step explanation:

0.030 is 3/100

what is show above is 3/10 and 0.300, 0.3, 0.30 are all equal to 3/10

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