A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the box.The box has a width of 5 feet a length of 6 feet and a height of 8 feet. How long will the diagonal support need to be

Answers

Answer 1

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]x^{2}[/tex] = [tex]6^{2}[/tex] + [tex]5^{2}[/tex]

[tex]x^{2}[/tex] = 36 + 25

   = 61

x = [tex]\sqrt{61}[/tex]

  = 7.81

let the length of the diagonal support be represented by l. So that;

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]l^{2}[/tex] = [tex]x^{2}[/tex] + [tex]8^{2}[/tex]

  = [tex]\sqrt{61}[/tex] + 64

l  = [tex]\sqrt{\sqrt{61} + 64 }[/tex]

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.


Related Questions

HELP ASAP GIVING BRAINLIEST

Which equation can be used to solve for x in the diagram?


A: 3x + 30 + 90=180

B: 3x=30

C: 3x + 30=90

D: 90=3x-30

Answers

Answer:

I think it would be 3x=30

Step-by-step explanation:

I think this because 3x is vertical to 30 which would mean that it is equal to 30.

Is this true or false?

Answers

Answer:

False

Step-by-step explanation:

Greg currently has 30 and receives a new one every 4 months. As a competition, Mark wants to start collecting ties as well. He buys a tie every month until he has the same amount as Greg. How many months until Mark has the same amount? How many ties are there? Hint: use one variable for “# of months” and one for “# of ties”.

Answers

9514 1404 393

Answer:

  40 months

Step-by-step explanation:

Let t represent the number of months. Then Greg's tie count (g) will be ...

  g = 30 + t/4 . . . . . . average rate of tie accumulation is 1/4 tie per month

And Mark's time count (m) will be ...

  m = t . . . . . . . . . . . . average rate of tie accumulation is 1 per month

We want these numbers (g, m) to be equal:

  g = m

  30 +t/4 = t . . . . . substitute the equivalent expressions

  30 = 3/4t . . . . . . subtract t/4

  40 = t . . . . . . . . . multiply by 4/3

After 40 months, Mark and Greg will have the same amount of ties.

What’s the answer?
12-3y=30x+6

Answers

Answer:

The answer is y=−10x+2

Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel, how many buses does the transit system have?

Answers

Answer:

2214 buses

Step-by-step explanation:

Answer:

there are 1479 bus running in diesel and there are 2214 buses

Zoe owns a food truck that sells tacos and burritos. She only has enough supplies to
make 113 tacos or burritos. She sells each taco for $3 and each burrito for $6. Zoe
must sell at least $510 worth of tacos and burritos each day. If 53 tacos were sold,
determine all possible values for the number of burritos that Zoe must sell in order to
meet the requirements. Your answer should be a comma separated list of values. If
there are no possible solutions, submit an empty answer.

Answers

Answer:

58.5

Step-by-step explanation:

If you take 53 times 3 = 159

take 510 - 159 = 351

then take 351 divided by 6 = you get 58.5

i dont need the work, just the answers

Answers

Answer:

64°

Step-by-step explanation:

There are vertically opposite angles and thus are equal.

Meal A has 170 calories in 3 servings. Meal B has 160 calories
in 4 servings. Which meal has more calories per serving?

Answers

Meal A had mor calories

How do you solve linear equations with substitutions?

Answers

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

Solve the following system by substitution.

2x – 3y = –2

4x +   y = 24

The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.

For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:

4x + y = 24

y = –4x + 24

Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:

2x – 3(–4x + 24) = –2

2x + 12x – 72 = –2

14x = 70

x = 5

answer this please.

Answers

Answer:

2. absolute value of p - q

Explanation:

Because when you calculate distance, you always use absolute value.

Can I get a thx and brainliest?

2. |p-q|
when you calculate the distance you use the absolute value

Which of the following is the last step in problem solving? A. Understand the problem. B. Check your answers and present the solution. O C. Gather your resources. O D. Come to an answer.​

Answers

B - check your answers and present the solution

Terrance and Teresa both work for a book store. Terrance earns $450 per week. Teresa earns $300 per week plus a 6% commission on the total sales of books she sells. In one week, if Teresa sells $2000 worth of books, who will make more money and by how much?

Answers

Answer:

Terrence will make 30 more dollars than Teresa :-)

Step-by-step explanation:

gl! <33

Solve this diamond problem to be awarded as brainliest

Answers

Answer: -5 and 2
Because it equals 3 when added.
And -10 when multiplied.

Can someone help me with this?

Answers

Answer: -4F and 3

Explanation: combine -F and -3F makes -4F and 14 - 11 = 3
-4f+3


-f + (-3f)= -4f
14-11= 3
Therefore, -4f+3

2. The angle measures of a triangle are shown in the diagram.

What is the value of X

Answers

Answer: The angles inside a triangle are called interior angles. ... The three interior angles in a triangle will always add up to 180°. At each corner the exterior and interior angles are on a straight line, so at each corner these two angles add up to 180°.

Step-by-step explanation:

Sal proves that the angles of an equilateral triangle are all congruent (and therefore they all measure 60°), and conversely, that triangles with all congruent angles are equilateral.

1. Si las notas de Esteban en una asignatura son: 3, 4, 6, 3, 5, 5, 6, 3, 4 y de estas notas se cambia un 6 por un 7, ¿cuál(es) de las siguientes medidas de tendencia central cambia(n)? I. La moda. II. La mediana. III. La media aritmética (promedio).

Answers

Responder:

Media

Explicación paso a paso:

Primero debemos saber que cambiar el valor de 6 a 7 no puede cambiar la mediana y la moda de los datos, ya que la moda es el valor que más ocurre, que es 3, mientras que la mediana es el valor tq en el medio después del reordenamiento.

La única medida de tendencia que cambiará es la media (datos promedio)

Vamos a revisar

Encuentra la media de dos datos originales

Media = 3, + 4, + 6 + 3, + 5 + 5 + 6 + 3 + 4/9

Tamaño de muestra = 9

Media = 39/9

Media = 4,33

Si uno de los 6 se reemplaza por 7, la media se convierte en

Media = 3, + 4, + 6 + 3, + 5 + 5 + 7 + 3 + 4/9

Tamaño de muestra = 9

Media = 40/9

Media = 4,44

Podemos ver que cambió el valor medio. Por tanto, la respuesta correcta es la media.

Teniendo en cuenta la definición de media, mediana y moda, la media aritmética es la única medida de tendencia central que cambia.

Media aritmética

La media (también llamada promedio o media aritmética) de un conjunto de datos es una medida de posición central cuyo valor se obtiene al dividir la suma de todos los números entre la cantidad de ellos. Entonces, en este caso, el promedio de las notas obtenidas por Esteban se calcula como:

[tex]media=\frac{3+4+6+3+5+5+6+3+4}{9}[/tex]

Resolviendo:

media= 4,33

La media aritmética de las notas de Esteban es 4,33.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

Entonces, la media aritmética de las notas obtenidas por Esteban se calcula como:

[tex]media=\frac{3+4+7+3+5+5+6+3+4}{9}[/tex]

Resolviendo:

media= 4,44

La media aritmética de las notas de Esteban si se cambia un 6 por un 7 es 4,44. Por lo que la media aritmética (promedio) cambia.

Moda

Por otro lado, la moda de un conjunto de números es el número que aparece más a menudo dentro del grupo de datos.

En este caso, podes observar que la cantidad de veces que aparece cada número es:

3: 3 veces

4: 2 veces

5: 2 veces

6: 2 veces

Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

a cantidad de veces que aparece cada número es:

3: 3 veces

4: 2 veces

5: 2 veces

6: 1 vez

7: 1 vez

Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.

Entonces, podes observar que la moda es 3 y no varia si de las notas se cambia un 6 por un 7.

Mediana

Por último, la mediana es valor que se encuentra en la mitad justa entre los valores máximo y mínimo de los datos con los que se está trabajando; es decir, que al ordenar los número de menor a mayor, éste se encuentra justamente en medio de los valores.

En este caso, ordenando de menor a mayor las notas de Esteban:

3,3,3,4,4,5,5,6,6

Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

En este caso, ordenando de menor a mayor las notas de Esteban:

3,3,3,4,4,5,5,6,7

Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4. Por lo que la mediana no varia si de las notas se cambia un 6 por un 7.

En resumen

En resumen, la media aritmética es la única medida de tendencia central que cambia.

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someone help 9th grade math i will give brainliest

Answers

Answer:

I think it may be H. but let me know if i am wrong. if i am right plz mark brainliest

Step-by-step explanation:

27 divided by 3 is 9, 27/3=9 because 27/3 is the same exact thing as 27 divided by 3. So the answer has to be 9

Enter the equation of the line in slope-intercept form.
The line parallel to y = −x that passes through (7, 2.5).

The equation of the line that passes through (7, 2.5) is y = .
2. Enter the equation of the line in slope-intercept form.

The line parallel to y =
7
4
x + 4 that passes through (−8, 0).

The equation of the line that passes through (−8, 0) is y = .

Answers

Answer:

y = -x + 9.5

this is the answer to the line parallel to y=-x that passes through (7, 2.5)

Hun Lee is skateboarding and using energy at a rate of 400 kilocalories per hour. At what rate is Hun Lee using energy in minutes per calorie?

Answers

Answer:6.66666 kilocalories  per hour

Step-by-step explanation:

8. How many 1/3 pound hamburger patties can be made out of 9 pounds
of ground beef?
Your answer

Answers

Answer:

27 or im dumb

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

each pound can make 3 burgers, so 3 x 9 is 27

help me please???????​

Answers

Answer:

Drag -1.6  in between -1.5 and -2 on the left/ negative side of the number line.

What is the solution to the inequality?
12 < 8 + x
A. x>4
B. x > 20
C. x < 4
D. x< 20

Answers

Correct answer : A
Explanation :
-x<8-12
Change the signs : -x<-4
Answer : x>4
X € ( 4 , + ∞ )

Which object is moving faster based in the graphs presented?

Answers

Answer:

A

Step-by-step explanation:

On the graph is shows a increase distance faster than B, when a is at 10 seconds its at 20 meters, and b is at 10 seconds its only at 10 meters, Its A is double the speed of B

In ΔNOP, p = 85 inches, ∠O=57° and ∠P=113°. Find the length of o, to the nearest 10th of an inch.

Answers

Answer:

77.4

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

Delta math :)

idk anything about exponent rules can someone help me with this ?

Answers

The answer will have to be 1/x^3 because (x^-13)*(x^4)*(x^6) is simplified to x^10/x^13 which is also simplified to 1/x^3

Which describes the difference between the two sequences?

First Sequence: One-fourth, one-half, 1, 2, ellipsis

Second Sequence: One-half, 2, 8, 32, ellipsis
The first sequence is geometric because there is a common ratio of 2
The second sequence is geometric because there is a common ratio of 4.
The first sequence is geometric because there is a common ratio of 4
The second sequence is geometric because there is a common ratio of 2.
The first sequence is arithmetic because there is a common ratio of 2
The second sequence is arithmetic because there is a common ratio of 4.
The first sequence is geometric because there is a common difference of 2
The second sequence is geometric because there is a common difference of 4.

Answers

Answer:

The first option

Step-by-step explanation:

Got it right :)

you plan to open a lemonade stand near where you live. The cost to buy the wood is $60 and the cost to make the lemonade is $3 per cup. You plan to sell each cup pf lemonade for $5. Let x be the number of cups of lemonade sold. Write a function P(x) that represents the total profit you earned from selling x cups of lemonade

Answers

Answer:

P(x)=2x-60

Step-by-step explanation:

From the information provided, the function P(x) would indicate that the total profit you earned from selling x cups of lemonade is equal to the result of multiplying the price per cup for the number of cups minus the total cost. This cost is the result of adding up the cost of buying wood plus the cost per cup for the number of cups:

P(x)=5x-(60+3x)

P(x)=5x-60-3x

P(x)=2x-60

According to this, the function is: P(x)=2x-60.

whats 8-4 I would like to know

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

(○’ω’○)  ↖(^ω^)↗   囧

What percent represents the part of the model shaded yellow?

A)
33.3%

B)
35%

C)
40%

D)
42.5%


Answers

Answer:

a.)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There are five bars in total, and yellow takes up two bars.

Hence, the fraction is 2/5.

2/5 = 40%.

Hope this helped!

What unit is used to measure angles?

Answers

Answer:

Degrees.

The symbol looks like this.

°

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