A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area is 439.2. The height of the base triangle is 6.9 and each side is 8. What is the height of the box?

Answers

Answer 1

Answer:

h = 16 unit

Step-by-step explanation:

The formular for the surface area of a triangular prism is given as,

A = ab+3bh............................ Equation 1

Where A = surface area of the triangular prism, a = height of the base triangle, b = base of the triangle, h = height of the box.

make h the subject of the equation

h = (A-ab)/3b........................ Equation 2

Given: A = 439.2, a = 6.9, b = 8

Substitute into equation 2

h = [439.2-(6.9*8)]/(3*8)

h = (439.2-55.2)/24

h = 16.

Hence the height of the box is 16 unit


Related Questions

PLEASE HELPPP
which of these choices are equivalent to the quotient below check all that apply square root of 100 over the square root of 20

Answers

Answer:

A

Step-by-step explanation:

Cynthia besch wants to buy a rug for a room that is 18ft wide and 35ft long she wants to leave a uniform strip of floor around rug she can afford to buy 528 ft of carpeting what dimensions should rug have

Answers

Answer:

rug long = 34 ft

rug wide = 17 ft

Step-by-step explanation:

given data

wide = 18 ft

long = 35 ft

area of carpet  = 528 ft

solution

we get here area of floor that is

and we consider length of carpet = 35 - 2x

and width = 18 - 2x

(35 - 2x) × (18 - 2x) = 528      ...................1

solve it we get

x = 25.5 and x = 1

we choose 1 ft. as the width of the strip

so rug long = 35 - 1  = 34 ft

and rug wide = 18 - 1 = 17 ft

3x²(4x3 – 5x + 10)
??

Answers

Answer:

7/5  to the frst power

Step-by-step explanation:

tuyv iiiiiiiinnnnn

I have 8 more questions to ask after this I really would use help rn ty

Answers

It’s a complementary angle because it sum up to 90 degrees

Answer: complementary

Step-by-step explanation:

Wich equation represents the relationship between x and p?

Answers

It’s A because (x) the number of cake equal 12 in price

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Area = 7.853981 in^2                (2.5 Pi)

Perimeter = 11.42478 in              (3.63Pi)

Step-by-step explanation:

Area

Lg semi circle area = Pi(2^2)(0.5) = 3.141593(4)0.5) = 6.283185 in^2

Sm semi circle area = Pi(1^2)(0.5) = 3.141593(2)(0.5) = 1.570796 in^2

added together = 7.853981 in^2

Perimeter

Lg semi circle perimeter = Pi(4)(0.5) + 2 = 8.283185 in

Sm semi circle perimeter = Pi(2)(0.5) = 3.141593 in

added together = 11.42478 in

if you get 0=0 is that no solution or IMS

Answers

looks like that would be ims

0=0 means that you will have an infinite number of solutions, so IMS

I need help with:

if I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x.

write the following algebraically, using x as your unknown

"I think of a number, add 3 to it and multiply the result by 7."​

Answers

Answer:

7(x+3) or 7x+21

Step-by-step explanation:

What is the Pythagorean Theorem. Please explain.

Answers

a2 + b2 + c2 its used in equations
Pythagorean Theorem is used to find the missing dimension of a side of any right triangle. This theorem does not work with any other triangles other than right triangles which have a perpendicular angle of 90°. The photo I have attached shows the formula for Pythagorean Theorem. c squared is the hypotenuse and you can switch around a and b to be any of the remaining sides other than the hypotenuse. The hypotenuse is the longest side of the right triangle. Using this formula, you can find any missing side by rearranging the letters.

For example c squared - a squared would give you b squared. This is a rearranged formula for finding a side other than the hypotenuse.

SOLVE WORD PROBLEM- Jane has $75 in her checking account. She will deposit $30 in her account each month. How many months will it take her to reach $345?

Answers

Answer:

Step-by-step explanation:

$345 - $75 = $270 more needed

$270 × (1 month)/($30) = 9 months

Help with one please last question free 10 points

Answers

Answer:

The triangles are similar

Step-by-step explanation:

The angles are all the same, except the big triangle was flipped and the unnamed angle in the small triangle is named in the other one

Answer:

The triangles are not similar because their angles measurements are not the same.

Step-by-step explanation:

Solve the simultaneous equations
3x−2y=27
3x−y=24
x=? y=?
I can do this easily with positives but somehow I just don't understand a bit in negatives, can anyone help?
None of my answers are working.

Answers

Answer:

3x-2y=24 _____ (1)

2x-3y=18 _____ (2)

multiply (1) by 2

6x - 4y = 48

multiply (2) by 3

6x-9y=54

subtracting

6x - 4y = 48

6x - 9y = 54

- + -

___________

5y = -6

y=−

5

−6

3x−2(−

5

6

)=24

=3x+

5

12

=24

=3x=24−

5

12

=

5

120−12

=

5

108

∴x=

5

36

x+y=

5

36−6

=

5

30

=6

x−y=

5

36+6

=

5

42

solution

Step-by-step explanation:

according to me this should be the answer

good luck

hope it becomes helpful to you ☺️☺️

The x and y value from the given system of equations are 7 and -3 respectively.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given simultaneous equations are 3x-2y=27 ------(I) and 3x-y=24 ------(II) .

Subtract equation (I) from (II), we get

3x-y-(3x-2y)=24-27

⇒ y=-3

Substitute y=-3 in equation (I), we get

3x-2(-3)=27

⇒ 3x=21

⇒ x=7

Therefore, the x and y value from the given system of equations are 7 and -3 respectively.

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Please help quick will give brainly

Answers

Answer:

[tex]1134yd^3[/tex]

Step-by-step explanation:

Right Triangular Prism

V = LWH

L = 6yd

W = 21yd

H = 9yd

____________________

Follow the volume formula, and multiply the length by width and height together.

V = LWH

V = (6)(21)(9)

V = 1134yd^3

A baker dozen (13) of cookies is on sale f of 4.94. How much does each cookie cost

Answers

A baker dozen is 13 , it would be $0.38. All you have to do is divide 4.94 by the amount of cookies.

A rectangular-shaped parking lot is to have a perimeter of 458 yards. If the width must be 51 yards because of a building code, what will the length need to be?​

Answers

Answer:

178 yards

Step-by-step explanation:

458-(51 times 2)

356/2

178

what is the greatest common factor of 24.x*y–97P-12ry?​

Answers

Answer:

1

Step-by-step explanation:

Find the greatest common factor (GCF) of the terms, and use the GCF to find a list of common factors.

(next time add more points!)

PLZ HELP I NEED HELP ASAP PPLLLZZZZ

Answers

1 and 2/5 ft after you multiply both length and width.

PLEASE SOMEONE HELP ME
( There are np answer choices)

Answers

Answer:

whhhhhh

Step-by-step explanation:

it is number 2 because i took the test

HELP QUICK!! solve by substitution and show work please

Answers

4x-1=x-2
3x=-1
x=-1/3 is the answer

Answer:

(-1,-3)

Step-by-step explanation:

Substitute y=x-2 into y=4x+1

x-2=4x+1

substract -1 on both sides.

x-3=4x

subtract x on both sides

-3=3x

divide by 3 on both sides

x=-1

Substitute -1 into equation

y=x-2

y=(-1)-2

y=-3

So it would be (-1,-3)

Hoped it helped!

Estimate 1188+405+848 by first rounding each number to the nearest hundred

Answers

Answer:

about 2300

Step-by-step explanation:

Determine the value of the variable in each expression.

What is the value of m in the quotient of powers StartFraction 9 Superscript negative 3 Over 9 squared EndFraction = StartFraction 1 Over 9 Superscript m EndFraction?
m =
What is the value of n in the quotient of powers StartFraction x Superscript negative 4 Over x Superscript negative 6 EndFraction = x Superscript n
n =
What is the value of c in the quotient of powers StartFraction (negative 11) Superscript 7 Over (Negative 11) Superscript 0 EndFraction = (Negative 11) Superscript c
c =

Answers

Answer:

Step-by-step explanation:

m = 5

n = 2

c = 7

Answer:

5

2

7

Step-by-step explanation:

Is every rhombus with four right angles is a square. True or False

Answers

Answer:

True.

Step-by-step explanation:

A rhombus has four side of the same length (sometimes) and bisecting diagonals.

A square has what a rhombus has, as well as what a rectangle has.

A rectangle has parallel sides, four right angles, and congruent diagonals.

That means that a square has four right angles, four sides of the same length, and bisecting diagonals.

That's why a square is a rhombus and a rectangle but not its converse.

So, true.

Every rhombus with four right angles is a square. Therefore, the given statement is true.

What is a rhombus?

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.

A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.

Therefore, the given statement is true.

Learn more about the rhombus here:

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Si tengo $ 86 pesos y compro 3 libros de 1 ! " cada uno y seis objetos de a $ # " cada uno, ¿cuánto me queda? R = 77 $ " � %!& "

Answers

Answer:

Originalmente tenés $86 pesos.

Compras 3 libros de " 1 ! " cada uno.

(voy a suponer que 1 ! es un valor)

Entonces tenés que pagar 3 veces el valor 1 !

Esto significa que ahora tendrás:

$86 pesos - 3*(1 !)

Y ahora compras 6 objetos de $# cada uno.

Entonces tenés que pagar 6 veces $#.

Esto significa que tenemos que restar 6*$# a lo que te quedaba, entonces ahora vas a tener:

$86 - 3*(1 !) - 6*($#)

Este será tu resto después de la compra.

what is the expression for this click the box thingy if you can't see it

Answers

Answer:

[tex]m^{12}[/tex]

Step-by-step explanation:

Evaluate the following function for f(4). F(x)=2x-12

Answers

F(x)= 2(4)-12
F(x)= 8-12
-4 is the answer

I wanna do good on this plz help me!!

Answers

Answer:

2/1

Step-by-step explanation:

JA is the same side as KM

JA=24, KM=12

24/12=2

3. Solve by completing the square.
x^2+8x-9=0​
The solutions are x =

Answers

Answer:

is it like exponets

Step-by-step explanation:

Step 1: Factor left side of equation.
(x - 1)(x + 9) = 0

Step 2: Set factors equal to 0.
x-1=0 or x+9=0
x = 1 or x = -9

The solutions are x = 1 or x = -9

Please helpppp. I have a Limited time!!!!!!!

Answers

Answer:

[tex] 5A+3B =\begin{bmatrix} 33 & 32 & 47 \\ 39 & -12 & 56 \\ 26 & 19 & 30\end{bmatrix}[/tex]

Step-by-step explanation:

[tex] A=\begin{bmatrix} 3 & 4 & 7 \\ 6 & - 3 & 7 \\ 1 & 5 & 6 \end{bmatrix} \: and \: B=\begin{bmatrix} 6 & 4 & 4 \\ 3 & 1 & 7 \\ 7 & - 2 & 0 \end{bmatrix} [/tex]

[tex] 5A=5 \begin{bmatrix} 3 & 4 & 7 \\ 6 & - 3 & 7 \\ 1 & 5 & 6 \end{bmatrix}, \: \: 3B=3 \begin{bmatrix} 6 & 4 & 4 \\ 3 & 1 & 7 \\ 7 & - 2 & 0 \end{bmatrix} [/tex]

[tex] 5A=\begin{bmatrix} 15 & 20 & 35 \\ 30 & -15 & 35 \\ 5 & 25 & 30 \end{bmatrix}, \: \: 3B=\begin{bmatrix} 18 & 12 & 12 \\ 9 & 3 & 21 \\ 21 & - 6 & 0 \end{bmatrix} [/tex]

[tex] 5A+3B =\begin{bmatrix} 15 & 20 & 35 \\ 30 & -15 & 35 \\ 5 & 25 & 30 \end{bmatrix} +\begin{bmatrix} 18 & 12 & 12 \\ 9 & 3 & 21 \\ 21 & - 6 & 0 \end{bmatrix} [/tex]

[tex] 5A+3B =\begin{bmatrix} 15+18 & 20+12 & 35+12 \\ 30+9 & -15 +3 & 35 +21 \\ 5+21 & 25-6 & 30+0 \end{bmatrix}[/tex]

[tex] \purple {\bold {5A+3B =\begin{bmatrix} 33 & 32 & 47 \\ 39 & -12 & 56 \\26 & 19 & 30 \end{bmatrix}}} [/tex]

Draw a diagram of x + 3 and 2x for each situation:
x = 1
x = 2
x = 3
x = 4

Answers

The diagram of x + 3 and 2x are as drawn in the image attached

How to draw a diagram of x + 3 and 2x?

Given the situations: x = 1, x = 2, x = 3 and x = 4

For  x + 3

x = 1, x+3 = 4

x = 2, x+3 = 5

x = 3, x+3 = 6

x = 4, x+3 = 7

For  2x

x = 1, 2x = 2

x = 2, 2x = 4

x = 3, 2x = 6

x = 4, 2x = 8

You will use the values of x and y = x+3, and the values of x and y = 2x to draw the diagram of the lines as shown in the attached image

Learn more about diagram of lines on:

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Your sister is 2 yrs. Older than your brother. Their age combined is 30 yrs. What is your sisters age?

Answers

Answer:

the sister is 16

Step-by-step explanation:

30-14= 16 and thats a 2 year difference

Answer:

sister is 16

Step-by-step explanation:

explanation:

16+14=30

so the sister is 16 and the brother is 14. if that makes any sense ;)

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