HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?

A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²

HELP PLS!! D:The Net Of A Rectangular Prism Is Shown Below. What Is The Total Surface Area Of This Prism?A.

Answers

Answer 1
Answer:   142 cm^2  (choice B)

=========================================================

Explanation:

Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.

To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.

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

The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.

Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas

3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2

I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.

The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15

Lastly, we'll add up the sub-areas to get the grand total

A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area

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

Another pathway to the answer:

If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions

L = 7 cmW = 5 cmH = 3 cm

The order of L,W,H doesn't really matter.

Then we can use the 3D block surface area formula like so

SA = 2*(LW + LH + WH)

SA = 2*(7*5 + 7*3 + 5*3)

SA = 2*(35 + 21 + 15)

SA = 2*71

SA = 142 cm^2 is the surface area

As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.


Related Questions

Trying to find the equation for the pattern 5, 11, 18, 26, 35, 45​

Answers

Answer:

Step-by-step explanation:

[tex]u_{n+1}=u_n+n+5\\\Longrightarrow\ u_{n+2}=u_{n+1}+(n+1)+5\\u_{n+2}-u_{n+1}=u_{n+1}+n+1+5-u_n-n-5\\u_{n+2}=2u_{n+1}-u_n+1\\u_{n+3}=2u_{n+2}-u_{n+1}+1\\\\u_{n+3}-u_{n+2}=2u_{n+2}-u_{n+1}+1 -2u_{n+1}+u_n-1\\\\u_{n+3}-3u_{n+2}+3u_{n+1}-u_n=0\\\\\\Equation\ caract\' eristique:\\r^3-3r^2+3r-1=0\\(r-1)^3=0\\\\\boxed{u_n=a+b*n+c*t^2}\\\\u_1=5\\u_2=11\\u_3=18\\u_4=a+4*b+16*c=26\\u_5=a+5*b+25*c=35\\u_6=a+6*b+36*c=45\\\\[/tex]

a=0

b=9/2

c=1/2

Proof:

n=1 ==> u_1=1/2*(9+1)=5

n=2 ==> u_2=2/2*(9+2)=11

n=3 ==> u_3=3/2*(9+3)=18

n=4 ==> u_=4/2*(9+4)=26

n=5 ==> 5/2*(9+5)=35

n=6 ==> 6/2*(9+6)=45

...

Answer: i have found one that calculates differences when given a sigma with a sigma rule, you could adjust the formula for patterns, if you create a sigma equation and then apply the formulas and then make up a pattern that falls within it, knowing the connection is they go up in the same numbers or knowing it and for some patterns being able to solve it.  when given such a sigma problem such as n=1 sigma 3 is the end point 7n-1 is the rule, we would use the value of n until the end point 3, but consider 7n-1 equal to 6+13+20 which equals 39 since 7*1-1=6 and 7*2-1=13, 7*3-1=20 and 6+13+20 is 39. remeber it is equal to that since we plug the value of n from the starting point to the end point of any sigma. a1=7*n-1=6,a2=7*2-1=13,  7*3-1=21 is what you should manipulate for another sigma problem that calculates the diffrence of a sequence as well as its total. the one equation that calculates the total of your patterns is:∑_(n=0)^20▒〖7n-0=140〗

the ones i know to find that represent the patterns in terms of what it would be in the nth term is 58ns it represents what the pattern would be in the nth terms but it is not equal to the pattern.

    finding the nth term by looking for an expression to use for the nth term is the same as finding an expression representing the nth term. the nth term is is the numerical difference in the given series with the letter n on the right of that and the number from the beginning of a series in some cases. one more thing for a negative number at the beginning of a pattern you get the missing number i.e the numerical difference on the left and then and the function of the first number. for example:  there is a pattern going from -1 to 19 so the pattern would be -1, 3, 7,11, 15,19. the numerical difference is 4, n is the letter that would come after and -1 , -1 is a function in the area of nth term since the whole expression would be 4n subtracted by 1 and subtraction is a function, a function is a operation in mathes.          

Step-by-step explanation:        

11-5=6

18-11=7

26-35

45-35=10

6+7+35+10=13+45=58 (the differences added up)

5+11+18, 26+35+45​=140        

                                                                                                   

7 + 3x - 12x = 3x+ 1
Solve for x

Answers

2/3 using basic algebra

Answer:

x =  1 /2

Step-by-step explanation:

isolate the variable by dividing each side by factors that dont contain the variable

decimal form will be: x =  0.5

hope that helps>3

Determine the range of the following graph:
12
11
10
9
8
100
1
-12-11-10-9-8-7-6-574-3-2-4
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
- 4
-5
-6
-8
-9
-10
-11
-12

Answers

The range is the set of all y-values used on the graph.

So start by asking yourself, “How low does the graph go?” Then ask, “How high does it get?” Then “Does it connect up and get everywhere in between?”

How low: -9, but not all the way, since that’s an open circle.
How high: 5 and it looks like it gets there
Everything in between: Yup!

Range: (-9,5]

( on -9 because it’s not included.
] on the 5 because it is included.

There are 35 boys in band and 49 girls in band Ryan says the boys to girls is 5 to 7 is he correct or incorrect show how he is correct or incorrect

Answers

Answer:

He is correct.

Step-by-step explanation:

[tex]\frac{35}{49} =\frac{5}{7}[/tex]

He is correct
7x +5x=84 boys and girls
12x =84
x=7
7x7=49. 5x7=35

Can anyone help?
Plis

Answers

Answer:

B. 50%

Step-by-step explanation:

7/20 = 35%

35% + 15% = 50%

100% - 50% = 50%

white → 15%

red → 7/20 · 100% = 35/100 · 100% = 35%

blue → 100% - 35% - 15% = 50%

Answer: B)

What are the coordinates of the midpoint
of the segment joining the points
A(-3,-1) and B(4,2)?
Midpoint = (***
x1 + x2 Y1 +92
2 2.
O (2,-4)
(-1.0.5)
O (1.-2)
(0.5, -1)

Answers

Answer:

(0.5, -1)

Step-by-step explanation:

the temperature was -6 degree ferahit. it rose so that the temperature was 0 degree ferahit . what represents the change in temperature

Answers

Answer:-6+6=0

Step-by-step explanation: basically just put the sentence into an equation.

d=degrees farenheit

-6d+6d =0d

Answer:

if ur wondering on how to solve it u should solve it by an equation.

Step-by-step explanation:

just make sure to explain us answer and the answer is 6+6=0

7/12- 1/2[tex]7/12-1/2[/tex]

Answers

Answer:

1/12

Step-by-step explanation:

7/12 - 1/2

~Find common denominators

7/12 - 6/12

~Subtract

1/12

Best of Luck!

1 1/3 x 1/14
Help please

Answers

Step-by-step explanation:

=11/3×1/14

=3.67×0.07

=0.2568

Convert it to mixed numbers
1 1/3 = 4/3
So it becomes
4/3 x 1/14
Times across
So it becomes
4/42

solve 4x+y=24 and y=-4x+24 using substitution​

Answers

Answer:

no solutions

Step-by-step explanation:

[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]

substitute for y in (a) with (b):

[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

What is the inverse of f(x) = 2x2 –4?

Answers

Answer:

The inverse of the function is

[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]

Step-by-step explanation:

let the inverse of f(x) be m:

[tex]m = {2x}^{2} - 4 [/tex]

take 4 to the left hand side ( changes sign to positive ):

[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]

take a square root on all sides:

[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]

substitute x in place of m:

[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]

Anthony has a bank balance of $45. Sara has a bank balance of -$90. Sean has a bank balance of -$208. Marsha has a bank balance of $153. Which is the smallest debt?

Answers

9514 1404 393

Answer:

  Marsha and Anthony

Step-by-step explanation:

Here a negative bank balance represents a debt. The larger the magnitude of the negative number, the more debt it represents. A positive bank balance corresponds to no debt.

Anthony and Marsha -- no debt . . . . smallest debt

Sara -- $90 in debt . . . . smallest non-zero debt

Sean -- $208 in debt

On those with non-zero debt, Sara has the smallest debt. Overall, Anthony and Marsha have the smallest debt: zero debt.

Consider the set A with n(A) = 20.  How many subsets could be formed from this set?​

Answers

Answer:

There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]

Step-by-step explanation:

Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^{20}[/tex]

Will give brainliest

Use the distributive property to simplify
the equation below.
7(x - y + 3) = [? ]x -
[ ]y
+

Answers

Answer:

7x - 7y + 21

Step-by-step explanation:

7(x - y + 3)

=> 7 × x - 7 × y + 7 × 3

=> 7x - 7y + 21

Answer:

[tex]7(x - y + 3) = 7x - 7y + 21 \\ thank \: you[/tex]

Help please due today

Answers

Answer:

3.2=6

4.2=8

5.2=10

the scale factor is 2

state the domain: A= {(-3,2), (5,4), (7,-3)}

Answers

The required domain is [tex]\{-3,5,7\}[/tex].

Given:

A set of ordered pairs is:

[tex]A=\{(-3,2),(5,4),(7,-3)\}[/tex]

To find:

The domain of the given set of ordered pairs.

Solution:

Domain is the set of input values.

In the set of ordered pairs [tex](x,y)[/tex], then the set of all the [tex]x[/tex]-values is domain and the set of all the [tex]y[/tex]-values is range.

We have,

[tex]A=\{(-3,2),(5,4),(7,-3)\}[/tex]

In the above set of ordered pairs, the x-values are [tex]-3,5,7[/tex].

[tex]Domain=\{-3,5,7\}[/tex]

Therefore, the domain of the given set of ordered pairs is [tex]\{-3,5,7\}[/tex].

Learn more:

https://brainly.com/question/3269807

You need to make 48 servings of roast beef gravy. Each serving takes .75 cups of brown stock. How many quarts of brown stock do you have to make

Answers

Answer:16 q

Step-by-step explanation:

Simplify addition radical expression

√36+√64

Answers

Answer:

14

Step-by-step explanation:

√36+√64

√36=6

√64=8

6+8

14

THANK YOU

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -3 - 2 cos θ

Answers

The graph is symmetric about the y axis

Answer: symmetric on the x-axis only.

Step-by-step explanation:

find an equation for the line passing through (4, 1) and perpendicular to the line 2y+4=6x

Answers

Answer:

y = 3x - 11

Step-by-step explanation:

2y+4=6x

2y = 6x - 4

y = 3x - 2

y = 3x + b

1 = 3(4) + b

1 = 12 + b

-11 = b

Help me with this question ​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The statement of proportionality tells you ...

  m = kr³

The values in the fourth column can tell the value of k:

  k = m/r³ = 6.75/1.5³ = 2

Then we have ...

  m = 2r³

Solving for r gives ...

  m/2 = r³

  r = ∛(m/2)

These two relations were used to fill in the spaces in the table. (It is convenient to let a spreadsheet do the calculations.)

Find the midpoint of the line segment joining the points (-3,-2) and (-7,5)

Answers

Answer:

The midpoint is (-5,1.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

( -3+-7)/2 = -10/2 = -5

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

( -2+5)/2 = 3/2 = 1.5

The midpoint is (-5,1.5)

The quantities x and y are proportional.

Answers

Answer:

r = 1

Step-by-step explanation:

Given the equation of proportion

y = rx ← r is the constant of proportionality

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Choose any ordered pair from the table

Using x = 5.8 and y = 5.8 , then

r = [tex]\frac{5.8}{5.8}[/tex] = 1

How do i reflect triangle ABC if A (2,3), B (1,1), C(4,-3) over the x axis. Also rotating the triangle 90 degrees clockwise about the origin.

Answers

9514 1404 393

Answer:

  see attached. red = reflected; blue = rotated

Step-by-step explanation:

The relevant coordinate transformations are ...

  (x, y) ⇒ (x, -y) . . . . . reflection over the x-axis

  (x, y) ⇒ (y, -x) . . . . . rotation 90° CW

In the attached figure, the red triangle A'B'C' is reflected. The blue triangle A"B"C" is rotated.

__

Additional comment

Learning to visualize these transformations can take a little practice. It can help to draw the figure on a graph, trace it on another piece of paper or transparency, then move the copy to the new position relative to the old axes.

For reflection across the x-axis, the x-axis of the copy is aligned with the original, but the copy is flipped over so the old +y axis is aligned with the -y axis, and vice versa.

For rotation 90° CW, what was the +y axis becomes aligned with the +x axis, and what was the +x axis becomes aligned with the -y axis. That is, the figure is rotated 90° CW about the origin so anything in the first quadrant is moved to the 4th quadrant.

Need help fast!!! This question is for algebra 2 and for a Quiz.
Thank youu.

Answers

Step-by-step explanation:

it is unclear what is meant by f1 and f2. do you mean f' and f'' ?

I don't think so, as you mentioned algebra 2.

so, is it just a way to identify different functions ? like function 1 vs. function 2 ?

if that's the case, then both functions represent lines.

both lines go through the origin.

but as their slopes are of same size but different sign, one is actually the mirrored version of the other one (mirrored around the x-axis).

FYI - the created visible pattern (4 lines emanating from the origin) would also indicate that the visible pattern (but not the functions) is also mirrored around the y-axis.

what is credit invoice​

Answers

A statement detailing a refund or credit to a invoice

The sum of three consecutive integers is 147. Find the integers.
The integers are
(Use a comma to separate answers.)

(Answer quickly)

Answers

Answer:

48, 49, 50

Step-by-step explanation:

x + x+1 + x+2 = 147

3x + 3 = 147

3x = 147 - 3

x = 144/3

x = 48

find any points of discontinuity for the rational function... y=x-3/x^2-3x-10

Answers

Answer:

x = -2 or 5

Step-by-step explanation:

y = (x-3)/((x-5)(x+2))

y is undefined when the denominator is zero.


The shaded rectangle, which is the correct expression of its perimeter

Answers

Answer:

2x + 2y - 4

Step-by-step explanation:

The opposite sides are congruent so perimeter (P) is

P = 2(x + 2) + 2(y - 4)

  = 2x + 4 + 2y - 8

  = 2x + 2y - 4

5=2+3x i need help plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

x = 1

Step-by-step explanation:

5 = 2 + 3x

=> 5 - 2 = 3x

=> 3 = 3x

=> 3/3 = x

=> 1 = x

Answer:

x=1

Step-by-step explanation:

5=2+3x

5=3x+2

-2   -2

3=3x

/3  /3

x=1

hope this helps

brainliest pls?

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