Sam glued 21 identical cubes together to form the solid shown below. He painted the exposed faces of the solid including the base. Find the total area that Sam painted. ​

Sam Glued 21 Identical Cubes Together To Form The Solid Shown Below. He Painted The Exposed Faces Of

Answers

Answer 1

Answer:

[tex]3456\; \rm cm^{2}[/tex].

Step-by-step explanation:

The diagram suggests that the length of a row of five cubes is [tex]40\; \rm cm[/tex]. Hence, the length of the edge of each cube would be:

[tex]\displaystyle \frac{40\; \rm cm }{5} = 8\; \rm cm[/tex].

That would correspond to an area of [tex](8\; \rm cm)^{2} = 64\; \rm cm^{2}[/tex] for each face of the cube.

Refer to the diagram attached.

Viewing from the front and from the rear each shows [tex]11[/tex] faces of the cubes.

Viewing from the top and from the bottom each shows [tex]10[/tex] faces of the cubes.

Viewing from the left and from the right each shows [tex]6[/tex] faces of the cubes.

When viewed from the six perspectives, [tex]2 \times 11 + 2 \times 10 + 2 \times 6 = 54[/tex] faces of the cubes are visible in total.

For this particular construction, all faces that need to be painted are visible when viewed from exactly one of the six perspectives: front, rear, top, right, left, right. Hence, Sam would need to paint [tex]54[/tex] of such [tex]64\; \rm cm^{2}[/tex] squares.

The area that Sam needs to paint would be [tex]54 \times (64\; \rm cm^{2}) = 3456\; \rm cm^{2}[/tex].

Sam Glued 21 Identical Cubes Together To Form The Solid Shown Below. He Painted The Exposed Faces Of

Related Questions

The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day​

Answers

Answer:

45000rupees

Step-by-step explanation:

cost of 1 litre of petrol=60rupees

cost of 750 litres of petrol=750×60rupees

=45000rupees

Pre-algbra worksheet!!Please help!! will give brainliest!!

Answers

Answer:

1/4= 0.5=0.125, 2/4=0.5=0.125, 3/4= 0.75=0.1878

4. Use the properties of exponents to simplify the expression: y ^ -4 (y ^ 3) ^2

Answers

Answer:

y^2

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?

Answers

Answer:

41

Step-by-step explanation:

i think i dont know that much

Let C be the positively oriented square with vertices (0,0), (3,0), (3,3), (0,3). Use Green's Theorem to evaluate the line integral
∫C 8y^2 x dx + 6x^2 y dy

Answers

Let D denote the region whose boundary is C. By Green's theorem,

[tex]\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}[/tex]

(3,-8) and (7,-2)
Jeejekrjrjeksksndnfkfk

Answers

Answer:

First question(-14)

Second question(-24)

Step-by-step explanation:

8 x 3 = 24/since the signs are different the number will be negative.

7 x -2 = -14/since the signs are different the number will be negative.

hope this helps!! plz mark as brainly if it helps you<3

Use the graph to find out over what interval f(x) is less than or equal to 0. PLEASE HELP ASAP!!!

Answers

Answer:

[-5, 2]

Step-by-step explanation:

We have to find the interval for which f(x) <= 0, the interval is [-5, 2].

On a scatter plot, what is the difference between a positive and a negative correlation

Answers

Answer:

Positive correlation means that as the first variable increases, the second variable increases as well. ... Negative correlation would mean that as one variable increases, the second variable decreases. Negative correlation corresponds to points that move down as you go from left to right on your scatter plot

Hope this helps you!

Ayudaa con esa qnq

-9/4 + 3/7 x -1/11

Answers

Answer:

3x-721/44 over 7

Step-by-step explanation:

1)Combine multiplied terms into a single fraction

2)Multiply the numbers

3)Subtract the numbers

4)Find common denominator

5)Combine fractions with common denominator

6)Multiply the numbers

7)Rearrange terms

PLEASE HELP ME I DKNT UNDERSTAND

Answers

Answer:

a.36

b.8.5

c.2.5

d.6

e.9

f.8

find the number halfway between 19 and -55

Answers

Answer:

-18 is answer vvv9p6trrrd

Find the value of x.

Answers

9514 1404 393

Answer:

  C)  41

Step-by-step explanation:

The angles of the linear pair are supplementary, so you have ...

  (x +16)° +123° = 180°

  x = 41 . . . . . . . . . . . . . . divide by °, subtract 139

Answer:

x = 41

Step-by-step explanation:

The angles shown are supplementary

Supplementary angles add up to equal 180

This means that x + 16 + 123 = 180

x + 16 + 123 = 180

Solve for x

Combine like terms ( add 16 and 123 )

x + 139 = 180

Subtract 139 from both sides

x = 41

Find the perimeter of the shape shown below.

Answers

Answer:

22 cubes

Step-by-step explanation:

Hi! I'm happy to help!

Perimeter is the total length of all the sides.

Let's start out with the top left corner and work our way counterclockwise.

For our first segment, we start from the top left corner and go to the bottom left corner, this is a length of 3, let's start our equation:

3+

Next, we are at the bottom left corner, let's go to the bottom right corner. This is a length of 5. Let's expand our equation:

3+5+

Now we are at the bottom right corner, let's go to the top right corner. This is also a length of 3. Let's add that to our equation:

3+5+3+

Now we are at the top right corner, lets go to the top middle right corner, which is to the left one unit. Let's add this:

3+5+3+1+

Now, let's head down 2 units to the inside of our shape.

3+5+3+1+2+

Move toward the center one unit:

3+5+3+1+2+1+

Move up one unit:

3+5+3+1+2+1+1+

Move left one unit:

3+5+3+1+2+1+1+1+

Move down one unit:

3+5+3+1+2+1+1+1+1+

Move left another unit:

3+5+3+1+2+1+1+1+1+1+

Start heading back up 2 units towards the top left corner:

3+5+3+1+2+1+1+1+1+1+2+

Finally, reach back 1 unit to the top left corner:

3+5+3+1+2+1+1+1+1+1+2+1=

Let's solve:

3+5+3+1+2+1+1+1+1+1+2+1=

8+3+1+2+1+1+1+1+1+2+1=

11+1+2+1+1+1+1+1+2+1=

12+2+1+1+1+1+1+2+1=

14+1+1+1+1+1+2+1=

15+1+1+1+1+2+1=

16+1+1+1+2+1=

17+1+1+2+1=

18+1+2+1=

19+2+1=

21+1=

22

Our perimeter is 22.

I hope this was helpful,(I think this was longer than it needed to be) keep learning! :D

simplify 3/8 and 9/64

PLEASE HELP

Answers

Answer:

3/8 simplified is still 3/8 (0.375 in decimal form)

9/64 simplified is also still 9/64 (0.140625 in decimal form)

Step-by-step explanation:

A display case of glitter stickers are marked 15 for $2. If Cathy wants to buy 30 glitter stickers, how much will Cathy spend?

Answers

Answer:

$4, 15 x 2=30

      2 x 2=4

Answer:

4 dollars

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

You move left 4 units. You end at (-5, -5). Where did you start?

Answers

Answer:

(-1,-5)

Step-by-step explanation:

To understand where this point was before the transformation you must first understand the transformation itself. Shifting left is a horizontal translation, this means that it will affect the x-coordinate. The x-coordinate is the first digit in the pair. Therefore, in the case of (3,5), 3 would be the x-coordinate. Additionally, moving left is moving towards the negative, so it is the same as subtracting. Thus, to find where you started, work backward. Do this by adding 4 to the x-coordinate. This means the beginning coordinate was (-1,-5).

Calculate the area of each figure.

Answers

Answer:

230cm²

Step-by-step explanation:

We can split the shape into 2 parts - the triangle and the rectangle.

The area of the retangle is 10*17cm = 170cm²

The area of the triangle  = 1/2 * (22-10) * (17-7)

                                         =  1/2 * 12 * 10 = 60

Therefore the total area is equal to 170+60 = 230cm²

A survey of the members of a school house revealed the following statistics: 60% liked football, 56% liked hockey, 50% liked athletics, 26% liked football and hockey, 20% liked hockey and athletics,30% liked football and athletics, 10% liked all three sports. What percentage of the house liked football and hockey but not athletics? What percentage liked exactly two put of the tree sports? What percentage did not like any of the three sports?

Answers

F union H union A whole complement =100

how do you write -10 2/9 as a decimal​

Answers

Answer:

10.22

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

10 × 9 = 90

Step 2: Add the product you got in Step 1 to the numerator:

90 + 2 = 92

Step 3: Divide the sum from Step 2 by the denominator:

92 ÷ 9 = 10.222222


When solving the given equation, what is the first step?
(a)
Given: x - 3=8
А
Add 3 to both sides
B
Subtract 3 from both sides
C
Multiply -3 to both sides
D
Divide -3 from both sides
(b) What is the solution to the give equation?
Given: 1 - 3 = 8

Answers

Answer:

A

Step-by-step explanation:

You are given that x - 3 = 8

It's an equation. The first thing you do is add or subtract when you are learning how to handle equations. This is a level 1 equation. That means that the solution is just to add or subtract something.

In this case, x has 3 taken away from it. So you have to get x by  itself. The way to do that is to add 3. Then the -3 on the left disappears.

x - 3 + 3 = 8+3

x = 11

The answer is A

Answer:

don't know actually but I can elaborate the solution

Step-by-step explanation:

x-3=8

x=8+3

x=11

Solve the following problems using equations. Show your working steps clearly.

1. Four years ago, the age of Paul was twice that of John. John is 18 years old now. How old is Paul now?

2. Five bottles of milk cost $4.4 more than four bottles of juice. If one bottle of milk costs $3.2, find the cost of one bottle of juice.

3. Miss Cheung spends 1/8 of her savings on personal ornaments and 5/6 on clothing. If her savings still has $130 left, find the original amount of her savings.​

Answers

1.

Paul's present age = x

John's present age = 18

Paul's age 4 years ago = x - 4

John's age 4 years ago = 18 - 4 = 14

Also,

Paul's age four years ago was twice that of John's age four years ago.

Therefore,

Paul's age 4 years ago = 2(14)

= 28

Paul's age 4 years ago = x - 4 = 28

x - 4 = 28

x = 28 + 4

x = 32

Therefore, the present age of Paul is 32.

2.

Cost of one bottle of milk = $3.2

Cost of five bottles of milk = $3.2 × 5 = $15

Cost of four bottles of juice = $15 - $4.4

= $10.6

Cost of one bottle of juice = x

= Cost of four bottles of juice

4

= 10.6

4

= 2.56

Therefore, one bottle of juice costs $2.56.

3.

Savings spent on personal ornaments = 1/8

Savings spent on clothing = 5/6

Total savings spent = 1/8 + 5/6

= 3/24 + 20/24

= (3+20)/24

= 23/24

Savings left = 1/24 = $130

Total amount of savings = x

As 130 is one part of the total savings,

Total amount of savings =

x = 130 × 24

x = 3120

Therefore, original amount of savings is $3120.

-12x²-5x-7x²+6+13x simplify

Answers

Answer:

-19[tex]x^{2}[/tex] + 8x + 6

Step-by-step explanation:

−12[tex]x^{2}[/tex]−5x−7[tex]x^{2}[/tex]+6+13x

= −12[tex]x^{2}[/tex]−7[tex]x^{2}[/tex]+13x-5x+6

= -19[tex]x^{2}[/tex] + 8x + 6

PLEASE HELP

1= a-13/-6

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer: 7

Step-by-step explanation:

1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6:  1= a-13/-6 ==> -6=a-13

2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13

3. you know -6+13 equals 7 right? so the answer is a=7

Hey there! I'm happy to help!

We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.

[tex]\frac{a-13}{-6} =1[/tex]

What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.

We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.

[tex]\frac{a-13}{-6} *-6=1*-6\\\frac{a-13}{1}=-6\\a-13=-6[/tex]

Now we add 13 to both sides to undo the -13 on the left side.

[tex]a-13+13=-6+13[/tex]

[tex]a+0=7\\a=7[/tex]

Have a wonderful day and keep on learning! :D

how many inches is 10560 feet?​

Answers

Answer:

126720

Step-by-step explanation:

from the number 0,1,2,3,4,5
a. how many 2-digit number can be made if repetition is not allowed
b. how many 4-digit number less than three thousand can be made if repetition is allowed
c. how many 4 digits numbers greater than 4000 can be made if repetition is not allowed

Answers

Answer:

25, 432, 120

Step-by-step explanation:

a. 5 × 5 = 25 ways

b. 2 × 6 × 6 × 6 = 432 ways

c. 2 × 5 × 4 × 3 = 120 ways

HELP PLEASE! I AM DOING A TEST TO QUALIFY FOR SCHOOL!!!




Marcus’s mom lets him play video games for a certain amount of time each day. He has already spent 9 minutes playing video games and has fewer than 27 minutes left to play. The inequality

t – 9 < 27 can be used to determine the number of minutes Marcus has left to play video games.



Which number line best represents the solution to the inequality?

Answers

Answer:

one where 36 is unshaded

Answer:

the first one

Step-by-step explanation:

Please solve the equation for z

Answers

Answer:

z = 2y - 4x

Step-by-step explanation:

[tex]{ \sf{x = \frac{2y - z}{4} }} [/tex]

multiply both sides by 4:

[tex]{ \sf{(4 \times x) = ( \frac{2y - z}{4}) \times 4 }} \\ \\ { \sf{4x = 2y - z}} \\{ \sf{z = 2y - 4x}}[/tex]

Solve for n: n-70=200-(15x4)

Answers

The answer is n=210

Simplify image below 20 POINTS!

Answers

(a-b)(a^2+ab+b^2)/(a-b)(a+b)

Hey there!

I believe this would be your answer: [tex]\frac{a^2+ab+b^2} {a+b}[/tex]

Hope this helps!

Have a great day!

hi my friend needs help with this ASAP if you cant read the small writting under the equation it says (y is a fraction) PLEASE HELP she tried to do it on her own as you can see but she could not do it HELPPPPPP

Answers

Answer:

(3)

x = 0

y = 3/7

(4)

x = 6

y = -11

Step-by-step explanation:

the beginning was right, but get mistake was then to add the 2 equations but the parts with the y terms she suddenly subtracted.

no, one operation for everything. and then maybe another operation (and again for everything present).

so, some would multiply by -2 and then truly add.

or, as we will do it now to refuse as much as possible from your friend's work, we multiply by 2 and then SUBTRACT !

5x + 7y = 3

3x + 14y = 6

multiply the first equation by 2 and then subtract the second one.

10x + 14y = 6

- 3x + 14y = 6

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

7x + 0 = 0

=>

x = 0

then we use this e.g. in the first equation to get y :

5×0 + 7y = 3

7y = 3

y = 3/7

10x + 3y = 27

3x - 5y = 73

let's go e.g. for 15y (multiply the fits by 5 and the second by 3)

50x + 15y = 135

+ 9x - 15y = 219

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

59x + 0. = 354

59x = 354

x = 6

10×6 + 3y = 27

60 + 3y = 27

3y = -33

y = -11

Other Questions
What is another way to write the equation 7/8 x + 3/4=-6 ? One angle of a right triangle measures 7. What is the measure of the other acute angle? How many moles of aluminum oxide (Al2O3) are in a sample with a mass of 204.0 g? simplify the equation 5+4(8-6)^2 Read the poem.Upon the Burning of Our Houseby Anne BradstreetIn silent night when rest I tookFor sorrow near I did not lookI wakened was with thundring noiseAnd piteous shrieks of dreadful voice.That fearful sound of Fire! and Fire!Let no man know is my desire.I, starting up, the light did spy,And to my God my heart did cryTo strengthen me in my distressAnd not to leave me succorless.Then, coming out, beheld a spaceThe flame consume my dwelling place.And when I could no longer look,I blest His name that gave and took,That laid my goods now in the dust.Yea, so it was, and so twas just.It was His own, it was not mine,Far be it that I should repine;He might of all justly bereftBut yet sufficient for us left.When by the ruins oft I pastMy sorrowing eyes aside did cast,And here and there the places spyWhere oft I sat and long did lie:Here stood that trunk, and there that chest,There lay that store I counted best.My pleasant things in ashes lie,And them behold no more shall I.Under thy roof no guest shall sit,Nor at thy table eat a bit.No pleasant tale shall eer be told,Nor things recounted done of old.No candle eer shall shine in thee,Nor bridegrooms voice eer heard shall be.In silence ever shall thou lie,Adieu, Adieu, alls vanity.Then straight I gin my heart to chide,And did thy wealth on earth abide?Didst fix thy hope on mouldring dust?The arm of flesh didst make thy trust?Raise up thy thoughts above the skyThat dunghill mists away may fly.Thou hast an house on high erect,Framed by that mighty Architect,With glory richly furnished,Stands permanent though this be fled.Its purchasd and paid for tooBy Him who hath enough to do.A price so vast as is unknownYet by His gift is made thine own;Theres wealth enough, I need no more,Farewell, my pelf, farewell, my store.The world no longer let me love,My hope and treasure lies above.In Upon the Burning of Our House, Bradstreet explains the loss of her house is a part of Gods plan.Which lines from the poem best convey this thought?A. Yea, so it was, and so twas just. / It was His own, it was not mine B. Under thy roof no guest shall sit, / Nor at thy table eat a bit.C. And to my God my heart did cry / To strengthen me in my distressD. Raise up thy thoughts above the sky / That dunghill mists away may fly. what is biology ????? ) A club on campus is selling Entertainment coupon books for $30 each. It costs the team $10 tobuy each book. The club has 500 books. The team's profit P(n) is given by the followingfunction where n represents the number of books sold.p(n) = 30n - 5000a. What does the 30n represent?b. What does the 5000 represent?c. How much profit would they make if they sold 400 books? Who picked up musket at Boston Massacre Write a letter to your friend describing your plans after giving SEE examination. For the motion of a falling object, which graphs are straight lines? *Acceleration versus time onlyDisplacement versus time onlyO Displacement versus time and acceleration versus timeO Velocity versus time and acceleration versus time is a rectangle. EA is 12 in. Find the length of the diagonal .12 in.24 in.6 in.26 in. This work of art is attributed to Charles Moore. How did his work incorporate influences from previous art periods? The scatter plot shows the number of minutes Guya practiced the flute each day in a given week.How many minutes did Guya practice on Tuesday?A) 1minB) 2min C) 20min D) 30 min Is 2 a rational or an irrational number Find H.C.F of 75100,125900& 270 Part A: Which conclusion is presented by the author in Chapter 1 of Written in Bone? A. Soil stains and other changes in the earth make it difficult for scientists to uncover the secrets of those who died. A. Soil stains and other changes in the earth make it difficult for scientists to uncover the secrets of those who died. B. Forensic anthropologists worked hard but were never able to find the original James Fort. B. Forensic anthropologists worked hard but were never able to find the original James Fort. C. Scientists identified the location of the original James fort by finding skeletal remains. C. Scientists identified the location of the original James fort by finding skeletal remains. D. Archaeologists can locate old graves by looking for soil stains that are the size of a human body or coffin. D. Archaeologists can locate old graves by looking for soil stains that are the size of a human body or coffin. Part B Which quotation best supports the answer to Part A? A. As they find, excavate, and analyze these objects- including skeletons- archaeologists help us understand the past more fully and reclaim the histories of individuals who had been forgotten with the passage of time." A. As they find, excavate, and analyze these objects- including skeletons- archaeologists help us understand the past more fully and reclaim the histories of individuals who had been forgotten with the passage of time." B. A photograph taken in 1852 shows a cart in front of the old church tower that marked the location of the Jamestown settlement." B. A photograph taken in 1852 shows a cart in front of the old church tower that marked the location of the Jamestown settlement." C. The shape and pattern of the soil stains could have been made only by the palisade walls of James Fort." C. The shape and pattern of the soil stains could have been made only by the palisade walls of James Fort." D. Because the backfill soil contains the mixed soils of the excavated layers, it is a different color than the Which Mha ship do you not like? After exhaling to clear water from your second stage, you should: A. Inhale deeply, as you will likely be out of breath. B. Inhale partially, then press the purge button. C. Inhale cautiously, so that you can 'breathe past" any remaining water. D. None of the above. Write only the letter of your answerD. Art NouveauA. FuturismC. ExpressionismB. Cubism1. Inspired by both organic and geometric forms.2. Celebrated the machine age.3. Focusing on the vitality of the modern world.4. Exaggerated and distorted representations5. Abandoned perspective, foreshortening and chiaroscuro6. Illustrated totally fragmented objects presented in many angles7. Employed bold and intense colors and strong outlines8. Preferred sophisticated designs that united angular and flowing forms.9. Incorporated primitivism and fantasy10. No interest in copying color, texture, form and space. add 4 beginning at 7