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

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 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

find the number halfway between 19 and -55

Answers

Answer:

-18 is answer vvv9p6trrrd

(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

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 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.

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

Answers

The answer is n=210

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:

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:

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

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

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

-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

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

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!

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

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


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

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).

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!

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]

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

PLEASE HELP ME I DKNT UNDERSTAND

Answers

Answer:

a.36

b.8.5

c.2.5

d.6

e.9

f.8

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 many inches is 10560 feet?​

Answers

Answer:

126720

Step-by-step explanation:

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

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].

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

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

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