Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.

1. Which surface is shared by the two solids? What are the dimensions of this surface?

2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.

3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:

twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square

4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.

Oh and here's an image to help you out

Molly Is Painting A Model House And Needs To Know How Much Paint She Will Need. She Knows The Surface

Answers

Answer 1

Answer:

1. Base of pyramid; 6 in by 6 in

2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.

3. twice the area of the square

4. Area = 228 inches squared

Step-by-step explanation:

For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.

Step 1. Add all surface areas together

Prism: 6 surfaces

Surface area = 216 inches sq

Front = 6 x 6 = 36 Back = 6 x 6 = 36Top = 6 x 6 = 36Bottom (base) = 6 x 6 = 36Side = 6 x 6 = 36Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

Bottom (base) = 6 x 6 = 36Front triangle = (6 x 4)/2 = 12Back = (6 x 4)/2 = 12Side = (6 x 4)/2 = 12 Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

Step 2. Subtract surfaces that are NOT being painted

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

228 inches sq

Hope this helps!


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Write the inequality for the given situation. In a conference, there is one large 10-seat table and many smaller 4-seat tables. There are enough tables to fit 200 participants. Use t for the number of 4-seat tables in the conference.

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t is less then or equal to 10 equals 100

Given: Side c is the length of the hypotenuse of a right triangle Sides a and bare lengths of the legs of a right triangle. The area of the large square is equal to the area of the four congruent triangles plus the area of the small square.

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Answer:Given: Side c is the length of the hypotenuse of a right triangle Sides a and bare lengths of the legs of a right triangle. The area of the large square is ...

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Step-by-step explanation:

One-step inequalities
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X is greater than or equal to negative 42

















Hi!

[tex]\\ \sf\longrightarrow \dfrac{x}{7}\geqslant -6[/tex]

[tex]\\ \sf\longrightarrow x\geqslant -6(7)[/tex]

[tex]\\ \sf\longrightarrow x\geqslant -42[/tex]

Solution set in interval notation

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In one to two sentences, describe an impact that division of labor had on the economic growth of the United States. Write two sentences. I will give brainiest for best answer

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Answer:

advantages—abundant natural resources, a stable government with relatively lax regulations, and a large workforce—made it the dominant industrial power by the 20th century.

Step-by-step explanation:

The benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.

What is Division of Labor?

Division of labor is indeed the division of a work flow into several tasks, each of which is carried out by a different person or group of people. It is one of the fundamental organizational concepts of the production line and is most frequently used in mass production systems.

In any economic organization, the division of work refers to the separation of duties to allow members to specialize. Division of Labor refers to the division of the primary manufacturing process into a number of straightforward sections, each of which is produced by a distinct worker who specializes in producing that particular element.

Thus, the benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.

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Carla deposits $5250 into a bank, which yields a simple interest rate of 0.8% every 3 months. If the interest rate is increased to 1.2%, how much more interest will she receive after 2 years compared to the original interest rate of 0.8%?

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Answer:

the exact vaile is 5250.0128

Step-by-step explanation:

5250.0128 I did this question too

Rebecca had these results when she drew 10 tiles from the bag. The bag has a total of 20 tiles. Her classmates got similar results. What is a good predication for the number of green and red tiles out of 20?

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Answer: 15 green 5 red

Step-by-step explanation:

if its less likely to pull red than green you would to chose the lowest amount

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Answer:

1/4

Step-by-step explanation:

1 is shaded out of 4

Warm-Up
Select all the expressions that are equivalent to [tex]3x-4+2x-6[/tex].
A.x-2
B.5x-2
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D.5x+10
E.5x-10

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C and E because when simplified they are all equal to the same answer
C and E
C: What you would get when you simplify the expression
E: What you would get when you factor the expression
Therefore, C and E are equivalent.

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Equation: 4x + 4 = 9x + 11
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Answer:

yes I can devine in graphs

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Answer:

[tex]4^{2}[/tex]

Step-by-step explanation:

so when you multiply two numbers with the same constant, and different exponents, just add the exponents!

so it is 5 - 3 = 2

so its [tex]4^{2}[/tex]

Answer:

A) 4²

Step-by-step explanation:

[tex](4^5)(4^{-3})\\\\4(^{5-3})\\\\4^2\\\\16[/tex]

Hope this helps!

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Answer/Step-by-step explanation:

Refer to picture below:

Please I need help with these 2 questions!!

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Answer:

Step-by-step explanation:

5. A straight line (view that attached graph)

6. y = x² + (-3) is equivalent to y = x² - 3

0:

y = x² - 3

y = 0² - 3

y = 0 - 3

y = -3

(0, -3)

1:

y = x² - 3

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2:

y = x² - 3

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I will give brainliest
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Step-by-step explanation:

Part - A = mark, 2 on X axis and 5 on Y axis

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Answer:

*Brainliest would be appreciated.

Step-by-step explanation:

Brent plays three sports: basketball, baseball, and soccer. He calculated the mean absolute deviation of the points he scored in each season.

basketball: mean absolute deviation of 4.6

baseball: mean absolute deviation of 3.5

soccer: mean absolute deviation of 1.2

In which sport were his scores the most spread out?


soccer

basketball

baseball

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Answer:

basketball

Step-by-step explanation:

i took the test :)

Basketball have most spread out.

Option B is correct.

What is Standard Deviation?

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(28.5) all you would do to get that awnser is divide the number 57 since ABC creates in half of the decomposed parallelogram
28.5


this is the answer

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Answers

Answer:

9

Step-by-step explanation:

2 tickets = $14

so

1 ticket = $7

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Answer:

You can't have a single answer.

Step-by-step explanation:

An indiviual equation can't be solved if it has 2 variables.

You can, however, graph it.

The line will create all the possible sets of answers for the problem.

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Answer:

I'll help you! Answer is 3/2. It's Friday so most people aren't on Brainly doing homework lol

Step-by-step explanation:

The heaviest bag (far right) weighs 4.75 lbs, whereas the lightest bag (far left) weighs 3.25 lbs. As mixed numbers, these would be [tex]4\frac{3}{4}[/tex]  and [tex]3\frac{1}{4}[/tex]. To find how much heavier the 4.75 lb bag is, you must subtract the 2 numbers.

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Step 2. Subtract fractions like normal

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Answer:

EASY PEASY

Step-by-step explanation:

HOPE IT HELPS YOU

Answer:

[tex]9^{2}[/tex]

Step-by-step explanation:any number multiplied by itself usining an exponent is just the original number squared for example

"x" multiplied by "x" using an exponent is [tex]x^{2}[/tex]

How much space does the triangle cover?

24 square cm

16 square cm

6 square cm

48 square cm

Answers

Answer:

24 square cm

Step-by-step explanation:

Answer:

24 square cm

Step-by-step explanation:

The area is length times height divided by 2

4*12/2=24

24 square cm

56 cookies.Each cookie cost 2.95, including tax. Of the cookies she made 1/4 of them were lemon.How much money will be made if they sell the lemon cookies

Answers

1/4 of cookies

56/414cookies

Cost of one cookies =2.95

Total cost

2.95(14)$41.3

Answer:

$41.3

Step-by-step explanation:

Each cookie costs,

→ a = $2.95

Lemon cookies (1/4) of 56 cookies is,

→ b = 1/4 × 56

→ b = 56/4

→ [ b = 14 lemon cookies ]

The money made if she sell the lemon cookies alone will be,

→ a × b

→ 2.95 × 14

→ $41.3

Hence, the money made is $41.3.

a town credits the introduction of a drunl driving law for reducing fatal automobile accidents by over 50% the year it first took effect. the bar graph here shows the number of fatal automobile accidents in that town from 2000 to 2008 what year did the law first take effect

A. 2001

B. 2002

C. 2003

D. 2005

Answers

Answer: 2001

Step-by-step explanation:

Dropped from 35 to about 17.5.

The answer is 2001 because that’s when the following years sank

Pic for question below.......

Answers

Answer:

c because 30+60+90=180 which is the sum of angles of a triangle

Answer:

A. No

B. No

C. Yes(Because it's 180degree; sum of angle of traingle)

D. No

Step-by-step explanation:

Help Please I need it!!

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Answer:

The graph has a greater slope.

Step-by-step explanation:

The function has a greater slope

Order these numbers from least to greatest. 4.3211, 4.302, 4.32, 4.5​

Answers

4.302,4.32,4.3211, and 4.5
Always check the decimal places!

Answer:

4.302, 4.32, 4.3211, 4.5

Step-by-step explanation:

Order these numbers from least to greatest. 4.3211, 4.302, 4.32, 4.5​

Here we have:

4.3211

4.302, also written as 4.3020

4.32, also written as 4.3200

4.5, also written as 4.5000

Order from least to greatest:

4.3020

4.3200

4.3211

4.5000

4.302, 4.32, 4.3211, 4.5

Hope this helps!

Please help on this math IXL! How do you solve for multiplying two exponents that both have the same number and same base? please answers the question from my screenshot for 10 points thank you so much!

Answers

Answer:

its 8^8

Step-by-step explanation:

When it’s the same base you add the exponents. So it would be 8^8. A good was to check is to put it in your calculator the way it is written, then what you think it is. If it’s the same answer then you’re right!

What is the value of x in the equation 6(x+7.8) =−12?

Answers

Answer:

x = -9.8

Step-by-step explanation:

6(x+7.8) =−12

Divide each side by 6

6/6(x+7.8) =−12/6

(x+7.8) =−2

Subtract 7.8 from each side

x+7.8-7.8 = -2-7.8

x = -9.8

Answer:

-9.8

Step-by-step explanation:

First we distribute.6x+46.8=-12Subtract 46.8 on both sidesWe are left with 6x=-58.8Divide 6 on both sidesX=-9.8

A map has a scale of 1 cm : 30 km. If 2 cities are 4.7 cm apart on the map, how far apart are they in reality?

Answers

Answer:

141 Km apart.

Step-by-step explanation:

so if each 1 cm is equivalent to 30 km, we would take the 4.7 and multiply it by the 30 to get the true value.

the true value would come out to be 141 km apart.

Please mark this as brainlest.

141 miles away.

Explanation? Common sense, no?

We are given the unit rate, so we can convert it easily.

1cm = 30km, so, multiply it by 4.7 as there are 4.7cm that are present.

30km x 4.7 = 141km in real life.

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