Marco is preparing sales kits for his sales representatives to show to customers. He has 6
samples of tile and 12 samples of carpet, and he wants to create identical sales kits, with no
samples left over. What is the greatest number of sales kits Marco can prepare?
sales kitsp

Answer:

1372 cubic ft.

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi 7^3[/tex]

[tex]V=\frac{4}{3} \pi 343[/tex]

[tex]V=457\frac{1}{3} \pi[/tex]

Since pi is 3 to find the approximate answer, do:
[tex]V=457\frac{1}{3} (3)[/tex]

[tex]V=1372[/tex]

Hence, the volume of the sphere is approximately 1372 cubic ft.

Answer:

V = 1,372 ft³

Step-by-step explanation:

You have been given the equation necessary for calculating the volume of a sphere:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

In this formula, "V" represents the volume, "π" is the given value (3), and "r" is the radius. While you have not been given the radius, you have been given the diameter (14 ft). The radius is half of the diameter.

radius = diameter / 2

radius = 14 ft / 2

radius = 7 ft

Now, you can plug this value into the formula and simplify to find the volume.

 [tex]V = \frac{4}{3}\pi r^{3}[/tex]                                         <----- Volume formula

[tex]V = \frac{4}{3} * (3) *r^{3}[/tex]                               <----- Plug 3 in for "π"

[tex]V = \frac{4}{3} * (3) * 7^{3}[/tex]                                <----- Plug 7 in for "r"

[tex]V = \frac{4}{3} * (3) * (343)[/tex]                           <----- Solve 7³

[tex]V = 1,372 ft^{3}[/tex]                                   <----- Multiply all the terms together

Answer:

1. 660.52

2. 572.56

3. 283.53

4.254.47

5. 63.62

6. 380.13

Step-by-step explanation:

do πr²

r = radius

if you have a diameter like question 4 divide by 2 and you get radius

Answer:

1. A = 660.52 square units. C = 91.11 units.

2. A = 572.56 square units. C = 84.82 units.

3. A = 283.53 square units. C = 59.69 units.

4. A = 254.47 square units. C = 56.55 units.

5. A = 63.62 square units. C = 28.27 units.

6. A = 380.13 square units. C = 69.12 units.

Step-by-step explanation:

The equations for Area and Circumference of a circle are as follows:

You are given the radius (or diameter) of each circle which can be substituted into the above equations for r. Diameter is the entire length across the circle through the center, which is equal to 2(r).

1. A = π(14.5)² = 660.5198. The area is approx. 660.52 square units.

C = 2π(14.5) = 91.106. The circumference is approx. 91.11 units.

2. A = π(13.5)² = 572.555. The area is approx. 572.56 square units.

C = 2π(13.5) = 84.823. The circumference is approx. 84.82 units.

3. A = π(9.5)² = 283.528. The area is approx. 283.53 square units.

C = 2π(9.5) = 59.690. The circumference is approx. 59.69 units.

4. Diameter = 18; 18/2 = 9 = r. So, A = π(9)² = 254.469. The area is approx. 254.47 square units.

C = 2π(9) = 56.548. The circumference is approx. 56.55 units.

5. r = 9/2 = 4.5. So, A = π(4.5)² = 63.617. The area is approx. 63.62 square units.

C = 2π(4.5) = 28.274. The circumference is approx. 28.27 units.

6. A = π(11)² = 380.132. The area is approx. 380.13 square units.

C = 2π(11) = 69.115. The circumference is approx. 69.12 units.

Answer:

Step-by-step explanation:

Answer: y = 1/5x + 2

Check out the workings I have done in the document I have uploaded :)

Answer:

1. Left side = 3 inches, Bottom side = 4 inches, Right side = 2 inches, Top side = 5 inches

2.  A = 6 inches²

3.  A = 8 inches²

4.  A = 10 inches²

5.  A = 12 inches²

6.  A = 36 inches²

7. Left side = 5 cm, Bottom side = 12 cm, Right side = 4 cm, Top side = 13 cm

8. A = 180 cm²

Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

2. Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 3 x 2

A = 6 inches²

3. Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 4 x 2

A = 8 inches²

4. Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 2

A = 10 inches²

5. (They gave the formula of the two triangles, but the question said green rectangle?  They must've meant yellow triangles)

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 3 x 4)

A = 2(1/2 12)

A = 2(6)

A = 12 inches²

6. Total surface area of the triangular prism:

Formula:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 6 inches² + 8 inches² + 10 inches² + 12 inches²

A = 36 inches²

7. Label the dimensions of the prism:

Left side = 5 cm

Bottom side = 12 cm

Right side = 4 cm

Top side = 13 cm

8. Total surface area of the triangular prism:

First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 4

A = 20 cm²

Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 5 x 12)

A = 2(1/2 60)

A = 2(30)

A = 60 cm²

Total surface area of the triangular prism:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 20 cm² + 48 cm² + 52 cm² + 60 cm²

A = 180 cm²

Answer:

A rectangular prism has six faces, commonly referred to as the base, top and four sides. The base and top always have the same area as do pairs of opposite sides

Step-by-step explanation:

Answer:

the base and the top, along with the opposite sides

Step-by-step explanation:

A rectangular prism has six faces, commonly referred to as the base, top, and four sides. The base and top always have the same area as do pairs of opposite sides.

Answer:

76

Step-by-step explanation:

(5x4x2)+(6x2x3)

Answer:

76 ft^3

Step-by-step explanation:

What is the volume of this figure?

these are two cuboids side by side, Volume = L * W * h, we find the volume of both and then we add.

4 * 2 * 8 = 64 ft ^ 3

2 * 2 * 3 = 12 ft ^ 3

64 + 12 =

76 ft ^ 3 (your answer)

Answer:

65.94 in³

Step-by-step explanation:

First, we need to determine to the shape, a party hat is a cone.

The volume formula that use to calculate the cone is 1/3hπr².

Notice: h is for height and r is for radius

Using this formula, we can easily set up the equation below:

1/3 · 7 · 3.14 · (6/2)²  = 65.94 (cubic inches)

You must halved the diameter first (in this case, 6) and then square it.

So: The answer of this question is 65.94 in³

Answer:

the answer is 0.5

Step-by-step explanation:

11/2=5.5

6-5.5=0.5

Answer: Heyaa! ~

Your Answer is... 4.5 or in exact form its, 9/2

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Hopefully this helps you! ^^

Answer:

4 of each

Step-by-step explanation:

1.50 x 4 =6

.50 x 4 =2

he bought 4 folders and 4

Answer:

x=-8.5

Step-by-step explanation:

Combine like terms:

9+8=-4x+2x

Solve:

17=-2x

Divide:

17/-2=x

-8.5=x

Hope this Helps!

Answer:

your answer is x=-8.5

Step-by-step explanation:

Answer:

V = 4000 cm^3

Step-by-step explanation:

The volume of the sphere is given by

V = 4/3 pi r^3

We are given the radius of 10 and are to use 3 for pi

V = 4/3 (3) * (10)^3

V = 4/3 *3 * 1000

V = 4000 cm^3

Answer:22x+2

Step-by-step explanation: and th x's and y's

Answer: 22x+2

Hope it helps!!!

[tex]\rightarrow \sf 2x(x-4)(x+6)[/tex]

[tex]\rightarrow \sf (2x^2-8x)(x+6)[/tex]

[tex]\rightarrow \sf 2x^3 + 12x^2 - 8x^2 -48x[/tex]

[tex]\rightarrow \sf 2x^3 + 4x^2 -48x[/tex]

As there are three terms, the above polynomial is a cubic trinomial.

Answer:

1092

Step-by-step explanation:

(12x34) x 2 + (12x3) x2 + (34x3) x2 = 408 x 2 + 36 x 2 + 102 x 2

=816 + 72 + 204

= 1092

(the numbers in brackets are the "net" areas)

Answer:

90 square kilometers

Step-by-step explanation:

1. split the figure in small definite sections

2. find the areas of the smaller sections.

3. find the sum of the areas.

Answer:

See below

Step-by-step explanation:

9000/100=90

1680/20=84

84000/1000=84

2700/30=90

720/10=72

Answer: 3

Step-by-step explanation: Rearrange the numbers ascendingly - 2, 3, 3, 3, 5, 6, 7, 10

3 is in the middle, so 3 is the median.

Answer:

4

Step-by-step explanation:

put them in order: 2, 3, 3, 3, 5, 6, 7, 10

the two in the middle are 3 and 5. Between 3 and 5 is 4.

Answer:

1 3 4 5 6 7 8 10

Step-by-step explanation:

the numbers 7,8,9,0 represent 8th graders and the groups 1 3 4 5 6 7 8 10 all contain at least one of the numbers while the others groups dont meaning they are no 8th graders in groups 2 or 9

Answer:

khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvbnbvnbvbnbvbnbvbn

Step-by-step explanation because khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvnbvnbvbnbvbnbvbn = mhgcmgfmgcvbnvmbnbmvmbvnbvmnbvmbv

Answer:

Let [tex]\pi[/tex] represent 3.14
SA = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
SA = 2[tex]\pi[/tex](5)^2 + 2[tex]\pi[/tex](5)(12)
SA = 2[tex]\pi[/tex](25) + 2[tex]\pi[/tex](60)
SA = 50[tex]\pi[/tex] + 120[tex]\pi[/tex]
SA = 50(3.14) + 120(3.14)
SA = 157 + 376.8
SA = 533.8inch^2

Therefore the surface area of the cylinder is 533.8 square inches.

Answer: Let  represent 3.14SA = 2r^2 + 2rhSA = 2(5)^2 + 2(5)(12)SA = 2(25) + 2(60)SA = 50 + 120SA = 50(3.14) + 120(3.14)SA = 157 + 376.8SA = 533.8inch^2

Answer: adjacent and complimentary

Step-by-step explanation:

adjacent because they are next to each other and complimentary because they together make 90 degrees

Answer:

The answers are B and D, I did this one.

Yw guys

Answer:

E commerce , E learning , Online games

Answer:

101

Step-by-step explanation:

3^4 = 3 * 3 * 3 * 3 = 81

4 ⋅ 5 = 4 * 5 = 20

3^4 + 4 ⋅ 5

= 81 + 20

= 101

Answer:

If I am correct, I think the surface area is 448.

Step-by-step explanation:

First start by finding the area of all the sides

Front side. 12 x 10 = 120

2 triangle sides: 8 x 10 = 80, 80 x 2 = 160

Bottom side: 6 x 12 = 72

Back side: 8 x 12 = 96

Then add up the surface area

120 + 160 + 72 + 96 = 448

Btw I don't know if I am correct, but I think this is the way you find surface area.

Answer:

7/10 or 70%

Step-by-step explanation:

There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.

These are the results that qualify as having at least two T's.

1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH

That is 7 out of the 10 results which is 7/10 or 70%

Answer:

The answer would be 16

Step-by-step explanation:

4x4 =16

Hope this helps!

Answer:

Sixteen dollars

Step-by-step explanation:

you multiply four times four since that's the amount of granola you want times the cost that would be sixteen