A square pyramid on top of a rectangular prism. The rectangular prism has a length of 4 meters, width of 4 meters, and height of 4 meters. The square pyramid has triangular sides that have a height of 3 meters and side length of 5 meters. Compare the surface area of the composite figure to the surface area to the combined surface areas of the figures if they were separated. The composite surface area would be the surface area of the rectangular prism plus the surface area of the square pyramid considered separately. You should not count the pyramid’s as part of the composite figure’s surface area.

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:

3, 6, 4, 2

Step-by-step explanation:

The factors of 86784 are :

1 * 86784

2 * 43392

3 * 28928

4 * 21696

6* 14464

Answer:

mark me brainlist please

Answer:

E commerce , E learning , Online games

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

Answer:

Theater

Step-by-step explanation:

MAD stands for Mean Absolute Devastation, which is the average difference between numbers/data.

Answer:22x+2

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

Answer: 22x+2

Hope it helps!!!

Answer:

  √689 ≈ 26.2 leagues

Step-by-step explanation:

For the purpose of calculating the distance between the marked points, the line is considered to be the hypotenuse of a right triangle. The horizontal distance between the points is one leg of the triangle, and the vertical distance is the other leg. The Pythagorean theorem relates these distances.

The Pythagorean theorem relates right triangle sides 'a' and 'b' to hypotenuse 'c' with the formula ...

  c² = a² +b²

Taking the square root, we have an expression for 'c' in terms of 'a' and 'b'.

  c = √(a² +b²)

The horizontal distance between the points is the difference of their x-coordinates:

  a = x2 -x1 = 2 -(-18) = 20

The vertical distance between the points is the difference of their y-coordinates:

  b = y2 -y1 = -10 -7 = -17

When we square these numbers, we find their signs to be irrelevant.

  c = √(a² +b²) = √(20² +(-17)²) = √(400 +289) = √689

  c ≈ 26.249

The distance between the given points is about 26.2 leagues.

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.

4 miles per hour

Unit rate is the rate of something per 1 unit. In other words, the unit rate is x units per 1 unit. In this situation, the unit rate is how many miles Hassan walks in 1 hour.

Proportion

First, to find the rate of anything we can set up a proportion. In the question, the rate is described as miles per hour, so the miles will be the numerator and the hours will be the denominator.

So, the rate we are given is 12/3.

Unit Rate

To find the unit rate we need to make the denominator equal to 1. To do this, divide both the numerator and denominator by 3.

So, this means that the new proportion is 4/1. Next, we can add our units, which means that Hassan walks 4 miles per 1 hour.

Graph

Now we can resize the bar graph. The purple bar should be set to 4 because this represents the miles. Then, the green bar should be set to 1 because it represents the hours.

Answer:

444

Step-by-step explanation:

444 is answer. it is very easy. 444/6= 74

the dot above the -2 is not solid so -2 is not part of the solution.

Answer: a) x < -2

Answer:

A

Step-by-step explanation:

Open dot means less than or greater than not equal to

Have a nice day :)

Answer:

khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvbnbvnbvbnbvbnbvbn

Step-by-step explanation because khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvnbvnbvbnbvbnbvbn = mhgcmgfmgcvbnvmbnbmvmbvnbvmnbvmbv

its rational - 5.78 = 5.787878.

D.

explanation:

We have been given a number 5.78. We are asked to choose the correct statement which shows that 5.78 is a rational number.

Upon looking at our given choices, we can see that only option A is the correct choice as it has repeating digits (78) after decimal.

We know that a number with repeating decimals can be written as a fraction, therefore, option D is the correct choice.

Answer:

hello

Step-by-step explanation:

its D

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:

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:

4 of each

Step-by-step explanation:

1.50 x 4 =6

.50 x 4 =2

he bought 4 folders and 4

Area = PI x radius^2

The diameter is given as 25 inches, the radius is 1/2 the diameter.

Radius = 25/2 = 12.5 inches

area = 12.5^2 x 3.14

Area = 490.625 square inches

Answer:

Top left and right

Step-by-step explanation:

simply multiply the first number of Y with X

Hope this helps

Answer:

D) 22x + 99

Step-by-step explanation:

9 (2x+9) + 2(2x + 9)

18x + 81 + 4x + 18

22x + 81 + 18

22x + 99

Answer:

Step-by-step explanation:

Let's convert one of these measurements so that both measurements have the same units.  15 m/sec is equivalent to 0.015 km/sec, which in turn is equivalent to

0.015     km      3600 sec  

--------- --------  ----------------- = 54 km/hr

    1        sec       1 hr

This latter result (54 km/hr) is faster than (40 km/hr).

Answer:

5

Step-by-step explanation:

seven point two and 9 imches