The terms that are called means are 2 and 36
Solution:
A proportion is simply a statement that two ratios are equal
Proportion is written as:
[tex]\frac{a}{b} = \frac{c}{d}[/tex]
In ratios, we can write as,
a : b = c : d
To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.
[tex]\frac{a}{b} = \frac{c}{d}\\\\a \times d = b \times c[/tex]
Here, a and d are extremes
b and c are means
In the given proportion,
[tex]\frac{12}{36} = \frac{2}{6}[/tex]
[tex]12 \times 6 = 2 \times 36[/tex]
Here, 12 and 6 are extremes
2 and 36 are means
In the given proportion 12/36=2/6, the mean terms are 12 and 6. To verify the proportion, one can use the cross-products method, which confirms its correctness since the multiplication of means and extremes produces equal results.
Explanation:In the proportion 12/36=2/6, the terms that are known as the means are the two numbers that are on the inside of the proportion, which are 12 and 6 in this case. Proportions are made up of four terms, with the first and last terms called the extremes, and the two terms in the middle called the means. To solve a proportion and check if it is true, you can use the cross-products method, which involves multiplying the means and the extremes. If the cross-products are equal, then the proportion is true. In this example, 12 (the mean) multiplied by 2 (an extreme) is equal to 24, and 36 (the other extreme) multiplied by 6 (the mean) also gives 24, confirming that this proportion is correct.
Beach ball with diameter of 24 inches what is the volume of air in the beach ball to the nearest of a cubic foot?
Final answer:
The volume of a beach ball with a diameter of 24 inches is approximately 4.19 cubic feet, which is rounded to 4 cubic feet.
Explanation:
To find the volume of a beach ball with a diameter of 24 inches, we first need to find the radius by dividing the diameter by 2, giving us a radius of 12 inches. The formula for the volume of a sphere is V = (4/3) * π * r^3, where V is the volume and r is the radius of the sphere.
Using the formula:
V = (4/3) * π * (12 inches)^3
V = (4/3) * π * 1,728 cubic inches
V ≈ 7,238 cubic inches (rounded to the nearest whole number)
Now, we need to convert cubic inches to cubic feet since 1 cubic foot equals 1,728 cubic inches.
V = 7,238 cubic inches / 1,728 cubic inches per cubic foot
V ≈ 4.19 cubic feet
Rounded to the nearest cubic foot, the volume of air in the beach ball is approximately 4 cubic feet.
The following table shows the consumer price index(CPI) for a fictional country from 1992-2000.during which of these time periods was there a period deflation?please help!!!!!!!!!!!!!!!!!
Answer:
d) 1998 to 2000
Step-by-step explanation:
Consumer price index (CPI) is an economic indicator that shows the average change in prices of items, goods and services. Basically, if CPI is increasing over a period of time that means that there is inflation, and if it decreases that means that there is deflation (lowering of prices).
Now, looking at our table, we see that:
- 1992-1994: CPI increased from 44.3 to 58.2 -> inflation
- 1994-1996: CPI increased from 58.2 to 65.9 -> inflation
- 1996-1998: CPI increased from 65.9 to 70.4 -> inflation
- 1998-2000: CPI decreased from 70.4 to 69.1 -> deflation
Answer:
The correct answer is D. 1998 to 2000
Step-by-step explanation:
Two friends share 7 cookies equally. How many cookies does each friend get? Fraction
Answer:
Each friend gets 3 1/2 cookies each.
The first Ferris wheel was built in 1893 in Chicago. It's diameter was 250 feet. How many feel did the Ferris wheel rotate with one complete turn?
The wheel covered 785 feet in one complete turn
Solution:
Given that, The first Ferris wheel was built in 1893 in Chicago
Diameter of wheel = 250 feet
Let us find the radius of wheel
[tex]Radius = \frac{diameter}{2}\\\\Radius = \frac{250}{2}\\\\Radius = 125[/tex]
Thus radius of wheel is 125 feet
We have to find the distance covered in one complete turn
The number of feet the wheel rotated in one turn is equal to its circumference
The circumference of circle is given as:
[tex]C = 2 \pi r[/tex]
Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14
Substituting the values we get,
[tex]C = 2 \times 3.14 \times 125\\\\C = 785[/tex]
Thus the wheel covered 785 feet in one complete turn
3x + 14 • 3 = 2x - 15 • 3
Answer:
x=-29
Step-by-step explanation:
Answer:
3x + 42 = 2x - 45 (subtract 2x by bringing it to the other side)
1x + 42 = -45
1x = -45-42 (remember to change the SIGN)
1x = -87
x = -87/1
x = -87
Drag the amounts to order them from greatest to least.
1 in. = 2.54 cm
1 ft = 12 in.
A 20 in.
B 1.8 in.
C 56 cm.
Answer:
answer is c i did the test
Step-by-step explanation:
Find the difference
83456 - 728.88
Final answer:
To find the difference between 83456 and 728.88, subtract the second number from the first, resulting in the answer 82727.12.
Explanation:
To find the difference between the two numbers 83456 and 728.88, we simply subtract the second number from the first:
Write the numbers in a vertical column, aligning the digits by place value.
Perform the subtraction, starting from the rightmost digits (the ones place) and moving to the left, borrowing as needed.
Subtract each digit in the smaller number from the corresponding digit in the larger number.
83456
- 728.88
_______
82727.12
The difference is 82727.12.
Hardy is packing his book collection into a box. Each book measures 4inches by 6 inches by 1 inch. The box he uses measures 24 in by 24in by 8in.
If Hardy fills the box completely, what is the greatest number of books that fit into the box?
If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.
Thank you in advance for the help! Just a mom who hates math trying to help her kid with volume.
Answer:
1. 192 books.
2. 96 books.
3. 24 books.
Step-by-step explanation:
1. Let's find the volume of each book and the volume of the box, this way:
Volume of a book = 4 * 6 * 1 = 24 inches ³
Volume of the box = 24 * 24 * 8 = 4,608 inches ³
2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?
Greatest number of books = Volume of the box/Volume of a book
Greatest number of books = 4,608/24
Greatest number of books = 192
3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.
Greatest number of layers = Height of the box/Width of a book
Greatest number of layers = 8/1 = 8
Minimum number of layers = Height of the box/Height of a book
Minimum number of layers = 8/4 = 2
Upon saying that, we have:
Number of books per layer = Greatest number of books/Minimum number of layers
Number of books per layer = 192/2 = 96
4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.
Number of books per layer = Greatest number of books/Number of layers
Number of books per layer = 192/8
Number of books per layer = 24
Note: Same answer to question 14559894, answered by me today.
Final answer:
The greatest number of books Hardy can fit into the box is 192. With the least number of layers and the box completely filled, there would be 24 books on the bottom layer. And if there are 8 layers of books in the box, there would be 24 books in each layer.
Explanation:
Hardy is packing books into a box and wants to maximize the number of books while also considering different arrangements. The dimensions of each book are 4 inches by 6 inches by 1 inch, and the dimensions of the box are 24 inches by 24 inches by 8 inches. The volume of a book is 4in x 6in x 1in = 24in³, and the volume of the box is 24in x 24in x 8in = 4,608in³. Therefore, the greatest number of books that fit into the box is the volume of the box divided by the volume of one book, which gives us 4,608in³ / 24in³ = 192 books.
If Hardy fills the box completely with the least number of layers, he would place the books so that the largest book dimensions are aligned with the box's. This means laying the books down in layers where each layer measures 24in by 24in. Since each book has a 6-inch side, we can fit four books along the width of the box (24in / 6in = 4 books), and similarly, we can fit six books along the length of the box (24in / 4in = 6 books), resulting in 4 x 6 = 24 books on the bottom layer.
If Hardy fills the box completely with 8 layers of books, he is dividing the height of the box by the height of a book (8in / 1in = 8 layers). In this case, since there are 24 books per layer (as calculated previously), and there are 8 layers, it means there are still 24 books in each layer.
which ordered pair is the solution to the system of linear equations -5x+y=26 and 2x-7y=16
A.(-4 6)
B.(6 -4)
C. (-4 -6)
D (-6 -4)
Answer:
D(-6,-4)
Step-by-step explanation:
-5x + y = 26
2x - 7y = 16
-5x/-5 = 26-y/-5
x = -26/5 + y/5
2(-26/5 + y/5) = 7y = 16
-52/5 + 2y/5 = 16 + 52/5
-33y/5 = 80/5 + 52/5
-33y/5 = 132/5
-33y = 132
y = -4
2x - 7(-4) = 16
2x + 28 = 16
2x = -12
x = -6
What is the area of a square with a perimeter of 12 feet?
Seven years ago Maya opened a savings
account with her bank. She started with a
balance of $218. If her interest rate is 6%
per year, how much interest has accrued
using simple interest? What is Maya's
new total balance?
Answer:
accrued interest: $91.56total balance: $309.56Step-by-step explanation:
The amount of simple interest is ...
I = Prt = $218·0.06·7 = $91.56
The total account balance is this amount added to the original deposit:
$218.00 + 91.56 = $309.56
8. Water flows out of a hose at a constant rate. After 2 minutes, 97 gallons of water have come
se. At what rate, in gallons per minute, is water flowing out of the hose?
Answer:
48.5 gal/min
Step-by-step explanation:
I used a ratio to solve this problem.
If 97 gallons flow in 2 minutes, the ratio is 97/2
To find the flow per one minute, the ratio is x/1
You can then cross multiply to get 97=2x
When solved, this gives you 48.5 gal/min.
To check, you can multiply x2.
PLEASEEEE HELPPP MEEE!!!! (15 PTS!)
can you use the commutative property for 12x²-3x+5 and x³-2x²+7 or not?? that's all i wanna know! =(
Answer:
332324
Step-by-step explanation:
b4hbf3hkrbf;h3bfh3bfc;khjbr3fkhbn;vb 4;khvcj3nc
Question 4 (2 points)
Determine if the following statements are always, sometimes, or never true.
Answer:
1. sometimes true
A rhombus is a quadrilateral with all equal size and length. A square is a quadrilateral with all equal size and length, and all right angles around bus, however, can be a square if it has right angles.
2. always true
A square has to have all equal sides and all right angles, however, a rectangle has to have right angles and opposite sides are equal to each other. So if a square has equal sides, it can be considered a rectangle since both opposite sides are equal
3. sometimes true
A parallelogram is a quad roulette or with parallel and equal opposite sides, and a rectangle has right angles and equal opposite sides, therefore, if the parallelogram has right angles, then it is considered a rectangle
4. always true
A quadrilateral has to have 4 sides and the rectangle has 4 sides there, for it is considered a quadrilateral
5. never true
A parallelogram is a quadrilateral, therefore, it has to have 4 sides, but a hexagon has to have 6 sides, therefore, it is never a hexagon
What is the magnitude of force required to accelerate a car
of mass
1.7 x 10^3 kilograms by 4.75 meters/second^2?
A. 3.6 x 102 newtons
B. 1.7 x 103 newtons
C. 8.1 x 103 newtons
D. 9.0 x 103 newtons
Answer:
8.71 x 10^3N - C
Step-by-step explanation:
Force = mass x acceleration
mass = 1.7 x 10^3 and acceleration = 4.75m/s^2
Force = 1.7 x 10^3 x 4.75 = 8075N = 8.71 x 10^3N
Answer:
8,075N
Step-by-step explanation:
The information we have is:
Mass:
[tex]m=1.7x10^3kg[/tex]
Acceleration:
[tex]a=4.75m/s^2[/tex]
We are asked to find the force that is necessary to create that acceleration in the given mass.
For this we use the equation of Newton's second law:
[tex]F=ma[/tex]
and now we susbtitute all the values into the equation to find the force [tex]F[/tex]:
[tex]F=(1.7x10^3kg)(4.75m/s^2)\\F=8,075N[/tex]
The magnitude of the force required is 8,075N
Consider the following system of equations and their graph as picture
Answer:
(-2,5) and (7,23)
Step-by-step explanation:
we have
[tex]y=x^{2} -3x-5[/tex] ---> equation A
[tex]y=2x+9[/tex] ---> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
Using a graphing tool
The intersection points are (-2,5) and (7,23)
see the attached figure
therefore
The solutions are (-2,5) and (7,23)
The solution points are [tex](-2,5)[/tex] and [tex](7,23)[/tex].
It is given equations are,
[tex]y=x^2-3x-5[/tex][tex]y=2x+9[/tex]Explanation:
From the given graph it is clear that the curve and line intersect each other at two points. These points are the solutions for the given system of equations.
The graph of line and curve intersect each other at [tex](-2,5)[/tex] and [tex](7,23)[/tex].
Thus, the solution points are [tex](-2,5)[/tex] and [tex](7,23)[/tex].
Learn more:
https://brainly.com/question/14300335
ating a Line with a Positive Slope
A line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all that apply.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)
Answer:
The points (12,3), (-2,-5) and (1,15) through which the line can pass.
Step-by-step explanation:
A line passes through the point (0, –1) and has a positive slope.
(i) The slope of the line passing through the points (0,-1) and (12,3) will be
[tex]\frac{- 1 - 3}{0 - 12} = \frac{1}{3} > 0[/tex]
(ii) The slope of the line passing through the points (0,-1) and (-2,-5) will be
[tex]\frac{- 1 + 5}{0 + 2} = 2 > 0[/tex]
(iii) The slope of the line passing through the points (0,-1) and (- 3,1) will be
[tex]\frac{- 1 - 1}{0 + 3} = - \frac{2}{3} < 0[/tex]
(iv) The slope of the line passing through the points (0,-1) and (1,15) will be
[tex]\frac{- 1 - 15}{0 - 1} = 16 > 0[/tex]
(v) The slope of the line passing through the points (0,-1) and (5,-2) will be
[tex]\frac{- 1 + 2}{0 - 5} = - \frac{1}{5} < 0[/tex]
Therefore, the points (12,3), (-2,-5) and (1,15) through which the line can pass. (Answer)
Answer:
A, B, D
Step-by-step explanation:
just took it on edg
I need help please help
Answer:
B
Step-by-step explanation:
Substitute the value of (2,1) into the equations, and you find that only B works.
A baker has 10 cups of sugar to make cookies. Each batch calls for 113 cups of sugar.
How many batches of cookies can he make?
Enter your answer, as a mixed number in simplest form, in the box.
The number of batches of cookies made is [tex]7\frac{1}{2}[/tex]
Solution:
Given that, baker has 10 cups of sugar to make cookies
Each batch calls for [tex]1\frac{1}{3}[/tex] cups of sugar
To find: Number of batches of cookies can be made
From given information,
Total number of cups of sugar = 10
Cups of sugar for 1 batch = [tex]1\frac{1}{3} = \frac{3 \times 1 + 1}{3} = \frac{4}{3}[/tex]
Therefore, number of batches of cookies can be made is found by dividing the total number of cups of sugar by cups of sugar for 1 batch
Thus we get,
[tex]\text{Number of batches of cookies can be made} = \frac{\text{Total number of cups of sugar}}{\text{Cups of sugar for 1 batch}}[/tex]
Substituting the values, we get
[tex]\text{Number of batches of cookies can be made} = \frac{10}{\frac{4}{3}}\\\\\text{Number of batches of cookies can be made} = 10 \times \frac{3}{4}\\\\\text{Number of batches of cookies can be made} = \frac{15}{2}\\\\\text{In mixed form, we get }\\\\\rightarrow \frac{15}{2} = 7\frac{1}{2}[/tex]
Thus number of batches of cookies made is [tex]7\frac{1}{2}[/tex]
Marlene only has enough ingredients to make a 1/4 batch of cookies. For the smaller batch, she only needs 2/3 cup of sugar. How much sugar does the recipe for a full batch of cookies call for? Include all your work in your answer.
Answer:
A full batch of cookies will require [tex]\hspace{0.15cm} \frac{8}{3} cup \hspace{0.15cm}of\hspace{0.15cm} \hspace{0.15cm} sugar,\hspace{0.15cm} or \hspace{0.15cm}2\hspace{0.15cm}whole\hspace{0.15cm} cups\hspace{0.15cm} and \hspace{0.15cm} \frac{2}{3} cup\hspace{0.15cm} of \hspace{0.15cm}sugar.[/tex]
Step-by-step explanation:
i) [tex]\hspace{0.15cm}\frac{1}{4} batch \hspace{0.15cm}of \hspace{0.15cm}cookies\hspace{0.15cm} requires\hspace{0.15cm} \frac{2}{3} cup \hspace{0.15cm}of\hspace{0.15cm} sugar[/tex]
ii) multiplying the above by 4 we get
[tex]\hspace{0.15cm}(4\times\frac{1}{4}) batch \hspace{0.15cm}of \hspace{0.15cm}cookies\hspace{0.15cm} requires\hspace{0.15cm}( 4 \times\frac{2}{3} )cup \hspace{0.15cm}of\hspace{0.15cm} sugar[/tex]
iii) Therefore [tex]\hspace{0.15cm}1 batch \hspace{0.15cm}of \hspace{0.15cm}cookies\hspace{0.15cm} requires\hspace{0.15cm} \frac{8}{3} cup \hspace{0.15cm}of\hspace{0.15cm} sugar[/tex]
iv) Therefore a full batch of cookies will require [tex]\hspace{0.15cm} \frac{8}{3} cup \hspace{0.15cm}of\hspace{0.15cm} \hspace{0.15cm} sugar,\hspace{0.15cm} or \hspace{0.15cm}2\hspace{0.15cm}whole\hspace{0.15cm} cups\hspace{0.15cm} and \hspace{0.15cm} \frac{2}{3} cup\hspace{0.15cm} of \hspace{0.15cm}sugar.[/tex]
Ramesh bought 63 oranges for RM34.65. The oranges were packed in small packets with 3 oranges in each packet. Calculate the price Ramesh sold for each packet of oranges if he had made a profit of RM51.45 after he sold all the oranges.
Answer:
He sold a packet for RM4.1
Step-by-step explanation:
number of Oranges = 63
Bought Oranges for. = RM 34.65
Number of packets. = 63/3
= 21
profit. = RM 51.45
the value that he sold a packet =
[tex] \frac{34.65 + 51.45}{21} = \frac{86.1}{21} = rm4.1[/tex]
Will mark brainliest and 10 points
Answer:
Student 3
Step-by-step explanation:
Part of the 3-4-5 Pythagorean triples.
Correctly solve 7-4.59 with explanation step by step
Answer:
2.41
Step-by-step explanation:
First you make 7 a decimal that matches 4.59. if you understand decimals then you know its 7.00. after that you just subtract. borrow is necessary in this problem.
To solve 7-4.59, subtract 4.59 from 7 to get 2.41.
Explanation:To solve 7-4.59, we need to subtract 4.59 from 7.
Step 1: Write down the subtraction problem: 7-4.59
Step 2: Subtract the ones place value: 7 - 4 = 3
Step 3: Subtract the tenths place value: 0 - 5 = -5
Step 4: Combine the values: 3 - 0.59 = 2.41
Therefore, 7 - 4.59 equals 2.41.
What is (6 x 10^2) divide (3x10^-5) in standard form?
Thank you.
Answer:
Step-by-step explanation:
[tex]\frac{6*10^{2}}{3*10^{-5}}=2*10^{2}*10^{5}\\\\=2*10^{(2+5)}=2*10^{7}[/tex]
What is the answer to 2(4x-3)-8= 4+2x
Answer:
The answer to the given equation is x=3
Step-by-step explanation:
Given equation is 2(4x-3)-8=4+2x
To find the answer for the given equation :
2(4x-3)-8=4+2x
Using the distributive property a(x+y)=ax+ay
2(4x)+2(-3)-8=4+2x
8x-6-8=4+2x
8x-14=4+2x
Subtracting (4+2x) on both sides we get
8x-14-(4+2x)=4+2x-(4+2x)
8x-14-4-2x=4+2x-4-2x ( by distributive property )
8x-2x-14-4=4-4-2x+2x ( combinig like terms on both sides)
6x-18=0
6x=8
[tex]x=\frac{18}{6}[/tex]
Therefore x=3
Therefore the answer to the given equation is x=3
What is 7 and 1/2 plus 9 and 1/4
Answer:
16.75
Step-by-step explanation:
7.5+9.25=16.75
Line up the digits and use traditional algorithm.
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
156 square inches
182 square inches
208 square inches
364 square inches
If you read the question you can find that the question is incomplete. By googling it you can find the complete question here: https://brainly.com/question/11917098.
The area of the window is 182 square inches.
Option: B.
Step-by-step explanation:
From the given data, we are given with the length of the upper side of the trapezoid, the right side's bottom excluded the length upper side's length and height of the trapezoid.
Area of an isosceles trapezoid = [tex]\frac{1}{2}[/tex]( a+b) h.
where a is the length of upper side of the trapezoid, b is the length of lower side of the trapezoid and h is the height of the trapezoid.
a= 12 inches.
h= 13 inches.
We are given only with the right side's length of base excluding the length of upper side.
So we have to calculate b= left side + upper side+ right side.
b= 2+12+2.
b= 16 inches.
Area of an isosceles trapezoid = [tex]\frac{1}{2}[/tex] (12+16)(13).
= [tex]\frac{1}{2}[/tex] (28)(13).
= 14(13).
= 182 square inches.
∴ Area of the window= 182 square inches.
please help!!!!!!!!!!
Answer:
1-c
2-b
3-a
Step-by-step explanation:
1. 7y=14
y=2
-7y=-14
y=2
so the equation has one solution
2. 0=0
so the equation has infinite solution
3. 0=2 false
so the equation has no solution
1 solution
8x+7y=30
8x-7y=2
infinitely many solutions
-8x+7y=-2
8x-7y=2
no solution
8x-7y=2
-8x+7y=2
Explanation
The number of solutions of a pair of linear equations are determined by the following criteria
1 solution
-[tex]a1/a2 \neq b1/b2[/tex]
in the first pair [tex]a1/a2=8/8=1[/tex]
[tex]b1/b2=7/-7=-1[/tex]
therefore [tex]a1/a2 \neq b1/b2[/tex]
infinitely many solution
[tex]a1/a2=b1/b2=c1/c2[/tex]
In the second pair of equations -8x+7y+2=0 and 8x-7y-2=0
[tex]a1/a2=-8/8=-1\\b1/b2=7/-7=-1\\c1/c2=2/-2=-1[/tex]
since [tex]a1/a2=b1/b2=c1/c2[/tex], the pair of equations have infinitely many solutions
no solution
[tex]a1/a2=b1/b2\neq c1/c2[/tex]
in the third pair of equation
[tex]a1/a2=8/-8=-1\\b1/b2=-7/7=-1\\c1/c2=-2/-2=1[/tex]
Here [tex]a1/a2=b1/b2\neq c1/c2[/tex]
12+b=
26
Solve by using substitution
Answer:
14
Step-by-step explanation:
12+b=26
b=26-12
b=14
Answer:14
Step-by-step explanation:You first want to do 12+12 because that =24 and then keep on adding until u get 26
Awodden doll of height 8cm is made of with a pyramid of slant height 5cm on its upper part and a prism of base 6×6 on its lower part. if all the faces of the doll is painted at the rate of Rain 200 per cm^2, what will be the total cost? Find it.
Answer:
Total cost of painting the pyramid including the base = 19,200
Total cost of painting the pyramid excluding the base = 12,000
Step-by-step explanation:
Data provided in the question:
Height of the doll = 8 cm
Slant height of the pyramid, s = 5 cm
Base dimensions = 6 × 6
Cost of painting = 200 per cm²
Now,
Area of the base = 6 × 6 = 36 cm²
Area of the Pyramid = Area of the base + [tex]\frac{1}{2} \times P\times s[/tex]
here,
P is the perimeter of the base = 4 × side
= 4 × 6
= 24 cm
Thus,
Area of the Pyramid = 36 + [tex]\frac{1}{2} \times24\times 5[/tex]
or
Area of the Pyramid = 36 + 60 = 96 cm²
Total cost of painting the pyramid including the base = 96 cm² × 200
= 19,200
Total cost of painting the pyramid excluding the base = 60 cm² × 200
= 12,000