Fabricio recibe el encargo de preparar 1000 moldes en forma de pirámide hexagonal regular de 10 cm de lado x 30 cm de altura. Además, le han pedido barnizar cada uno de los moldes por dentro y por fuera. Si el galón de barniz rinde para 45 m2, ¿Cuántos galones se requerirán para barnizar los moldes? ¿Cuál será la capacidad en litros de cada molde? a) 2 galones y 1500 litros b) 3 galones y 2200 litros c) 4 galones y 2568 litros d) 5 galones y 2600 litros

Answers

Answer 1

Answer:

a) 2 galones y 1500 litros

Step-by-step explanation:

La fórmula para el área de la superficie lateral de una pirámide hexagonal regular =

A = 3a × √ (h² + 3a² / 4)

Donde a = longitud lateral o borde de la base de la pirámide hexagonal = 10 cm

h = altura de la pirámide hexagonal = 30cm.

Resolviendo para 1 molde

A = 3 × 10 × √ (30² + 3 × 10² / 4)

A = 936,7497 cm²

Esto significa que Fabricio tiene que cubrir 936.7497cm² de 1 molde con barniz.

En la pregunta se nos dice que:

1 galón de barniz rinde o cubre 45m²

Por lo tanto, convertimos el área de la superficie de 1 molde a m²

1 cm² = 0,0001m²

936.7497cm² =

936.7497cm² × 0.0001m² / 1 cm²

= 0.09367497m²

Por tanto, si

45m² = 1 galón de barniz

0.09367497m² = x galón

x galón = 0.09367497m² / 45 m²

= 0.002081666 galones

Esto significa que 0,002081666 galones barnizarán 1 molde.

Recuerda, en la pregunta, nos dicen que Fabricio está barnizando 1000 moldes

Si. 1 molde = 0.002081666 galón de barniz

1000 moldes

1000 × 0,002081666

= 2.081666 galones de barniz

Aproximadamente = 2 galones de barniz.

De ahí la capacidad en litros de cada molde = 1500 litros.


Related Questions

what is the mean of 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Answers

Answer:

This is rational number but it is non -torminating

Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer:

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsstep by step explanation :

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 110000:

x+(2x-40000)=110000

3x-40000=110000

3x=110000+40000

x=150000/3

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollars

Combine like terms: 16x+11p-4x-3p

Answers

Step-by-step explanation:

Answered... Hope you like it pls follow me.. If you like..

Answer:

Step-by-step explanation:

Like terms have same variables

16x & -4x are like terms

11p & -3p are like terms

16x + 11p - 4x -3p = 16x - 4x + 11p - 3p

                            = (16- 4)x + (11 - 3) p

                           = 12x + 8p

81 divided by 9 =

please help i do not understand this

Answers

Answer:

_______

its 9

_________

Answer:

-9

Step-by-step explanation:

9 x 9 = 81,  so

-81/9 = -9

Explain Mathematical Ideas (1)(G) A classmate questions your solution to
the problem. Use precise mathematical language to explain why your solution
is correct.

Answers

I’m saying (G)(1) would be the best anser

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a discrete quantitative variable that might be included in the brochure? number of seats type of transmission presence of a sunroof fuel efficiency (in mpg)

Answers

Answer:

The correct option is;

Number of seats

Step-by-step explanation:

A quantitative variable is a variable that has a numeric value used to describe the measured characteristic of an item

A discrete variables are countable variables within given finite amount of time

Therefore, a discrete quantitative is a countable variable that indicates the measured value of an item or feature'

In the question, the discrete quantitative variable that might be included in the brochure is Number of seats.

Answer: The number of seats

Step-by-step explanation: Because a discrete quantitative variable is a variable whose value is obtained by counting. you’re welcome:)

Melissa and Rachel like to make funny hats. Melissa has made 202020 zebra-printed hats, and Rachel has made hhh striped hats. Together they have made a total of 424242 hats. Write an equation to describe this situation.

Answers

Answer:

42= 20 +h

Step-by-step explanation:

Given from the problem statement

Melissa has made 20 zebra-printed hats

and Rachel has made h amount of striped hats

and also the total amounts of hats made by both of them is 42 hats

We can write a simple equation for the scenario as

[tex]42= 20 +h[/tex]

We can solve the equation to know the amount of hats made by  Rachel

[tex]42= 20+h\\\\h= 42-20\\\\h= 22[/tex]

Hence Rachel has made 22 hats

What is the value of the expression below when y=8 and z=8? 10y-3z

Answers

Answer:

56

Step-by-step explanation:

We are given the expression:

10y-3z

and asked to find the value when y=8 and z=8. Therefore, we must substitute 8 in for both y and z.

10(8)-3(8)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition and Subtraction.

Multiply 10 and 8.

(10*8) -3(8)

80-3(8)

Multiply 3 and 8.

80 - (3*8)

80- 24

Subtract 24 from 80.

(80-24)

56

The value of the expression 10y-3z when y=8 and z=8 is 56.

Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y

Answers

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Answer:

[tex]\Huge \boxed{8x^2 +5y+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]1+x^2-3+2y+7x^2+3+3y[/tex]

Grouping like terms.

[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]

[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]

Combining like terms.

[tex]8x^2 +5y+1[/tex]

[tex]\rule[225]{225}{2}[/tex]

These are solving proportions btw! 20/8 = 4k/32

Answers

Answer:

k = 20

Step-by-step explanation:

[tex] \frac{20}{8} = \frac{4k}{32} [/tex]

To find k first of all cross multiply

We have

32k = 640

Divide both sides by 32

That's

[tex] \frac{32k}{32} = \frac{640}{32} [/tex]

We have the final answer as

k = 20

Hope this helps you

The graph below shows y = b(x). image c138745352264c59babfe805822b4e5e Which statement BEST describes the graph? A The graph shows a function because it has an x-intercept and a y-intercept. B The graph does not show a function because the range of the graph is not all real numbers. C The graph shows a function because each element of the domain is assigned to exactly one element of the range. D The graph does not show a function because many elements of the domain are assigned to the same element of the range.

Answers

Answer:

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

Step-by-step explanation:

A The graph shows a function because it has an x-intercept and a y-intercept.

- Incorrect as functions are not x- and y- intercept only

B The graph does not show a function because the range of the graph is not all real numbers.

- Incorrect as the range is all real numbers

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

- Correct, this is the definition of a function

D The graph does not show a function because many elements of the domain are assigned to the same element of the range.

- Incorrect as per previous statement

write an equation in point slope form for a line with a slope of -3 that passes through (2, -4)​

Answers

Answer:

work shown and pictured

Which algebraic expression represents this word description?
The quotient of nine and the sum of a number and one

Answers

Answer: [tex]9\div (x+1)[/tex]

Step-by-step explanation:

In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .

Given phrase: The quotient of nine and the sum of a number and one

Let the number be x.

Then, the statement become: The quotient of nine and the sum of x and one.

i.e. [tex]9\div (x+1)[/tex]   [since sum of x and 1 = x+1]

Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .

Answer:

9 divided (x+1)

Step-by-step explanation:

apeex

calculate the perimeter of a semi circle whose radius is 21cm​

Answers

Radius of semicircle r = 21 cm

Perimeter of semicircle

= pi*r + 2r

= (22/7)*21 + 2*21

= 22*3 + 42

= 66 + 42

= 108 cm

Help..................

Answers

Answer:

1) Highest

2) Decreasing / Descending

Step-by-step explanation:

In a standard polynomial , terms are ordered from highest degree to lowest degree.

In the text box below, write a brief summary about the similarities and differences between Inequality Notation, Set-Builder Notation, and Interval Notation.

Answers

Answer and Step-by-step explanation:

Differences:

Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1.  Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.

Similarities:

The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements.  If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.

ALG II NEED HELP QUICK! Will mark the brainliest answer

Answers

I think it’s the second one because The formula would be
x=
2a
−b±
b
2
−4ac

At a sale, coats were sold for $10 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?

Answers

Answer: 50%

Step-by-step explanation:

10/20×100=50%

Answer:

50

Step-by-step explanation:

i have to find the sides of the angles on this photo

Answers

Step-by-step explanation:

may be those can be QT and QN

what comes before one in the natural numbers

Answers

Answer:

Actually nothing comes before 1 in the natural numbers. 1 is first natural number.

Step-by-step explanation:

well 0 comes before 1 but it's not nature number.

hope it helped you:)

A bag contains 6 red marbles, 2 green, and 4 blue marbles. You randomly pick a marble and then pick a second marble, returning the marbles to.the bag each time. What is the probability of pulling a blue marble first and then a red marble.second?

Answers

Answer:

Probability of pulling a blue marble is 1/3 about 33% chance

Probability of pulling a red marble is 1/2 = 50% chance

Step-by-step explanation:

Total marbles = 6+2+4 = 12

4 of those 12 are blue

4/12=1/3 when reduced

________________________

Total marbles are still = 12

6 of the 12 are red

6/12=1/2 when reduced

Hope this helps! :)

Add: (3x2 - 5x + 6) + (9 - 8x - 4x2) A) 12x2 - 13x + 2 B) 7x2 + 3x - 3 C) 7x2 - 13x + 15 D) -x2 - 13x + 15

Answers

Answer:

D

Step-by-step explanation:

So we have the expression:

[tex](3x^2-5x+6)+(9-8x-4x^2)[/tex]

Combine like terms:

[tex]=(3x^2-4x^2)+(-5x-8x)+(6+9)[/tex]

Add or subtract:

[tex]=(-1x^2)+(-13x)+(15)[/tex]

Simplify:

[tex]=-x^2-13x+15[/tex]

Our answer is D

Factor of 3x-3a+xy-ay

Answers

Answer:

(3 - y) & (x - a) are the factors

Step-by-step explanation:

3x-3a+xy-ay

=> 3x - xy - 3a - ay

=> x(3 - y) - a(3 - y)

=> (3 - y)(x - a)

(3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

Here, we have,

given that,

the expression is : 3x-3a+xy-ay.

now, we have,

To factor the expression 3x - 3a + xy - ay, we can group the terms as follows:

3x-3a+xy-ay

=> (3x - 3a) + (xy - ay)

Now, let's factor out the common factors from each group:

=> 3(x - a) + y(x - a)

Notice that both terms now have a common factor of (x - a).

We can factor out this common factor:

=> (x - a)(3 + y)

Therefore, the factored form of the expression 3x - 3a + xy - ay is (x - a)(3 + y).

Hence, (3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ2

The formula for the area of a triangle is A = 1/2bh, in which b represents the length of the base and h represents the height. If a triangle has an area of 328 mm^2 and the height is 16 mm, what is the measure of the base?

Answers

Answer:

b = 41 mm

Step-by-step explanation:

From the question

Area of a triangle is given by

[tex]A = \frac{1}{2} bh[/tex]

where

b is the length of the base

h is the height

From the question

Area = 328 mm²

height = 16 mm

Substitute the values into the above formula and solve for the height

We have

[tex]328 = \frac{1}{2} \times 16b \\ 328 = 8b[/tex]

Divide both sides by 8

We have the final answer as

b = 41 mm

Hope this helps you


Pete earns $8.50 per hour plus tips. On Tuesday, he received $16 in tips. How many hours did Pete work if he earned a total of $50 on
Tuesday?

Answers

Answer:

4 hours .  

Step-by-step explanation:

4x8.50=34

34 + 16=50

Answer:

He worked 4 hours i think

Step-by-step explanation:

Take 50 and subtract his tips ($16)

then divide your answer by how much he makes an hour ($8.50)

The volume of a cone is 200.96 cubic yards. What is the radius of the cone if the height is 12 yd? Use pi =3.14 and round your answer to the nearest hundredth.

Answers

Answer:

If I'm doing the problem correctly, the radius should be 4 yards.

Step-by-step explanation:

You work the problem backwards. Multiply 200.96 by 3, since it's a cone, so you're working with the volume of what a cylinder would be with the same dimensions. Then divide by the height (12 yd), then divide by pi. You should end up with 16, and 4 squared equals 16. Work the problem forwards from there to check.

4 squared is 16. 16 times 3.14 is 50.24. 50.24 times 12 is 602.88. 602.88 divided by 3 is 200.96.

.........................idk

3. The first four terms of a sequence are:
T2 = 12+ 22
T3 = 12 + 22 + 32
T4 = 12 + 22 + 32 +42
T1 = 12
The n" term is given by Tn=n(n + 1)(2n + 1).
Work out the value of T23.

Answers

Step-by-step explanation:

tn=n(n+1)(2n+1)

t23=23(23+1)(2*23+1)

t23=36754

Answer:

The 23rd term is 2806.

Step-by-step explanation:

The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.

Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.

Sum of n terms = (n/2)[2a1  + d(n - 1)]

So the sum of 23 terms =

= 23/2 (2*12 + 10 * 22)

= 11.5 * 244

= 2806.

Three times a number is equal to the sum of half the number and 30. What is the number?

Answers

Answer:

12.

Step-by-step explanation:

3x = 0.5x + 30

2.5x = 30

x = 30 / 2.5

x = 12

Mary's bank account was overdrawn by
$21. If she deposits $60, find the new
balance.

Answers

Answer:

39

Step-by-step explanation:

If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted

Answer: The answer is 39

Step-by-step explanation: -21+60=49

hope you like it :)

Help with brothers math homework?I can't help because I forgot how to do this​

Answers

Answer:

See below.

Step-by-step explanation:

The range of a graph is the span of y-coordinates the graph covers.

From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.

Therefore, the range is all of the numbers in between them including them.

In interval notation, this is:

[tex][-8,7][/tex]

We use brackets instead of parentheses because we include the numbers.

And in set notation, this is:

[tex]\{y|-8\leq y\leq 7\}[/tex]

Answer:

Hey there!

The range is the possible y values.

Thus, we see here that the range is all numbers from -8 to 7.

Let me know if this helps :)

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