ayuda urgente con paso a paso porfavor
3. Una ciudad contrata un escultor para diseñar la escultura “El lápiz”. El diseño
que presenta para la escultura tiene forma y medidas que se muestran en la
imagen, donde la distancia del centro de la base del prisma a cada uno de sus
lados es de 3,4 m y su perímetro es de 24 m. La altura total de la escultura es 5
m. ¿Cuánto volumen de material es necesario para construir la escultura?
Answers
El volumen de material requerido para la construcción de la escultura es:
[tex]V_{tot}=122,26\: m^{3}[/tex]
Esta escultura esta compuesta de dos volúmenes, un prisma de base hexagonal y una pirámide de base hexagonal. Calculemos el volumen de cada figura por separado, para luego sumarlos.
Prisma
La ecuacion del área de un hexágono está dada por:
[tex]A_{hex}=\frac{P*a}{2}[/tex]
Donde:
P es el perimetro del hexágono (P = 24 m)a es la distancia del centro a uno de sus lados, apotema. (a = 3,4 m).Entonces el área será:
[tex]A_{hex}=\frac{24*3,4}{2}[/tex]
[tex]A_{hex}=40,8\: m^{2}[/tex]
Ahara, el volumen de un prisma de base hexagonal está dada por:
[tex]V_{prisma}=A_{hex}*h[/tex]
h es la altura del prisma, en nuestro caso h = 2 m.
Entonces:
[tex]V_{prisma}=40,8*2[/tex]
[tex]V_{prisma}=81,6\: m^{3}[/tex]
Pirámide
El volumen de una pirámide de base hexagonal está dado por:
[tex]V_{piramide}=\frac{A_{hex}*H}{3}[/tex]
Donde:
H es la altura de la pirámide.A(hex) es el área del hexágonoNosotros tenemos la apotema del volumen 4,53 m, por lo tanto podremos calcular H usadon el teorema de pitagoras.
[tex]4,53^{2}=a^{2}+H^{2}[/tex]
[tex]4,53^{2}=3,4^{2}+H^{2}[/tex]
[tex]H=2,99\: m[/tex]
Por lo tanto el volumen de la pirámide será:
[tex]V_{piramide}=\frac{40,8*2,99}{3}[/tex]
[tex]V_{piramide}=40,66\: m^{3}[/tex]
El volumen total del material necesario será:
[tex]V_{tot}=V_{prisma}+V_{piramide}[/tex]
[tex]V_{tot}=81,6+40,7=122,26\: m^{3}[/tex]
Puedes aprender más de volúmenes aquí:
brainly.com/question/15597483
Espero te haya sido de ayuda!
Related Questions
What does 2:6 = 14:_______
Answers
Answer:
14:42
Step-by-step explanation:
As we got 2 to get to 14, that means that we need to times by 7. Then we times the 6 by 7 to get the answer of 42.
The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which graph could represent the relationship between t, time in seconds, and s, speed in meters per second? A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 10 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 0 to 4 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 4.5 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 1 to 9 seconds.
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Answer:
Since the guy on top was so difficult the answer is A
Step-by-step explanation:
Edge 2021
Answer: Option A if your doing Edge.
Step-by-step explanation:
none
Describe how to use a random number generator to simulate the following performances
a) A basketball player has the ability to make 40% of his shots and takes 25 shots in one game.
b) A basketball player has the ability to make 75.2% of her free throw shots and she takes 8 free throws in a game.
Answers
Answer:
random number generators return numbers from 0 to 1...
a) generate 25 random numbers if the number x is ≤ .4 he makes the shot
otherwise he misses
a) generate 8 random numbers if the number x is ≤ .752 she makes the shot otherwise it is a miss
otherwise he misses
Step-by-step explanation:
How to find a domain and range and express it in a function
Answers
Answer: To find the excluded value in the domain of the function, equate the denominator to zero and solve for x .
Step-by-step explanation:
For example, in the problem below The domain of the function is set of real numbers except −3 . The range of the function is same as the domain of the inverse function. So, to find the range define the inverse of the function.
During a walk on a trail, Rose walked a total of 3,674 steps. Assume that she takes the same number of steps each time she
walks this same trail and that she walks this same trail 11 times. Estimate the number of steps Rose would take after all 11
walks.
Round each walk to the nearest hundred steps before calculating.
Answers
Answer:
40,790 steps
Step-by-step explanation:
3674 rounds to 3700
3700*11 = 3700*10+3700*1 = 37000+3700 = 40,790
Answer:
Step-by-step explanation:
3.674 is rounded to 3,700 steps every 11 walks.
3,700 x 11 Walks= 40, 700
More help Pls (am also giving away points).
Answers
Answer:
But where is the question???????
16. A perfect number is one for which the sum of the proper divisors is
equal to the number. (The proper divisors are the ones that are less than
the number and divide evenly into the number.) For instance, 496 is a
perfect number. The proper divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124,
and 248. The sum of the divisors is
1 + 2 + 4 + 8 + 16 +31 +62 + 124 + 248 = 496.
Find a perfect number between 20 and 30.
I
SECTION
a. Anita and the owner of the utility stock purchased their shares
through an online brokerage, whereas Tony and the owner of the au-
tomotive stock did not.
b. The gain in value of Maria's stock is twice the gain in value of the au-
tomotive stock
c. The technology stock is traded on NASDAQ, whereas the stock that
Tony bought is traded on the New York Stock Exchange.
Answers
Answer:
Step-by-step explanation:
16. Use Euclid Perfect Number formula:
If [tex]2^{n} -1[/tex]a a prime number, then [tex]2^{n-1}(2^{n} -1)[/tex] is a perfect number. 6 is a perfect number when n=2 Let try when n=3
[tex]2^{2} (7)=28[/tex]
So 28 is a perfect number
4,540,597 to the nearest million
Answers
Answer:
Hi, there! The correct Answer Is Below
4,540,597 Would Round To 5,000,000
Step-by-step explanation:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
________________________________________________________
-Darkspirit-
Answer:
Step-by-step explanation:
The hundred thousands digit is 5 so it is 5,000,000.
2(5x-4)-x-3(3x-1)
simplified
Answers
Answer:
x=-5
Step-by-step explanation:
2(5x-4)=10x-8
-3(3x-1)=-9x+3
10x-8-9x+3
x=-5
The answer you are looking for is -5.
Writing out the equation,
2(5x-4)-x-3(3x-1)
Using the Distributive Property for 2(5x-4) and -3(3x-1),
10x-8-x-9x+3
Using the Associative Property,
10x-x-9x-8+3
Simplifying the similar terms,
9x-9x-8+3
Canceling both "9x" terms, since 9x-9x is obviously 0,
0-8+3, or simply just -8+3.
-8+3=-5
So, therefore the final answer is -5.
I hope that this has helped you. Enjoy your day, and take care.
How many cups of water will Billy use to fill a 9-liter bucket if one cup holds one sixth of a liter of water?
one fifty fourth cup
15 cups
54 cups
one fifteenth cup
Answers
54 cups = 9 litres
the ratio of 3 less than k to 2 more than k
Answers
We will find that the ratio of 3 less than k to 2 more than k is:
(k - 3):(k + 2)
The ratio between two numbers A and B can be written as:
A:B
This is the ratio of A to B
and
B:A
Is the ratio of B to A.
Then for the ratio of 3 less than k to 2 more than k we have:
"3 less than k" is: k - 3
"2 more than k" is: k+ 2
Then the ratio is:
(k - 3):(k + 2)
if you want to learn more, you can read:
https://brainly.com/question/13419413
The sum of 10 and a number x
Answers
Answer:Complete the question pls
Step-by-step explanation:
Find the value of x and y
2x+7y=4
-4x-3y=14
Answers
Answer:
x=-5 y=2
Step-by-step explanation:
1) multiplying equation 1 by 4 and multiplying equation 2 by 2 .
2)adding them we get value of y.
3) replacing value of y in either of given equation
If your car gets 34 miles per gallon, how much does it cost to drive 420 miles when gasoline costs $3.30 per gallon?
Answers
Answer:
$40.76, if rounded then $40.80.
Step-by-step explanation:
you do 420 times 3.30 divided by 34
The coordinates of point T are (0,6). The midpoint of ST is (3, -4). Find the coordinates of point S
Answers
Answer:
S = (-8, 0 )
Step-by-step explanation:
Is -2.4 Rational or Irrational?
Answers
Answer:
It is rational.
Step-by-step explanation:
Any ratio between two numbers is rational. In this case, -2.4 can be expressed as -12/5.
Convert 6 kilograms into pounds. Round your answer to the nearest tenth.
Answers
[tex]\boxed{\sf 1kg=2.205lbs}[/tex]
[tex]\\ \sf\longmapsto 6kg[/tex]
[tex]\\ \sf\longmapsto 6(2.205)[/tex]
[tex]\\ \sf\longmapsto 13.23lbs[/tex]
If 1 kg is equivalent to 2.2 pounds…. therefore 6 kg would be 6 x 2.2 which gives you 13.2
Please help!!!!!
what is 20% of 35
Answers
Answer:
7
Step-by-step explanation:
2. CHARITY Luis was in charge of collecting money for
a group of charities. He collected $979 for11charities.
If the money was divided evenly, how much was
given to each charity?
Help me !!
Answers
Answer:
89$ for 11 Charities
Step-by-step explanation:
I. If Luis has $979 and he wants to give it to 11 charities right?
So [tex]\frac{979}{11}[/tex]
= 89$
There are 16 tablespoons in 1 cup. How many tablespoons of cornstarch would Chery need to make the green slimerecipe 15 time?
Answers
16 xs 15 = 240
please vote me brainliest! :)
499 rounded to the nearest ten is
510
500
490
Answers
Answer:
500
Step-by-step explanation:
Since we are rounding to the tens place, that is the second value in the number 499. Remember these details when rounding;
4 and below round down5 and above round upSince we have a 9, we round up get and 500.
Best of Luck!
Answer:
499 rounded to the nearest tenth is 500.
Step-by-step explanation:
499 rounded to the nearest tenth is 500 because, every tenths place is + 10
the closest tenth 499 is closest to would be 500.
Hope this helped :)
help whhhahahahaha Helpppppppp
Answers
Answer:
320/420 = 4/3
Step-by-step explanation:
4/7= x /560
Cross multiply
7x = 2240
Divide by 7:
x=320
The school has 320 boys and 240 girls
I hope this helps u:)
Answer:
Problem(1): [tex]21[/tex]
Problem(2): Side length = [tex]\frac{1}{4}[/tex] Area = [tex]\frac{1}{16}[/tex]
Problem(3): Boys = [tex]320[/tex] Girls = [tex]240[/tex]
Step-by-step explanation:
(Notes steps are cut from this answer so that it isn't too long)
1. Problem (1)
One is given the following information:
[tex]x+\frac{1}{x}=5[/tex][tex](x-\frac{1}{x})^2[/tex]The most logical first step is to solve for the value of (x). One can solve for the numerical value of (x) with the first equation.
[tex]x+\frac{1}{x}=5[/tex]
Multiply the entire equation by (x),
[tex]x^2+1=5x[/tex]
Inverse operations put the equation in the general format of a quadratic equation. The general format of a quadratic equation is as follows,
[tex]ax^2+bx+c=0[/tex]
Put the given equation in this format,
[tex]x^2-5x+1=0[/tex]
Now use the quadratic formula to solve for the value of (x). The quadratic formula uses the coefficients of the terms in a quadratic equation to find the roots of the equation. The quadratic formula is as follows,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Use the coefficients of the terms in the given quadratic equation in the formal, then simplify to solve for solutions of the given equation,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
[tex]\frac{5(+-)\sqrt{21}}{2}[/tex]
Now substitute these values into the equation and simplify, even though there are two values of (x), there will only be one solution,
[tex]((\frac{5+\sqrt{21}}{2}-\frac{1}{\frac{5+\sqrt{21}}{2}})^2[/tex] [tex]((\frac{5-\sqrt{21}}{2}-\frac{1}{\frac{5-\sqrt{21}}{2}})^2[/tex]
[tex](\frac{5+\sqrt{21}}{2}-\frac{2}{5+\sqrt{21}})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}-\frac{2}{5-\sqrt{21}})^2[/tex]
Convert to a common denominator,
[tex](\frac{5+\sqrt{21}}{2}*\frac{5+\sqrt{21}}{5+\sqrt{21}}-\frac{2}{5+\sqrt{21}}*\frac{2}{2})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}*\frac{5-\sqrt{21}}{5-\sqrt{21}}-\frac{2}{5-\sqrt{21}}*\frac{2}{2})^2[/tex]
[tex](\frac{(5+\sqrt{21})^2-4}{2(5+\sqrt{21})})^2[/tex] [tex](\frac{(5-\sqrt{21})^2-4}{2(5-\sqrt{21})})^2[/tex]
Simplify,
[tex](\frac{25+10\sqrt{21}+21-4}{10+2\sqrt{21}})^2[/tex] [tex](\frac{25-10\sqrt{21}+21-4}{10-2\sqrt{21}})^2[/tex]
[tex](\frac{42+10\sqrt{21}}{10+2\sqrt{21}})^2[/tex] [tex](\frac{42-10\sqrt{21}}{10-2\sqrt{21}})^2[/tex]
[tex]\frac{1764+840\sqrt{21}+2100}{100+40\sqrt{21}+84}[/tex] [tex]\frac{1764-840\sqrt{21}+2100}{100-40\sqrt{21}+84}[/tex]
[tex]\frac{3864+840\sqrt{21}}{184+40\sqrt{21}}[/tex] [tex]\frac{3864-840\sqrt{21}}{184-40\sqrt{21}}[/tex]
[tex]21[/tex]
2. Problem (2)
All four sides of a square are congruent (have the same measure), thus dividing the perimeter of a square by (4) will yield the side length of the square,
[tex]Perimeter\ of\ the\ square: 4\\Side\ length: \frac{1}{4}[/tex]
The area is the two-dimensional space that a figure takes up, in the case of a square, the area is the side length times itself:
[tex]A=(\frac{1}{4})^2=\frac{1}{16}[/tex]
3. Problem (3)
Let (x) represent the amount by which the ratio of boys to girls was scaled down. Assuming that these are the only two genders in the school, one can state that the sum ratio coefficients times the scaling value for both boys and girls, will equal the total number of people in the school. Thus, one can form the following equation and solve it with inverse operations and simplification,
[tex]boys + girl = total\ students\\4x + 3x = 560\\7x = 560\\x = 80[/tex]
Now substitute this into the expression for the two genders in this scenario, respectively, to solve for the actual number of students of that gender,
Boys, Girls,
[tex]4(x)[/tex] [tex]3(x)[/tex]
[tex]4(80)[/tex] [tex]3(80)[/tex]
[tex]320[/tex] [tex]240[/tex]
how much time will it take for a bug to travel 5 meters if it is traveling 1 m/s
Answers
Answer:
5
Step-by-step explanation:
divide the distance by the rate of speed
5/1=5
Answer:
5 seconds.
Step-by-step explanation:
PLEASE HELP GIVING BRAINEST AWNSER AND ITS WORTH 85 points
Five new students join the Chess Club. The
club president schedules games so that each
of the new members plays a game against
each of the other new members. How many
games does the president schedule?
F 25
H 10
G 20
J 5
Answers
Answer:
H. 10
Step-by-step explanation:
We can write down all the games that can be played (I'm going to use a, b, c, d, and e to symbolize the players)
ab, ac, ad, ae, bc, bd, be, cd, ce, de
As you can see, there are 10 games that are going to be played.
Best of Luck!
Answer:
10 gamesStep-by-step explanation:
There are 5 new members.
The first member plays the rest 4The second - 3 The third - 2The fourth - 1Total number of games:
4 + 3 + 2 + 1 = 10a die is rolled find the probability of rolling a multipul of 5
Answers
Answer:
1/6
Step-by-step explanation:
It's 1/6 because the only multiple of 5 in a die is 5, so it will be 1/6.
is the expression 5+3x/2 equal to the expression 4x
Answers
Answer:
No
Step-by-step explanation:
[5+3x] is an expression that cannot be added because 5 is a natural interger but 3x is an unknown
and therefore it cannot be divided by 2 to get 4
Better example :
if the question will give 4x , then
it should be [5x+3x]/2 = 8x/2 = 4x
it's obvious from the example I gave that 8x can be divided by 2 to give 4x
What effect does replacing x with x - 4 have on the graph for the functionſ (x)?
f(x) = |x – 6| + 2
Answers
Step-by-step explanation:
The graph is shifted 4 units left.
The graph is shifted 4 units right.
The graph is shifted 4 units up.
The graph is shifted 4 units down.
15 = [tex]\frac{5}{3}[/tex] (x + 12)
Answers
Answer:
x = -3
Step-by-step explanation:
15 = 5/3 (x + 12)
Multiply each side by 3/5 to clear the fraction
3/5 *15 =3/5 *5/3 (x + 12)
9 = x+12
Subtract 12 from each side
9-12 = x+12-12
-3 =x
Answer:
15 = 5/3(x + 12)
Using distributive law
15 = 5x/3 + 20
15 = 5x + 60/3
15 × 3 = 5x + 60
45 = 5x + 60
45 - 60 = 5x
-15 = 5x
-15/5 = x
-3 = x
WILL MARK BRAINLIEST !!! HELP !
the triangles below are similar use what you know about similar triangles to find the missing side length
Answers
please help, thank you so much !!
Answers
Explanation:
180 - 14 = 166
3x + 4 = 166
3x = 162
x = 162/3 = 54