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:
\(V_{tot}=122,26\: m^{3}\)
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:
\(A_{hex}=\frac{P*a}{2}\)
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:
\(A_{hex}=\frac{24*3,4}{2}\)
\(A_{hex}=40,8\: m^{2}\)
Ahara, el volumen de un prisma de base hexagonal está dada por:
\(V_{prisma}=A_{hex}*h\)
h es la altura del prisma, en nuestro caso h = 2 m.
Entonces:
\(V_{prisma}=40,8*2\)
\(V_{prisma}=81,6\: m^{3}\)
Pirámide
El volumen de una pirámide de base hexagonal está dado por:
\(V_{piramide}=\frac{A_{hex}*H}{3}\)
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.
\(4,53^{2}=a^{2}+H^{2}\)
\(4,53^{2}=3,4^{2}+H^{2}\)
\(H=2,99\: m\)
Por lo tanto el volumen de la pirámide será:
\(V_{piramide}=\frac{40,8*2,99}{3}\)
\(V_{piramide}=40,66\: m^{3}\)
El volumen total del material necesario será:
\(V_{tot}=V_{prisma}+V_{piramide}\)
\(V_{tot}=81,6+40,7=122,26\: m^{3}\)
Puedes aprender más de volúmenes aquí:
brainly.com/question/15597483
Espero te haya sido de ayuda!
Related Questions
A unit to express volume is?
Answers
Answer:
Please mark Brian List The answer is Cubic units
Answer:
The unit used to express volume is cubic units
any unit but it should be cubic
like cm³ ml³
The list shows the length of a day on two different planets.
• Neptune: 16.11 hours
• Venus: 5,832.40 hours
Which statement is best supported by this information?
A day on Venus is about 40 times as long as a day on Neptune.
A day on Venus is about 400 times as long as a day on Neptune.
A day on Venus is about 50 times as long as a day on Neptune.
A day on Venus is about 500 times as long as a day on Neptune.
...
...
Answers
Answer:
a day on Venus is about 400 times as long as a day on Neptune
2|4x-5|-2=-4 how do I solve this?
Answers
Step-by-step explanation:
in my opinion
2(4x-5)-2=-4
=2×4x-2×5-2=-4
8x-10-2=-4
8x=-4+10+2
8x=-4+12
8x=-16(divide both sides by 8)
×=2
I need help really bad
Answers
The total area of the crown is 26cm²
How to find the area of the krown?We can divide the crown in some simpler figures, these are:
A rectangle of 8cm by (2 + 1/4) cm, the area is the product of the two dimensions, so we can write this as:
A = 8cm*(2 + 1/4)cm
A = 18cm²
And in 4 triangles whose base is of 2cm, and its height is also of 2cm, then the area of each triangle is:
T = 2cm*2cm/2 = 2cm²
Then the total area of the crown is:
area = 18cm² + 4*2cm²
area = 18cm² + 8cm²
area = 26cm²
Learn more about area at:
https://brainly.com/question/24487155
#SPJ1
Given f(x)-3x³-2x+4, find a. J(-2)- b. f(x+1)- 4
Answers
We used the given function to calculate the values of f(-2) and f(x+1) and then used them to find f(x+1)-4. After simplifying the expression, we found the answer to be 3x³+9x²+7x+1.
We have been given the function
f(x)=3x³-2x+4a.
To find f(-2), we must replace x with -2 in the function.
Then,
f(-2) = 3(-2)³-2(-2)+4 = 3(-8)+4-4 = -24+4 = -20
Therefore, f(-2)=-20b.
To find f(x+1)- 4, we must first find f(x+1) by replacing x with (x+1) in the function:
f(x+1) = 3(x+1)³-2(x+1)+4 = 3(x³+3x²+3x+1)-2x-2+4=3x³+9x²+9x+3-2x+2 = 3x³+9x²+7x+5
Now, we substitute f(x+1) in the expression f(x+1)-4:
f(x+1)-4= 3x³+9x²+7x+5-4=3x³+9x²+7x+1
Therefore, f(x+1)-4 = 3x³+9x²+7x+1
Learn more about function visit:
brainly.com/question/28278699
#SPJ11
Math question is in the picture thanks
Answers
The equation of the line in point slope form is y + 4 = 4(x + 3).
How to write equation in point slope form?Equation of line can be represented in point slope form as follows:
y - y₁ = m(x - x₁)
where
m = slope of the lineThe slope of a line is the change in the dependent variable with respect to the change in the independent variable.
Therefore,
m = 4
using (-3, -4)
Hence,
y + 4 = 4(x + 3)
learn more on point slope form here: https://brainly.com/question/29054476
#SPJ1
Solve the rational equation: −9/p−8/3=−3/p Hint: If any of the fractions are negative, make the numerator of that fraction negative.
Enter you answer as integer or a fraction. Answer: p=
Answers
The solution to the rational equation is:
p = 9/4
To solve the rational equation: -9/p - 8/3 = -3/p, we can first simplify the equation by finding a common denominator. The common denominator in this case is 3p.
Multiplying each term by 3p, we get:
-9(3) + 8p = -3(3)
Simplifying further, we have:
-27 + 8p = -9
To isolate the variable p, we can add 27 to both sides:
8p = -9 + 27
8p = 18
Finally, we can solve for p by dividing both sides by 8:
p = 18/8
Simplifying the fraction, we have:
p = 9/4
Therefore, the solution to the rational equation is:
p = 9/4
Learn more about rational equation here:
https://brainly.com/question/32042554
#SPJ11
Dinner at a restaurant cost $55.00. The diners decide to leave a 20% tip. What is the cost of their total bill?
Answers
Answer:
66
Step-by-step explanation:
First find the cost of the tip
tip = 55 * 20%
= 55 * .20
= 11
The tip is 11 dollars
Add this to the bill
55+11 = 66
The total bill is 66 dollars
Answer:
Their cost would be $66.00
Step-by-step explanation:
The way i do it is i take ten percent of the total. Which is 55. 10% of 55 is 5.5. And since the diners decide to leave a 20% you multiply 5.5 by two and get 11. So that is an $11.00 tip they left.
So next you would add the $11.00 tip to the $55.00 and you would get a total cost of $66.00.
The diners total cost after they leave a 20% tip would be $66.00
What is the amount of juice in the original solution? a = what is the original amount of solution in gallons? b = how much juice is added? c = how much total solution is added? d =
Answers
The amount of juice in the original solution is 1.5 gallons. b. Original amount of solution is 10 gallons c. No juice is added d. 20 gallons solution added.
Original amount of juice in original solutiona. Original amount of juice in original solution:
Original amount of juice in original solution= 15% × 10 gallons
Original amount of juice in original solution= 1.5 gallons
b. The original amount of solution in gallons is 10 gallons which was given in the question.
c. No juice is added which means we have 0 juice.
d. Total solution added:
(10+x)×5%=1.5
0.5+0.5x=1.5
Collect like terms
0.05x=1
Divide both side by 0.05x
x=1/0.05
x=20 solution added
Therefore the amount of juice in the original solution is 1.5 gallons. b. Original amount of solution is 10 gallons c. No juice is added d. 20 gallons solution added.
Learn more about Original amount of juice in original solution here:https://brainly.com/question/13517725
#SPJ1
What is the original amount of solution in gallons?
What is the amount of salt in the original solution?
Answer:
a = 160
b = 19.2
Step-by-step explanation:
on edge
A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?
Answers
Answer:
84.13% aka. 101/120 students
Step-by-step explanation:
P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%
Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.
84% of students have a score of 65 or higher.
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
For this sum, the mean and standard deviation are mentioned.
Mean = 72
S.D = 7
We will be using the bell curve of normal distribution for solving this sum.
Area under the curve that represents more than 65:
= 34% + 34% + 13.50% + 2.35% + 0.15%
= 84%
Hence, we can conclude that 84% of the scores were 65 or higher.
Learn more about normal distribution: https://brainly.com/question/13759327
#SPJ2
Round 3,996 to the nearest ten thousand
Answers
Answer:
0
Step-by-step explanation:
3996 is closer to 0 than 10,000
Evaluate the expression.
10x - 3x2 when x = 2
Answers
Answer:
8
Step-by-step explanation:
Answer:8 or -16
Step-by-step explanation:
a) If you mean 10x - 3(x²) when x=2
10(2)- 3(2²)= 20-12=8
b) If you meant 10x - 3x²=
10(2)-(3 x 2)²= 20-6²
20-36=-16
Which is the graph of f(x) = 1/4 (4)^x ?
Answers
Answer:
The only graph that is fully shown.
Step-by-step explanation:
I did the math and the points check out.
ANSWER PLS Which transformation or set of transformations will map a point (x, y) onto the point (2x+1, 2y)?
a dilation of scale factor 2 through the origin followed by a translation of right 1 unit
a dilation of scale factor 2 through the origin followed by a translation of up 1 unit
a dilation of scale factor 2 through the point (1,0)
D
a dilation of scale factor 2 through the point (0, 1)
Answers
Answer:
Hey man I have the same Problem too for my class but I don’t know what the answer is eather so I’m going with b
Step-by-step explanation:
how do i do this I forgot how to do this and I have a test tomorrow
Answers
Answer:
Step-by-step explanation:
(1 + 11)/(-2+5)= 12/3=4
y + 11 = 4(x + 5)
y + 11 = 4x + 20
y = 4x + 9
pls help :((( change the subject to m
Answers
Step-by-step explanation:
\(L = \frac{ \sqrt{m} }{k} \)
\(Lk = \sqrt{m} \)
\( Squaring \: on \: both \: sides\)
\( {(Lk)}^{2} = m\)
\(m = {L }^{2} {k}^{2} \)
Answer:
=
\(l \times k ^{2} = m\)
kal and kara solve this problem in two different ways. the perimeter of a rectangle is 4646 centimeters. its length is 88 centimeters. what is its width? use the drop-down menus to complete the sentences below.
Answers
If the perimeter of the rectangle is 4646 centimeters and its length is 88 centimeters then its width would be 2235 centimeters
What is meant by the term Perimeter?The perimeter of a form in geometry is defined as the entire length of its border. A shape's circumference is calculated by summing the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
In daily life, people constantly employ the idea of perimeter. For instance, we measure the perimeter of the area to be fenced in or decorated for Christmas to determine how much wire you will need.
We are aware that a regular polygon has equal-length sides.
A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the quantity o sides times the length of a side.
How to solve?
width = 4646 - 2*88 =4470
width of one side = 4470/2 = 2235 centimeters
To learn more about Perimeter, visit:
https://brainly.com/question/6465134
#SPJ4
Last year, the number of skateboards produced by a skateboard company is normally distributed. The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year. Use this information to find the average number of skateboards produced per day last year.
Answers
The z-score value for 93.32% will be negative 1.5. Then the average number of skateboards produced per day last year is 310.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
Last year, the number of skateboards produced by a skateboard company is normally distributed.
The standard deviation of skateboards produced was 20 skateboards.
They found they produced up to 280 skateboards on 93.32% of the days last year.
Then the z-score value for 93.32% will be negative 1.5.
Then we have
z = (x - μ)/σ
-1.5 = (280 - μ)/20
-30 = 280 - μ
μ = 280 + 30
μ = 310
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ1
The ratio of a to b is 4/7. If a is 16, find the value of b.
Answers
Answer:
B=28
Step-by-step explanation:
does 6 3/8 - 4 3/4 = 4 3/4
Answers
Answer:
no it doesnt
Step-by-step explanation:
Answer:
No it does not because it can be the same when it is less than.
Determine whether the series is convergent or divergent. 3^(n+1)4^-n If it is convergent, find its sum.
Answers
Geometric series is convergent if the |r|<1 where r is the common ratio.
Let Sn=∑ni=0(−3/4)i then
Sn=(−3/4)n+1−1(−3/4)−1
Now take n→∞ then
Sn→0−1(−3/4)−1=4/7
because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is
lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.
Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.
know more about geometric series here
https://brainly.com/question/4617980#
#SPJ4
The following are the annual salaries of 17 chief executive officers of major companies.here are salaries 84, 381, 542,338,542,338,224,248,495.676,767,405,271,723,814,428,452,1108,609(the salaries are written in thousands of dollars)find the30th and the 75th percentiles for the salaries
Answers
To determine the 30th and the 75th percentiles for the salaries:
The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.
Arrange the data set in ascending order as follows:
84 ,224 , 248, 271, 338 , 381, 405 , 428, 452, 495 , 542, 609, 676 , 723 ,767 , 814, 1108
The formula to compute the position of the pth percentile is:
\(P^{th}\text{ percentile = }\frac{(n+1)\text{.p}}{100}\)Compute the 30th percentile as follows:
\(30^{th}\text{ percentile = }\frac{(17+1).30}{100}=\frac{18}{100}.30\approx5^{th\text{ }}Obs\)The 5th observation from the arranged data set is 338 .
Thus, the 30th percentile is 338.
Compute the 75th percentile as follows:
\(75^{th}\text{ percentile = }\frac{(17+1).75}{100}\approx14^{th\text{ }}Obs\)The 14th observation from the arranged data set is 814.
Thus, the 75th percentile is 814
Therefore the 30th percentile is 338 and the 75th percentile is 814
anyone help me please?!
Answers
Based on the given task content, the story of Monique and Davion is a one solution story.
How to solve equationlet
Number of months when their total cost will be the same = xTotal cost of the phone = yMonique:
Amount spent on new phone = $750Monthly cost = $60y = 750 + 60x
Davion:
Monthly cost = $70
y = 70x
Equate the total cost of Monique and Davion750 + 60x = 70x
collect like terms750 = 70x - 60x
750 = 10x
divide both sides by 10x = 750 / 10
x = 75 days
Therefore, the story of Monique and Davion is a one solution story.
Learn more about equation:
https://brainly.com/question/22688504
#SPJ1
Using the graph, what is one solution to the equation f(x) = g(x)?
(See picture attached)
A: x = 3.9
B: x = 1
C: x = 0.25
D: x = -2
Answers
Answer:
Step-by-step explanation:
C
A : x = 3.9
_______________________________
The other solutions are approximately
x = - 2.4 and x = 1.5
Sample 1
ATTCGACGTC
k to add speaker notes
-
acer
Sample 2
GATAGCTAGG
Answers
Answer:
Sample 1
ATTCGACGTC
k to add speaker notes
-
acer
Sample 2
GATAGCTAGG
?--?
True False: ANOVA, Part II. Determine if the following statements are true or false, and explain your reasoning for statements you identify as false. If the null hypothesis that the means of four groups are all the same is rejected using ANOVA at a 5% significance level, then (a) we can then conclude that all the means are different from one another. (b) the standardized variability between groups is higher than the standardized variability within groups. (c) the pairwise analysis wi identify at least one pair of means that are significantly different. (d) the appropriate o to be used in pairwise comparisons is 0.05 /4 0.0125 since there are four groups.
Answers
(a) False. If the null hypothesis is rejected using ANOVA, it means that there is significant evidence to suggest that at least one of the means is different from the others.
However, it does not necessarily mean that all the means are different from one another. Additional tests such as pairwise comparisons are needed to determine which specific means are significantly different from one another.
(b) True. When ANOVA is used, the F-statistic is calculated by dividing the variability between groups by the variability within groups. Therefore, if the null hypothesis is rejected, it means that the variability between groups is higher than the variability within groups.
(c) True. Pairwise comparisons are used to determine which specific means are significantly different from one another. If the null hypothesis is rejected using ANOVA, then pairwise comparisons will identify at least one pair of means that are significantly different.
(d) True. When conducting pairwise comparisons, it is important to adjust the significance level to account for the multiple comparisons being made. In this case, there are four groups, so the appropriate level of significance is 0.05/4 = 0.0125. This helps to control the overall type I error rate.
Learn more about null hypothesis here:
https://brainly.com/question/28920252
#SPJ11
find the standard equation of the sphere with the given characteristics. center: (−1, −6, 3) radius: 5
Answers
The standard equation of the sphere with the given characteristics, center (-1, -6, 3), and radius 5 is
\((x+1)^{2} +(y+6)^{2}+ (z-3)^{2} =25\).
The standard equation of a sphere is \((x-h)^{2} +(y-k)^{2}+ (z-l)^{2} =r^{2}\), where (h, k, l) is the center of the sphere and r is the radius.
Using this formula and the given information, we can write the standard equation of the sphere:
\((x-(-1))^{2}+ (y-(-6))^{2} +(z-3)^{2}= 5^{2}\)
Simplifying, we get:
\((x+1)^{2} +(y+6)^{2}+ (z-3)^{2} =25\).
Therefore, the standard equation of the sphere with center (-1, -6, 3) and radius 5 is \((x+1)^{2} +(y+6)^{2}+ (z-3)^{2} =25\).
Learn more about the standard equation of the sphere here:
https://brainly.com/question/31706340
#SPJ11
16. In the figure, lines m, and n are parallel. A classmate says you can use the corollary to the
side-splitter theorem to find x. Explain your classmate's error.
Answers
The summit of a granite batholith has an elevation of 1825 feet what is the height of the batholiths in meters
Answers
The height of the batholiths in meters will be 556.26 meters.
What is unit conversion?It is characterized as the process of converting one quantity unit into another, followed by division and multiplication by a conversion factor.
It is given that the given height in the feet is 1825.
We have to convert its unit into meters,
As we know that
1 feet = 0.3048 metere
1,825 feet=0.3048 × 1,825
1,825 feet=556.26 meters
Thus, the obtained value of the height of the batholiths in meters will be 556.26 meters.
Learn more about the unit conversion here:
https://brainly.com/question/11543684
#SPJ2
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
Answers
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
for similar questions on range of the function.
https://brainly.com/question/29017978
#SPJ8