A circular hall has a hemispherical roof.
The greatest height is equal to the
inner diameter. If the capacity of
the hals is
the
floor is.
43510 m^3

then
area
of the​

Answers

Answer 1

Answer:

Area=1,288.88m²

Step-by-step explanation:

A circular hall(big room) has a hemispherical roof.The greatest height is equal to the inner diameter.Find the area of the floor,given that the capacity of the hall is 43510 cubic meter

Solution

let

diameter = D

radius,r = D/2

Greatest height = D

height of cylindrical part (h)= D-r = r

radius of cylindrical part = r

area of floor = πr²

volume = volume of cylindrical part + volume of hemispherical part

= πr²h + 2/3 πr³

Recall h=r

volume = πr³ + 2/3 πr³

43510=5/3πr³

Make r the subject

r=3√(43510*3)/5π

=3√(130,530/15.7

=3√8,314.01

=20.26

Area of floor = πr²

=3.14*(20.26)²

=3.14*410.47

=1,288.88m²


Related Questions

If 8(x) = -2 and g(x) = 2x2 + x = 3, find ( +g)(x).

A. 2x2 + 2x-5
B. x - 6
C. 2x - 3+1
D. 2x2 + x +1

Answers

[tex](f+g)(f)=f(x)+g(x)\\\\\\f(x)=\dfrac{x}{2}-2\\g(x)=2x^2+x-3\\\\(f+g)(x)=\dfrac{x}{2}-2+2x^2+x-3\\(f+g)(x)=2x^2+\dfrac{x}{2}+\dfrac{2x}{2}-5\\(f+g)(x)=2x^2+\dfrac{3x}{2}-5\\(f+g)(x)=2x^2+\dfrac{3}{2}x-5[/tex]

x - (-20) = 5 _________________

Answers

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

Answer:

[tex]\boxed{x=-15}[/tex]

Step-by-step explanation:

[tex]x-(-20)=5[/tex]

[tex]\sf Distribute \ negative \ sign.[/tex]

[tex]x+20=5[/tex]

[tex]\sf Subtract \ 20 \ from \ both \ sides.[/tex]

[tex]x+20-20=5-20[/tex]

[tex]x=-15[/tex]

Solve the equation
(If possible please show work)

Answers

Answer:

Step-by-step explanation:

-8 + 8a = -12 + 4a

4a - 8 = -12

4a = -4

a = -1

Answer:

a = -1

Step-by-step explanation:

[tex]4(-2+2a) = -12 +4a\\-8+8a=-12+4a\\8a = -4 +4a\\4a=-4\\\frac{4a}{4} =\frac{-4}{4} \\a=-1[/tex]

I hope that makes since... I tried to show my work the best I could.

Determine the equation of the graph and select the correct answer below.
(1, 1-3)
Courtesy of Texas Instruments

Answers

Answer:

  y = (x -1)² -3

Step-by-step explanation:

A quadratic with a vertex at (h, k) will have an equation of the form ...

 y = a(x -h)² +k

You have (h, k) = (1, -3), and a vertical scale factor* of 1. So, the equation of the graphed curve is ...

  y = (x -1)² -3

_____

* One way to determine the value of "a" in the form shown is to look at the vertical difference between the vertex and the points 1 unit right or left of the vertex. Here, those points are 1 unit above the vertex, so the vertical scale factor "a" is 1.

Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bottom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings

Answers

Answer:

2.08 meters

Step-by-step explanation:

From the diagram attached :

We can calculate the height of the shorter building using trigonometry :

s = Height of shorter building

t = height of taller building

Tanθ = opposite / Adjacent

θ = 36°

Adjacent = 12, opposite = s

Tan36° = s / 12

0.7265425 × 12 = s

s = 8.72 meters

s = height of shorter building 8.72 meters ( 2 decimal places)

Height of taller building :

Tanθ = opposite / Adjacent

θ = 48°

Adjacent = t ; opposite = 12

Tan48° = 12 / t

1.1106125 = 12 / t

1.1106125 × t = 12

t = 12 / 1.1106125

t = 10.80 meters ( 2 decimal places)

Height of Taller building = 10.80 meters

Difference in height :

(10.80m - 8.72m) = 2.08 meters

1. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day? 1

Answers

Answer:

the smallest number of clients that could be interviewed each day is 2

Step-by-step explanation:

From the information given, we are being told that:

Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs.

On the first day, the agency plans to interview clients in groups of 2.

This implies that , a single group contains 2 clients

On the second day, the agency will interview clients in groups of 4.

This implies that, a single group contains 4 clients

If the employment agency will interview the same number of clients on each day,

the objective is to determine the smallest number of clients that could be interviewed each day.

We we are meant to find out here is the Lowest Common Multiple i.e the L.C.M of the group of clients.

So,

the factors  of 2 = 1 ,  2

the factors of 4 = 1, 2 and 4

The lowest common multiple from the above factors is 2

Therefore, the smallest number of clients that could be interviewed each day is 2


Write the equation of the line which passes
through the points (4,2) and (-3, 1)

Answers

Answer:

y = 1/3x + 4/7

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Formula: y = mx + b

Step 1: Find slope m

m = (1 - 2)/(-3 - 4)

m = -1/-7

m = 1/7

y = 1/7x + b

Step 2: Find y-intercept b

1 = 1/7(3) + b

1 = 3/7 + b

b = 4/7

Step 3: Write linear equation

y = 1/3x + 4/7

Which of the following is an example of the difference of two​ squares?
A x2−9
B x3−9
C (x+9)2
D (x−9)2
I know the answer is either A or B i might be wrong tho pls help im not sure.

Answers

Answer:

1) What does it mean when a polynomial equation is in standard​ form?

All terms are on one side of the equation, and zero is on the other side.

2) When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?

It should be written as 8x−15x.

3) Is the given equation a quadratic equation? Explain.

x(x−6)=−5

The equation is a quadratic equation because there is an x2-term.

4) Which of the following factored forms given below represent the correct factorization of the trinomial x2+10x+16?

(2+x)(8+x)

5) Which of the following is an example of the difference of two​ squares?

x2−9

Step-by-step explanation:

I hope this helps you out ☺

A binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. [tex]x^2 - 9[/tex]

Recall:

Difference of two squares is when you have a binomial that is expressed as [tex]x^2 - y^2[/tex].

The first and second term of the binomial will have an exponential of 2 wile the subtraction sign will be in the middle.

Thus, from the options given, option A: [tex]x^2 - 9[/tex] is an example of a binomial that is the difference of two squares.

This is why:

9 can be expressed as [tex]3^2[/tex].

In summary, a binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. [tex]x^2 - 9[/tex]

Learn more here:

https://brainly.com/question/16139579

The scale on a map of Virginia shows that 1 inch represents 20 miles the actual distance from Richmond Virginia to Washington DC is 110 miles on the map how many inches are between the two cities

Answers

Answer:

5.5 inches

Step-by-step explanation:

Proportions:

1 inch ⇔ 20 miles

W inch ⇔ 110 miles

W = 110*1/20

W = 5,5 inch

What are the vertical asymptotes of the function above?
1) x= -1 and x = -2
2) x= -1 and x = 2
3) x= 1 and x = -2
4) x = 1 and x = 2

Answers

Answer:

third option

Step-by-step explanation:

Given

f(x) = [tex]\frac{5x+5}{x^2+x-2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

The vertical asymptotes are x = 1 and x = - 2

the product of 5 and z

Answers

Answer:

5z

Step-by-step explanation:

As product = multiplication =>

5 x z --> 5(z)

[tex]\text{Find the product of 5 and z}\\\\\text{The key term in this questions is product, and in math it translates to}\\\text{the answer when multiplled}\\\\\text{In this case, you would multiply them together to get your "product"}\\\\\text{Solve:}\\\\5\cdot z\\\\\boxed{5z}[/tex]

All of Ralph's ranch land was divided equally among his six children whose daughter land portion of the ranch land was divided among her four children how much of Roslyn was in Inherited by 1 of Lynn's children

Answers

Complete question:

All of Ralph's ranch land was divided equally among his 6 children. His daughter Lynn's portion of the ranch land was divided equally among her 4 children. How much of Ralph's ranch land was inherited by 1 of Lynn's children?

Answer:

1 / 24

Step-by-step explanation:

Number of Ralph's children = 6

Number of Lynn's children = 4

If Ralph's land were divided equally among his six children, the fraction each child gets equals

Proportion of land / number of children

= 1 / 6

Therefore, Lynn who is also Ralph's daughter gets 1/6 portion.

If 1/6 is shared equally between her four children, then ;

Her portion ÷ 4

(1/6) ÷ 4

(1/6) × (4/1)

= 1/ 24

Each of Lynn's children gets 1 / 24

PLS HELP ME A THANK YOU AND A BRAINLIST WILL BE REWARDED!!!! :)

Answers

Answer:

[tex]\Large \boxed{{(10x+10)=110}}[/tex]

Step-by-step explanation:

Vertical opposite angles are equal.

[tex](10x+10)=110[/tex]

Answer:

The answer is C.

Step-by-step explanation:

Reason:

For the angles shown, angle (10z+10)° is the same with 110°

So the equation is (10z+10)° = 110°

That's the answer. (C).

how many are 1 raised to 5 ???​

Answers

Answer: 1.

Step-by-step explanation: 1^5 is really just 1, 5 times.

1*1*1*1*=1

En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8
Camionetas tipo Pick-up y 2 automóviles deportivos.
Cl costo de producción y el precio de venta de cada vehículo es el siguiente:
Costo de
Vehículo
Precio de
Producción Venta
SEDAN
SEDAN
DEPORTIVO
$140,000 $185.000
SUV
$250,000
$320,000
VAN
$310,000
$400,000
PICK-UP
PICK-UP
$210,000
$285,000
VAN
DEPORTIVO
$400,000
$550,000
SUV
Cada año transcurrido, posterior a su fabricación, el precio de venta de los
vehículos disminuye una octava parte de su valor.
a suponiendo que en un día se vendan los vehículos en igual cantidad de los
que se fabricaron, como podrías calcular la ganancia?
b
Si la fábrica trabajara solo 12 horas, existe una forma de calcular cuántos
vehiculos se fabrican, ¿cuantos se fabricaron en este lapso? Sustenta tu
respuesta

Answers

Answer:

a. La ganancia es de $ 4,060,000.00

b. 31 vehículos

Step-by-step explanation:

(a) Los parámetros dados son;

El número de automóviles tipo sedán fabricados = 24

El número de camiones tipo SUV fabricados = 16

El número de camiones tipo VAN fabricados = 12

El número de camionetas pick-up fabricadas = 8

El número de autos deportivos fabricados = 2

La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000

La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000

La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000

La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000

(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas

Por lo tanto, tu fabricado

12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.

The distance between two schools A and B is 2km.A market is situated 3/4 of the distance from A to B.How far is the market from B?

Answers

Answer:

0.5 km

Step-by-step explanation:

the schools are 2km apart, so we are trying to find 3/4 of 2km, which is 1.5. So, the market is 1.5km from school A, which means that it is .5km from school b since they are 2km apart

(x-y)²-(x+y)² a)0 b)2y² c)-2y² d)-4xy e)-2(x+y)²

Answers

Answer:

D

Step-by-step explanation:

-4xy

will be your answer after factoring

Answer:

d

Step-by-step explanation:

Given

(x - y)² - (x + y)² ← expand both factors using FOIL

= x² - 2xy + y² - (x² + 2xy + y²) ← distribute by - 1

= x² - 2xy + y² - x² - 2xy - y² ← collect like terms

= - 4xy → d

Suppose that $9500 is placed in an account that pays 9% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
so
(b) Find the amount in the account at the end of 2 years.
$
?

Answers

Answer:

$11286.95 second year

$10335 first year

Step-by-step explanation:

9% of 9500 is 855, 9500 plus 855 = 10335. (first year)

9% of 10335 is 931.95, and 10335+931.95 is 11286.95. (second year)

The amount in the account at the end of 1 year  $10335 (first year)

The amount in the account at the end of 2 years $11286.95.

What is the compound interest?

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

here, we have,

$9500 is placed in an account that pays 9% interest compounded each year.

so, we get,

9% of 9500 is 855,

9500 plus 855 = 10335. (first year)

again,

9% of 10335 is 931.95,

and 10335+931.95 is 11286.95. (second year)

Hence, The amount in the account at the end of 1 year  $10335 (first year)

The amount in the account at the end of 2 years $11286.95.

To learn more on Compound interest click:

brainly.com/question/29335425

#SPJ2

John needs $8,000 to buy a car. So far, he has saved $5,600. What percent of the price of the car has he saved

Answers

Answer:

70%

Step-by-step explanation:

So 5600/8000 is the fraction and 80 = 1% so 5600/80 will be your answer

Evalute n2+2N for N=5​

Answers

Answer:

Hey there!

Do you mean- [tex]n^2+2n?[/tex]

If so, then your answer would be 5^2+2(5), or 35.

Let me know if this helps :)

Which type(s) of symmetry does the following object have?
Select all that apply.

Answers

Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.

We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.

We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.

Answer:

Theres more than one answer so b and a

Step-by-step explanation:

root 64 divided by root 3 64​

Answers

Answer:

4

Step-by-step explanation:

4x4x4=64

Answer:

0.4193

Step-by-step explanation:

Root 64=8

Root 364=19.08...in 4 s.f

8÷19.08=0.4193...in 4 significant figures (4s.f)

Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1. In order to calculate his total score, you pick the two top scores and add them. What is his total score?

Answers

Answer:

14.6

Step-by-step explanation:

In the question, we are told that:

Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1.

In the question, we are also told that to calculate his total score, we add his top two scores.

Yivgeny's top two gymnastics scores are:

5.5 and 9.1.

Hence, his total scores = 5.5 + 9.1

= 14.6

Yivgeny's total scores = 14.7

Which function has only one x-intercept at (-6, 0)?
Of(x) = x(x-6)
O f(x) = (x - 6)(x - 6)
f(x) = (x + 6)(x - 6)
Of(x) = (x + 6)(x + 6)

Answers

Answer:

f(x) = (x + 6)(x + 6)

f(x)=0

x+6=0 ⇒ x=-6

Answer: D.  f(x) = (x+6)(x+6)

Set (x+6)(x+6) equal to zero and solve each equation for x. We really only have one equation and it would be x+6 = 0 which solves to x = -6.

Plug x = -6 into f(x) and you would get f(x) = 0.

what is a irrational number between 9.5 and 9.7

Answers

Step-by-step explanation:

x be an irrational number between 9.5 and 9.7.

So, we consider that  x = 9.562536941412578914...

Rounding to the nearest hundredth

x = 9.56.

9.56763865854637984..... (rounded 9.57)

irrational because it has no pattern

Answer:  [tex]\large \sqrt{91}[/tex]

Step-by-step explanation:

An irrational number is a square root in its simplest form.

We want an irrational number between 9.5 and 9.7

                               [tex]\huge 9.5<\sqrt x <9.7[/tex]

square all sides     90.25 < x < 94.09

Answer: The square root of any number between 90.25 and 94.09 will work so there are an infinite number of possible answers. [tex]\sqrt{91}, \sqrt{92}, \sqrt{93}, \sqrt{94}[/tex]

Which number is equal to 10^-3?
-1,000
-30
0.001
0.003

Answers

Answer: Choice C) 0.001

Work Shown:

10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001

The rule used here is x^(-k) = 1/( x^k )

Answer:

C. O.001

Step-by-step explanation:

10^-3 = (1)/(10^3)

move the negative exponent to the denominator

(1)/(1000)

simplify 10^3 in the denominator

(1)/(1000) = 0.001

. Find the sum of the geometric sequence. (1 point) 1, one divided by four, one divided by sixteen, one divided by sixty four, one divided by two hundred and fifty six

Answers

Answer:

0.332

Step-by-step explanation:

given series

1/4, 1/16,1/64.1/256

this is geometric series

where common ratio   r is given by

nth term/ (n-1)th term

let the second term is nth term and first term is (n-1)th term

r = 1/16 / (1/4) = 1/4

___________________________________________

sum of series is given by

a (1-r^n)/1-r

where a is first term

n is the number of terms

r is the common ration

___________________________________________

in the given series

1/4, 1/16,1/64.1/256

a = 1/4

r = 1/4

n = 4

thus ,

sum = 1/4(1-(1/4)^4)/ (1-1/4)

sum = 1/4(1-(1/256)/(4-1)/4

sum = 1/4((256-1)/256 / 3/4

1/4 in numerator and denominator gets cancelled

sum =( 255/256*3) = 255/768 = 0.332

Thus, sum of series is 0.332.

Answer:

341/256

Step-by-step explanation:

I took the test and got the answer right

You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341

Question is in the pic I really suck at this stuff can I get some help plssssss

Answers

Answer:

see below

Step-by-step explanation:

The hypotheses is the if part of the statement ( after the if)

hypotheses:  it is January

The conclusion is the  then part of the statement ( after the then)

conclusion  there is snow

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answers

Answer:

[tex] 9.3 + b = 14.5 [/tex]

Step-by-step explanation:

Longest side of ∆ = 2a = 6.2 cm

If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is

The sum of the 3 sides = perimeter = 14.5 cm

Thus,

[tex] a + 2a + b = 14.5 cm [/tex]

Plug in the values of a and b

[tex] 3.1 + 6.2 + b = 14.5 [/tex]

The equation that can be used to find the side lengths is [tex] 9.3 + b = 14.5 [/tex]

2 divided by 3 + 2 divedes by 3 +3 divided by 3 =?​

Answers

Answer:

1/5

Step-by-step explanation:

1/5

2/3+3/3+4/3

=2/5*3/6

= 1/5

I'm not sure.

Answer:

The answer should be 0.022

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Yes NoPlease only answer if you are able to answer correctly and entirely. Which best identifies the requirements for work to be performed? an object that has a force acting on it an object that is moving and has no net force a force acting on a motionless object a force that moves an object Highlight all the words that make up the complete subject of the sentence.Doing the tango was SpongeBob SquarePants's best party trick. What is most similar about the alkaline earth metals? Back to school Means? (04.06 HC) Lee la seleccin y contesta la pregunta segn la lectura. Read the selection and then respond to the question based on what you read. Cualquier persona que piense dedicar su vida profesional a los museos debera reconocer la difcil opcin de su formacin. El camino tradicional sera estudiar Historia o Historia del Arte, o tal vez, Bellas Artes. Podra dirigirse hacia asignaturas como museologa y museografa; despus, podra optar a algunas maestras sobre esta especialidad. Which person would most likely search for this article? A) A Juana siempre le ha gustado el arte. Su pasin es pintar al leo y ella espera algn da ganar dinero con sus pinturas. Lo que ms desea es tener sus obras en un museo. B) Penlope crea arte histrico con arcilla y piedra. Sus esculturas son muy populares en su comunidad y tiene varias ofertas de algunos museos para comprar su ms reciente escultura del presidente Obama. C) A Franco le encanta la historia y el arte. Le interesa conservar obras antiguas y le gustara trabajar como conservador de un museo y quiere saber que necesita para esa carrera. D) Vicente trabajaba en museos por muchos aos y ahora quiere ser profesor de historia. Especialmente le interesa la historia de arte. Quiere saber un poco ms sobre los requisitos de ser profesor. Based on this plot, which one of the following statements is not correct? The median room rate is $150 per night. There is one outlier in this data set. The 25th percentile in this data set is $130 per night. The second quartile in the data set is $160 per night. why do you think some people would want to buy a piece of clothing worn by a famous person? What would you do at a "cine?" dance see a movie eat play a game According to a study, the probability that a randomly selected teenagar shopped at a mall at least once during a week was 0.61. Let X be the number of students in a randomly selected group of 50 that will shop at a mall during the next week. (a) Compute the expected value and standard deviation of X. expected value standard deviation (b) Fill in the missing quantity. (Round your answer to the nearest whole number.)There is an approximately 2.5% chance that _____ or more teenagers in the group will shop at the mall during the next week. Find the first four terms of the sequence given a1=18 and an+1=2+an2. A. 18, 10, 6, 5 B. 18, 10, 6, 9 C. 18, 14, 6, 9 D. 18, 10, 6, 4 Given the two functions, which statement is true?fx = 3^4, g(x) = 3^x + 5 An ideal turbojet engine is analyzed using the cold air standard method. Given specific operating conditions determine the temperature, pressure, and enthalpy at each state, and the exit velocity. --Given Values--T1 (K) = 249P1 (kPa) = 61V1 (m/s) = 209rp = 10.7rc = 1.8Required:a. Determine the temperature (K) at state 2.b. Determine the pressure (kPa) at state 2.c. Determine the specific enthalpy (kJ/kg) at state 2.d. Determine the temperature (K) at state 3. Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium. How wrote the first Holy Quran??? And when???