Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X 30'. The ceiling height is 10'. What is the total volume of your cabin? Group of answer choices 9420 Cubic Feet 9240 Cubic Feet 9240 Square Feet 9420 Square Feet

Answers

Answer 1

Answer: [tex]9240\ ft^3[/tex]

Step-by-step explanation:

Given

Dimension of the bathroom is [tex]12'\times 16'[/tex]

Dimension of the bedroom is [tex]14'\times 18[/tex]

Dimension of the great room is [tex]20'\times 30'[/tex]

Height of the ceiling is [tex]h=10'[/tex]

Total area of the cabin

[tex]\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2[/tex]

Volume of the cabin is [tex]V=A\times h[/tex]

[tex]\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3[/tex]


Related Questions

Find the least length of a rope which can be cut into whole number of pieces of lengths 45cm, 75cm and 81 cm

Answers

The least is 45 bc it is less than the other 2

y' = (x+1/[tex]\sqrt{x^{2} +1[/tex]

Answers

Answer:

Solving for x (rearranging) you get:

(x^3+x+(x^2+1)^1/2)/x^2+1=y

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and solving for y by isolating y

can you help me i got two wrong if I get one wrong I will have a falling grade

Answers

Answer:

the bottom left is wrong

Step-by-step explanation:

if u add 40+5+7/10+1/100 it'll only equal to 45.71

Answer:

40 + 5 + [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{100}[/tex] = 45.71

Step-by-step explanation:

The one needs to be in the thousandths place.

help asap please. it's for a grade.​

Answers

answer:
788 cm^2
step-by-step explanation:
sa = 2(lw + lh + wh)
l = length w = width h = height
let’s do each one separately
first the pink one
length = 5 width = 6 height = 20
sa = 2(5(6) + 5(20) + 6(20))
sa = 2(30 + 100 + 120)
sa = 2(250)
sa = 500
now the purple
length = 6 width = 4 height = 12
sa = 2(6(4) + 6(12) + 4(12))
sa = 2(24 + 72 + 48)
sa = 2(144)
sa = 288
now add them
500 + 288
788 cm^2

Which property of equality would be used to isolate the variable b in this equation?

3/4 x b = 12

A. addition property of equality

В. subtraction property of equality

C. multiplication property of equality

D. symmetric property of equality

Answers

Answer:

C. multiplication property of equality

Step-by-step explanation:

3/4b = 12

Multiply each side by 4/3 using the multiplication property of equality

4/3* 3/4b = 12*4/3

b = 16

cho tam giác ABC cân tại A trung tuyến AM.Biết BC=6cm,AM=4cm .Tính độ dài các cạnh AB và AC

Answers

Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:

AM là trung tuyến của t/giác ABC nên M là trung điểm BC:

=> BM =BC/2 =6:2=3(cm)

Xét tam giác AMB vuông tại M

AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)

en el coliseo de una ciudad, se jugo la final de un campeonato de voley . En total , 1200 personas asistieron al coliseo . esta cantidad de personas representa a los 3/4 de su capacidad. ¿Cual es la capacidad que tiene este coliseo?
a)900
b)1200
c)1600
d)4800

Answers

c. 1600

1200 : 3 * 4

= 400 * 4

= 1600

The capacity of this coliseum is 1600

The correct option is (C)

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

Total people attended the Coliseum= 1200

let he capacity be x

3/4*x= 1200

x= 1200*4/3

x= 1600

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ6

Your question is incomplete/other language, probably the traslated question/missing part is:

In a city coliseum, the final of a volleyball championship was played. In total, 1,200 people attended the Coliseum. this number of people represents 3/4 of its capacity. What is the capacity of this coliseum?

help asap
Find the area of the circle.
Use 3.14 for n. Do not round your
answer.
Area = [?] inches
11 inches
Enter the number that
belongs in the green box.

Answers

Answer:

A = 94.985

Step-by-step explanation:

Formila for area of a circle is A = pi * radius²

Just plug in your numbers for: A = 3.14 * 5.5²

The radius is 5.5 because the diameter is 11

A = 94.985

Louis bought 16 cookies at the bakery. He had a
coupon for $7 off his entire purchase. He ended up
paying $13.32. Write an equation to find how much
each cookie originally cost.

Answers

Answer:

16x -7 =$13.32

Step-by-step explanation:

$13.32 + $7 = $20.32

$20.32 divided by 16 = $1.27

each cookie cost $1.27

I really hope this help

Answer:- 16x - 7 = 13.32

Also cost of each cookie = $1.27

Explanation:

Let the cost of each cookies be x

ATQ

16x -7 = 13.32

We will mutiply x with 16 because he purchased 16 cookies.

Also he had coupon of $7 which means $7 off which is why -7

And 13.32 is the amount he paid

Now lets solve it

16x - 7 = 13.32

16x = 13.32 + 7

16x = 20.32

x = 20.32/16

x = 1.27

Therefore cost of each cookie is $1.27

please click thanks and mark brainliest if you like :)

A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?

Answers

Answer:

The area of tarpaulin is 1315.63 ft^2.  

Step-by-step explanation:

height, h = 20 feet

circumference, C = 102 feet

Let the radius is r.

Circumference, C = 2 x 3.14 x r = 102

r = 16.24 feet

Let the slant height is L.

[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]

The curved surface area is

S = 3.14 x r x L

S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2

Answer:

400pi square feet

Step-by-step explanation:

Find the radius

Find the slant height

Put it in the formula for a cone but take the circumference part out

Divide your answer by pi

The question asks for the closest answer

400pi square feet is the closest option to 418.17pi square feet.

HELP PLEASE ITS URGENT PLEASE

Answers

Answer: 17

Step-by-step explanation:

Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7

10 +7 is 17.

also i hope this helps and i hope this is not a test...

If f(x) = 2x + 1 and g(x) = x2 - 2, find f(g(3)).

Answers

Answer:

15

Step-by-step explanation:

g(3)=(3)^2-2=7

f(g(3))=f(7)=2*7+1=15

Answer:

9?

Step-by-step explanation:

f(3*2-2)

=4

then

2*4+1

=9 is the answer

Given that h(x) = 5-2x, find the value(s) of x when h(x) =3​

Answers

Answer:

x=1

Step-by-step explanation:

We have,

h(x) = 5-2x

h(x)=3

Now,

h(x)=5-2x=3

or,5-2x=3

or,5-3=2x

or,2/2=x

Therefore, x=1 when h(x)=3

Answer:

x = 1

Step-by-step explanation:

h(x) = 3

5 - 2x = 3

2x = 2

x = 1

What is the value of a in the equation 3 a plus b equals 54, when b equals 9?

15
18
21
27

Answers

Answer:

a=15

Step-by-step explanation:

3a+b = 54

Let b=9

3a+9 = 54

Subtract 9 from each side

3a+9-9= 54-9

3a = 45

Divide each side by 3

3a/3 = 45/3

a = 15

Answer:

[tex]3a+b=54[/tex]

[tex]3a+9=54\:[b=9][/tex]

[tex]3a=54-9[/tex]

Subtract 9 from both sides

[tex]3a=45[/tex]

Divide both sides by 3

[tex]\frac{3a}{3}=\frac{45}{3}[/tex]

[tex]a=15[/tex]

OAmalOHopeO

so i need help with this pls i suck at algebra

Answers

Answer:

The 5x^2 vs -5x^2 will reflect over "X" axis

the +1 vs -2 will shift the graph down three units

the first answer is the correct answer

Step-by-step explanation:

3. If bº = 110°, what is the value of gº?

Answers

Answer:

hello mate <3

u see here its a quadrialteral

with 4 angles b , d , 70 , g

so b + d + 70 + g = 360

now u see 60 + d = 180 (straight line)

d = 120 and b = 110 ( given)

so

110 + 120 + 70 + g = 360

g + 300 = 360

g = 360 - 300 = 60 degrees option c

brainliest?

1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle b) Find the acceleration of the particle c) Find the velocity of the particle

Answers

Answer: [tex]\left | 2t-5\right |,\ 2,\ 2t-5[/tex]

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

[tex]s(t)=t^2-5t+1[/tex]

Speed of the particle is given by

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |[/tex]

Acceleration of the particle is

[tex]\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2[/tex]

velocity can be negative, but speed cannot

[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5[/tex]

Please help explanation if possible

Answers

Answer: ? = 5

Explanation:

y < mx + b

b is y-intercept
mx is slope

To find b I count from (0,0) upward a long the y-axis where the line intercept at point (0,5). So 5 - 0 = 5 therefore, b = 5

What's a very complex equation that equals 3

Answers

got this from a website, hope it helps!

Someone please help

Answers

Answer:

Why wont anyone help me please

An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $6600 and his stock in Company B was worth $3500.
The stock in Company A has increased 7% since last year and the stock in Company B
has increased 1%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).

Answers

22.7%

Given that last year stock for company A was $7200
The stock for company B last year was worth $3510
Stock in company A decreased by 24%
This means the new value of stock for company A became;
(100-24)/100 *$7200
76/100*$7200
0.76*7200 =$5472
Stock in company B decreased by 20%
This means the new value of stock for company B became;
(100-20)/100 *$3510
80/100*$3510
0.8*$3510
$2808
Original investors stock value was = $7200+$3510 =$10710
New investors stock value is = $5472+$2808=$8280
Decrease in value of stock = $10710-$8280 =$2430
percentage decrease in stock value = decrease in stock/original value of stock *100%
=2430/10710 *100 =22.689
=22.7%

Someone else had the same problem answered
So here it is

What is the slope of the line that
passes through these two points?
(0, 2)
(3, 8)
Remember, given two points,
(x1, yı)
Slope
rise (y2-yı)
(X2,92) run (x2-x1)
Simplify your answer completely.
Enter

Answers

Answer:

2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

m = ( 8-2)/(3-0)

   = 6/3

   = 2

Answer:

2

Brainliest, please!

Step-by-step explanation:

(0, 2)(3, 8)

y = +6

x = +3

y/x = 6/3 = 2

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22. A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.What is the null hypothesis in this case

Answers

Answer:

The null hypothesis is [tex]H_0: p = 0.22[/tex]

Step-by-step explanation:

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22

This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:

[tex]H_0: p = 0.22[/tex]

A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.

At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:

[tex]H_1: p < 0.22[/tex]

Proportion problems
8 chickens would lay 20 eggs in 3 days.
If chickens always lay eggs at the same rate,
a) how many days would it take to chickens to lay 100 eggs?
= 10 days
b) how many chickens would be required if a farmer needed 30 eggs each day?
i need help how to do question b. i know answer bu,.t i need explaining.
:]

Answers

Ok so u know the answer is 12 right. The answer would be that we need 12 chickens to lay 30 eggs a day because 4+4= 8 chickens 10+10= the 20 eggs in three days. So adding 4 more chickens would be 12 chickens which would add another 10 eggs making it 12 chickens laying 30 eggs a day

Prove:1/sin²A-1/tan²A=1​

Answers

Step-by-step explanation:

1/sin^2A -cos^2A/sin^2 A. ~tan = sin/cos

(1-cos^2)/sin^2A. ~ take lcm

sin^2A/sin^ A. ~ 1-cos^2A = sin^2A

1

for more free ans check bio

Answer:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]

Step-by-step explanation:

Prove that:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]

Recall that by definition:

[tex]\displaystyle \tan x=\frac{\sin x}{\cos x}[/tex]

Therefore,

[tex]\displaystyle \tan^2x=\left (\frac{\sin^2x}{\cos^2x}\right)^2=\frac{\sin^2x}{\cos^2x}[/tex]

Substitute [tex]\displaystyle \tan^2x=\frac{\sin^2x}{\cos^2x}[/tex] into [tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\frac{\sin^2x}{\cos^2x}}=1[/tex]

Simplify:

[tex]\displaystyle \frac{1}{\sin^2x}-\frac{\cos^2x}{\sin^2x}=1[/tex]

Combine like terms:

[tex]\displaystyle \frac{1-\cos^2x}{\sin^2x}=1[/tex]

Recall the following Pythagorean Identity:

[tex]\sin^2x+\cos^2x=1[/tex] (derived from the Pythagorean Theorem)

Subtract [tex]\cos^2x[/tex] from both sides:

[tex]\sin^2=1-\cos^2x[/tex]

Finish by substituting [tex]\sin^2=1-\cos^2x[/tex] into [tex]\displaystyle \frac{1-\cos^2x}{\sin^2x}=1[/tex]:

[tex]\displaystyle \frac{\sin^2x}{\sin^2x}=1,\\\\1=1\:\boxed{\checkmark\text{ True}}[/tex]

Javier works at a print shop. He starts printing at 8:00 a.m. The number of printed brochures is a linear function of the number of minutes since Javier started printing. By 8:50 a.m. he had printed 240 brochures, and by 9:00 a.m. he had printed 288. Write an equation in the form y = mx + b that represents the number of brochures, y, that were printed after x minutes.

Answers

Answer:

y = 4.8(x) + 0

Step-by-step explanation:

In this question, Javier managed to print 240 brochures in 50minutes from 8:00 to 8:50. If we divide these values we see that he printed 4.8 brochures per minute. The same result is given for the 10 minutes from 8:50 to 9:00 where he printed 48 brochures. Therefore, we can get the following linear formula from these values.

y = 4.8(x) + 0

In this case, b would equal 0 because Javier is starting from 0 brochures made when he gets to work at 8:00 a.m

ײ × ×⁴=ײ+⁴ find the ×​

Answers

You have to do X to the power of two times X to the power of four and multiply that by itself and then multiply X to the power of 2+4 by itself to find the X

The 5. one please 100 points

Answers

Answer:

Ok so 5 and tens least common denominator is 10. So 6/10- 2/10 (1/5×2=2/10)= 4/10. so now take 4/10 and 1/4 and find the lcm Which is 20 so 4/10×2 is 8/20+10/20=

18/20

[tex]\\ \sf\longmapsto \dfrac{6}{10}-\dfrac{1}{5}+\dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2-4+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-2+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}[/tex]

Hello:) how to do question 6? :) I’m not sure which property to use :/

Answers

Answer:

which grade are you in so that i can tell you according to that

i, vì AD//BC nên góc A +góc B =180°

ii, góc A=góc B nên góc C=góc D -> ABCD là hình bình hành

And AB=BC=> ABCD là hình thoi

Rewrite as a simplified fraction.
3.2 = ?
(Repeating)

Answers

Answer:

Step-by-step explanation:

29/9 or 3 2/9

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Alex wants to test the reliability of lie detector tests, or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places. Chelsea Rochman, an ecologist at the University of California, Davis, has been trying to answer a dismal question: Is everything terrible, or are things just very, very bad? A store is having a sale on chocolate chips and walnuts. For 8 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $34. For 2 pounds of chocolate chips and 5 pounds of walnuts, the total cost is $17. Find the cost for each pound of chocolate chips and each pound of walnuts. please someone help me asap!!!! maths class 9Multiply: 412 212 Nahuatl is the language spoken by the Nahua ethnic group that is found today in Mexico, but with deep historical roots. You might know one Nahua group: the__________________, more accurately called the Mexica. The Mexica were one of many Mesoamerican cultural groups that flourished in Mexico prior to the arrival of Europeans in the sixteenth century. Craig and Cindy working together can mow the lawn in four hours working alone Cindy takes twice as long as Craig how long does it take Craig to mow the lawn alone -1/4 (x+2)+5=-x I really need help A s'more requires 2 graham cracker squares, 1 marshmallow, and 3 chocolate pieces. If an entire chocolate bar contains 12 chocolate pieces, a marshmallow bag contains 40 marshmallows, and a graham cracker package contains 48 squares, how many s'mores can you make from 8 chocolate bars, one bag of marshmallows, and a package of graham crackers? make a factor tree for 42 3 is a polynomial of degree ________. Select the equation written in slope intercept form that corresponds to the given slope y intercept As I was crossing the street, I _______ (catch) sight of an old friend of mine in a restaurant. * please help me with this this is Computer chapter Advanced HTML of class 8th A right cylinder has a radius of 3 and a height of 12. What is its surface area?O A. 9077 units2B. 72 units2O C. 10877 unitsD. 457 units2 Articles of the code of ethics are broad statements of ethical principles and the standards of practice support, interpret and amplify the respective articles What does second epitaph in two days mean? Explain. what are the phages of development ? How does the Declaration of Sentiments seem to define freedom for women? An 8C charge is moving through a 10T magnetic field at a speed of 2.5107 m/s perpendicular to the direction of the field. What is the force on the charge