An architect is designing a house. She wants the bedroom to have the dimensions of 10 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom?

Answers

Answer 1

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Does the den have double the volume of the bedroom?

Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.

Volume of rectangular prism is expressed as;

V = l × b × h

Given that;

Length of the bedroom l = 10ftBreadth of the bedroom B = 4ftHeight of the bedroom h = 7ftLength of the den = 2l = 2×10ft = 20ftBreadth of the den = 2B = 2×4ft = 8ftHeight of the den  = 2h = 2×7ft = 14ft

First we calculate the volume of the bedroom.

V = l × b × h

Vr = 10ft × 4ft × 7ft

Vr = 280ft³

Next, we determine the volume of the den

V = l × b × h

Vd = 20ft × 8ft × 14ft

Vd = 2240ft³

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Learn more about the volume of rectangular prism here: https://brainly.com/question/27804313.

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Related Questions

PLEASE HELP 10 POINTS!!

Answers

Answer:

I think its c but not really sure but ill calculate it if I ever had the chance

number 21 please and thank you

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

sin =opposite/hypotenuse

sinQ=5/6

Will give brainiest for this question and my other question too!
BC=
4. Given the figure and DG = 23
D 2x-9 0
x + 3
G
X =
DO =
OG =

Answers

Answer:

x = 13

DO = 7

OG = 16

Step-by-step explanation:

If the sum of the entire figure is DO + OG = 23, then we can create the equation:

(2x-19)+(x+3)=23

From this equation, we can identify that x = 13.

We can use this information to find your final answers of...

x = 13

DO = 7

OG = 16

Question: Add the decimals
591.79+528.192 =
312.7+2.566 =
235.977+61.889​

Answers

Answer:

1. 1119.982

2. 315.266

3. 297.866

Answer:

1. 1119.982

2. 315.266

3. 297.866

Look at the rectangle. Write how many.
How many rows?
How many columns?
How many square tiles

Answers

There is only one row

3 columns

and 3 square tiles

Evaluate the determinant

Answers

d. negative 67 because laplace’s expansion

please help me i’ll give you brainlist

Answers

Answer:

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Step-by-step explanation:

f(x)  = -5x + 2

Compare this with y = mx + b

m = slope =  co efficient of x

b =  y-intercept = constant term

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Mayerlin models the volume of a popcorn box as a right rectangular prism and the box can hold 49 cubic inches of popcorn when it is full. Its length is 2\frac{3}{4}2
4
3

in and its height is 5\frac{1}{2}5
2
1

in. Find the width of the popcorn box in inches. Round your answer to the nearest tenth if necessary.

Answers

The width of the popcorn box that Mayerlin models given its dimensions and the volume is 3.2 inches.

What is the width?

A rectangular prism is a three-dimensional shape that is made up of six faces and 12 sides.

Volume = length x width x height

Width = volume / (length x height)

49 / (2 3/4 x 5 1/2) = 3.2 inches

49 To learn more about rectangular prisms, please check: https://brainly.com/question/8890358

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Answer:3.2

Step-by-step explanation:

PLEASE HELP ASAP
prove the identity:
sec x sin x
—————— =sin^2x
tan x+cot x
Options in pic

Answers

Answer:

See below

Step-by-step explanation:

[tex]\displaystyle \frac{\sec x\sin x}{\tan x+\cot x}\\\\=\frac{\frac{1}{\cos x} \sin x}{\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}}\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin x \sin x}{\cos x \sin x} + \frac{\cos x \cos x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin^2 x}{\cos x \sin x} + \frac{\cos^2 x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2 x+\cos^2 x}{\cos x \sin x} }\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{1}{\cos x \sin x} }[/tex]

[tex]=\frac{\sin x}{\cos x}\cdot \sin x \cos x\\ \\=\frac{\sin x \sin x \cos x}{\cos x}\\ \\=\sin^2x[/tex]

Thus, the identity is proven. Match the options up accordingly to my step-by-step process.

1. Suppose that the time required to drive across town is uniformly distributed between 12 and 20 minutes. What is the simulated (average)
time to cross town using the following random numbers: 0.21 0.53 0.05 0.89 015 0.73 0.06 0.28 0.81 0.74 (rounded to 2 decimal place)

Answers

Using the mean concept, it is found that the simulated average time to cross town is of 0.445.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, the 10 values of the simulation are given by:

0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74

Hence, the mean is given by:

M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.

More can be learned about the mean concept at https://brainly.com/question/24628525

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the lateral area the regular pyramid.


LA. =

Answers

Answer:

Lateral surface area = [tex]18\sqrt{91}[/tex] units²

                                 = 171.71 units²

Step-by-step explanation:

Lateral area:  total surface area excluding its base

Find the radius (circumradius) of the regular hexagonal base.  Use this to find the slant edge of the pyramid, then use the slant edge to find the slant height and thus the area of each face.

Radius of a regular polygon: distance from its center to its vertices.

[tex]\textsf{Radius of a regular polygon}=\dfrac{s}{2 \sin \left(\dfrac{180^{\circ}}{n}\right)}[/tex]

where:

s = side lengthn = number of sides

Given:

s = 6 unitsn = 6

[tex]\implies \textsf{Radius}=\dfrac{6}{2 \sin \left(\dfrac{180^{\circ}}{6}\right)}=6\:\sf units[/tex]

Use Pythagoras' Theorem to find the slant edge:

[tex]\begin{aligned}\textsf{Slant edge} & =\sf \sqrt{r^2+h^2}\\& = \sqrt{6^2+8^2}\\ & = 10\:\sf units\end{aligned}[/tex]

Use Pythagoras' Theorem to find the slant height:

[tex]\begin{aligned}\textsf{Slant height} & = \sqrt{\textsf{slant edge}^2-\left(\dfrac{s}{2}\right)^2}\\& =\sqrt{10^2-3^2}\\ & =\sqrt{91}\: \sf units\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of one face} & = \dfrac{1}{2} \times s \times \textsf{slant height}\\\\ & = \dfrac{1}{2} \cdot 6 \cdot \sqrt{91}\\\\ & = 3\sqrt{91}\: \sf units^2\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Lateral Surface Area}& = 6 \times \textsf{area of one face}\\ & = 6 \cdot 3\sqrt{91}\\ & = 18\sqrt{91}\\ & =171.71\: \sf units^2\:(nearest\:hundredth)\end{aligned}[/tex]

The length of a rectangle is 2 yd longer than its width.
If the perimeter of the rectangle is 48 yd, find its length and width.

Answers

Width is 11 length is 13

Cooking oil is sold 250ml packets. How much money would Joshua pay for 1litre of cooking oil,if the market price of 1/2litre is 1700​

Answers

Answer:

3400

Step-by-step explanation:

1L=1000ml

½L=500ml price = 1700

2(500)=2(1700)

1000L= 3400

hence Joshua will pay R3400 for 1L of cooking oil

Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4.
Is this a reasonable answer?
A. Since - 5.3 rounds to -5 and 7.9 rounds to 7, the sum rounds to 2. Her answer of 2.4 rounds to 2. So, it is reasonable.
B. Since -5.3 rounds to -6 and 7.9 rounds to 7, the sum rounds to 1. Her answer of 2.4 rounds to 2. So, it is reasonable.
C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 2. So, it is not
reasonable.
D. Since -5.3 rounds to -5 and 7.9 rounds to 8, the sum rounds to 3. Her answer of 2.4 is not equal to 3. So, it is not
reasonable.

Answers

Answer:

D.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

the sum of the two rounded is 3

her answer of 2.4 rounds to 2, not 3

so her answer is not reasonable

Look at the diagram. Which angle is supplementary to Angle AOD
Angle AOB
Angle BOA
Angle AOE

Answers

Answer:

A supplementary angle plus another angle = 180 degrees

Angle AOB is the supplementary angle

A straight line = 180 degrees so,

So angle AOD + angle AOB = 180 degrees

Angle AOB is the supplementary angle.

Step-by-step explanation:

I need help plss. I’m getting frustrated!!

Answers

Answer: Irvin wrote the point at the wrong coordinate

Step-by-step explanation: Irvin wrote it at (3,4) instead of (4,3)

[should have gone right four, up three instead]

Answer:

The coordinates have been mixed up.

Step-by-step explanation:

The given coordinates were (4, 3) where 4 is the x-coordinate and 3 is the y-coordinate. Here, Irvin has taken the point (3, 4) where 3 is the x-coordinate and 4 is the y-coordinate. Hence, he mixed up the coordinates of the point.

Justine bought a pair of boots for $76.68 and paid 13% sales tax. What was the price of these boots including tax?

Answers

Answer: $86.65

Step-by-step explanation:

First, find how much Justine paid in tax. To do this, first convert 13% to a decimal by dividing by 100. This gets a tax rate of 0.13. Now, multiply the price of the boots by the tax rate. 76.68*0.13 = 9.9684. Round to the nearest cent to get $9.97.

Now, add the amount paid in tax to the price of the boots. 76.68+9.97 = $86.65.

expression - 50 + 5/13p is equal to ____ when p = -26

Answers

Answer: : it’s 40

hope this helps :)

Step-by-step explanation: Just substitute the variable with the number and use pemdas.

First you have to multiply 5/13 by -26, then add 50 to what you get.

Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?

Answers

Answer:

i can help you

Step-by-step explanation:

mabey its hard for you

help me plsssssssssssssssssssss

Answers

Answer:

can i please have somepoints

Step-by-step explanation:

i need to get an answer to a question and if i don't i might fail a really hard test

Answer:

19/29 probability of bieng an only child

Step-by-step explanation:

Find the measure of angle t

Answers

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

➢Given two lines are intersecting lines➢ as it's clearly known when two or more lines meet each other at a specific points is said to be as intersecting lines nd they must be having a common point ➢Here angle t and angle 120⁰ forms adjacent anglesand sum sum of adjacent angles is 180⁰

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}[/tex]

[tex] \sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}[/tex]

Hope it helps !

7 > −3; Subtract 7 from both sides.

The resulting inequality is :

Answers

Answer:

0 > -10

True

Step-by-step explanation:

7 > -3 Starting with a true statement. This math sentence says, "7 is greater than -3"

7 > -3

-7 -7 Subtract 7.

Working vertically now (from the top, down)

7 > -3

-7 -7

_______

0 > -10

Because 7-7 is 0 on the left side. And

-3-7 is -10 on the right side. This statement is true, because zero is bigger than -10.

NO LINKS!! Please help me with this problem​

Answers

Answer:

Mix A is 2 unitsMix B is 1 unitMix C is 3 units

Step-by-step explanation:

Let amount of Mix A is a, Mix B is b, Mix C is c.

With the given details, we get the following system

5a + 6b + 4c = 284a + 2b + c = 133a + 4b + 4c = 22

Find the value of c (the easiest one) for substitution

c = 13 - 4a - b

Substitute c into the first equation

5a + 6b + 4(13 - 4a - 2b) = 285a + 6b + 52 - 16a - 8b = 28- 11a - 2b = 28 - 5211a + 2b = 24      (5)

Substitute c into the third equation

3a + 4b + 4(13 - 4a - 2b) = 223a + 4b + 52 - 16a - 8b = 22- 13a - 4b = 22 - 5213a + 4b = 30       (6)

Double the equation (5) and subtract (6), find the value of a

2(11a + 2b) - 13a - 4b = 2(24) - 3022a - 13a = 48 - 309a = 18a = 2

Find b

11*2 + 2b = 2422 + 2b = 242b = 2b = 1

Now find c

c = 13 - 4*2 - 2*1 c = 13 - 8 - 2c = 3

Simplify 5(xy+z)-2xy.

Answers

Answer:

3xy+5z

Step-by-step explanation:

5(xy+z)-2xy

=5xy+5z-2xy

3xy+5z

If you get $10 starting May 21 2022 for every 8 days till October 1. How Much money will you have?

Answers

Answer:

$160

Step-by-step explanation:

the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.

[tex]133/8=16.625[/tex]

[tex]\approx16[/tex]

multiply 16 by $10 to get $160

Write an equation that represents the line.
Use exact numbers. please help and i cant get it wrong if ur answer isn’t right pls don’t put it fr

Answers

Answer:

y = (3/4)x-9/2

Step-by-step explanation:

We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have

[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]

5b8c3
The degree of the monomial is?

Answers

Answer:

8

Step-by-step explanation:

The given monomial is :

5b⁸c³

The degree of the monomial is the highest power to which a variable is raised to in the monomial. The greatest power in this case belongs to b⁸, which has a power of 8.

Hence, the degree of the monomial is 8

Figure out this equation I already attempted to do it multiple times

Answers

Here's the link to the answer:

https://riverside.rocks/index.php

It’s a squared plus b squared

URGENT AND IMPORTANT. WILL GIVE BRAINLIEST TO FASTEST CORRECT ANSWER. PLEASE ANSWER ASAP. PHOTO ATTACHED OF PROBLEM.

Answers

Answer:

A

B

C

and

D

Step-by-step explanation:

A

B

C

and

D

Please help. What is the area?

Answers

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²

What is the Area of a Composite Figure?

Find the area of each shape that make up the figure, then add up to get the area of the composite figure.

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle

Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²

Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²

Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²

The area of the composite figure = 18 + 20 + 18 = 56 km²

Learn more about area of composite figure on:

https://brainly.com/question/23781238

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