A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. What is the total volume of the composite figure?

Answers

Answer 1

The total volume of the composite figure is 64 in³.

Volume of a rectangular prism

The volume of a rectangular prism, V = lwh where

l = length, w = width and h = heightVolume of horizontal rectangular prism

Since horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,

l = 8 in, w = 2 in and h = 2 in.

So, its volume V' = lwh

= 8 in × 2 in × 2in

= 32in³

Volume of vertical rectangular prism

Since the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,

l = 2 in, w = 2 in and h = 8 in.

So, its volume V" = lwh

= 2 in × 2in × 8 in

= 32 in³

Volume of composite figure

The volume of the composite figure V"' = V' + V"

= 32 in³ + 32 in³

= 64 in³

So, the total volume of the composite figure is 64 in³.

Learn more about volume of rectangular prism here:

https://brainly.com/question/16065525


Related Questions

help me please

in a sale, the normal price of a hat is reduced by 15%
The sale price of the hat is 20.40 euros.
Work out the normal price of the hat.

Answers

Answer:

The correct answer is 24

Step-by-step explanation:

To solve this math problem, you will need to divide 20.40 with 1 (1 is 100% as a decimal) and 0.15 (0.15 is 15% as a decimal).

--

[tex]20.40[/tex] ÷ [tex](1-0.15)[/tex]

--

First, subtract 1 and 0.15

[tex]1-0.15=0.85[/tex]

Next, divide 20.40 and 0.85

[tex]20.40[/tex] ÷ [tex]0.85 = 24[/tex]

--

Therefore, the final product of this math problem is 24

Use the hundredths grid to answer the question.
Describe the decimal multiplication equation and product shown by the model. Include details of where each part of the equation is found on the model.

Answers

The question is an illustration of multiplication model.

The multiplication model is: [tex]\mathbf{0.90 \times 0.10 =0.09}[/tex]

From the figure, the shaded portions are:

[tex]\mathbf{Green = \frac{90}{100}}[/tex]

[tex]\mathbf{Orange = \frac{10}{100}}[/tex]

So, the multiplication model represents:

[tex]\mathbf{Model =Green \times Orange}[/tex]

This gives

[tex]\mathbf{Model =\frac{90}{100} \times \frac{10}{100}}[/tex]

Express as decimal

[tex]\mathbf{Model =0.90 \times 0.10}[/tex]

[tex]\mathbf{Model =0.09}[/tex]

Hence, the multiplication model is:

[tex]\mathbf{0.90 \times 0.10 =0.09}[/tex]

Read more about multiplication models at:

https://brainly.com/question/1928793

Evaluating





100 points worth is it worth it. Also giving out brainliest to the right or closest right answer.

Answers

D) 4 is the answer use the rule of BODMAS

Answer:

C

Step-by-step explanation:

8x2= 16

8x3 = 24

24+16 =40

40/4 = 10

10-8 = 2

We can calculate the total price in dollars (d) based on the pounds of ribeye steak (s) sold using the equation d=8s. What would be the total price (d) of 4 pounds of steak?

Answers

Answer:

$32

Step-by-step explanation:

The variables in this equation are already defined. So we know that whatever d is equal to will be the cost, and therefore, the final answer. Additionally, s is the number of pounds of steak, so it is an independent variable. To solve this equation, plug in the number of pounds, 4, into the equation for s. Also, 8 is the unit price for the steak, so this multiplied by the amount of steak must be the total cost. This makes the new equation, d=8(4). Finally, multiply these numbers to get d=32. So the final cost for 4 pounds of steak must be $32.

Answer:

32 dollars

Step-by-step explanation:

The Equation to calculate the total price(d) based on the pounds of ribeye steak(s) sold if given as:

d = 8S

So, to calculate the total price(d) of 4 pounds of steak, all we need do is to substitute 4 into the given formula

That is,

d = 8(4)

d = 32 dollars

Therefore the price of 4 pounds of steaks is 32 dollars

Jeff wants to buy tickets for a football game for his friends. The stadium is selling tickets for $7 each. The stadium requires a
person to buy at least 4 tickets, and at most 8 tickets. Let x represent the number of tickets, and y represent the total cost.
What is a reasonable range for the price Jeff would pay for tickets?
Group of answer choices



{11, 18, 25, 32, 39}

{28, 35, 42, 49, 56}

{4, 5, 6, 7, 8}

{28, 42, 56, 70, 84}

Answers

Your answer is D){28, 42, 56, 70, 84}

To answer this question you just have to make sure the amount he pays is a multiple of 7.If you know you times table then this should be easy

Times table of 7:

7,14,21,28,35,42,49,55,63,70,77,84.

Now you just need to find an answer choice who has these numbers.Lets check it out!

A) 11 isn't a multiple of 7

B) 56 isn't a multiple of 7

C) None of these are multiples of 7 except 7 so this is also incorrect

D) This is correct because they are all multiples of 7

Hope this makes sense.

Convert 34.0 dm to km. Show all work.

Answers

Step-by-step explanation:

Convert 34 Decimeters to Kilometers (dm to km) with our conversion calculator and conversion tables. To convert 34 dm to km use direct conversion formula below.

34 dm = 0.0034 km.

You also can convert 34 Decimeters to other Length (popular) units.

Answer:

34dm=0.0034km

Step-by-step explanation:

1dm=0.0001km

0.0001 times 34= 0.0034.

Which expressions represent the product of a variable and a coefficient?

Answers

Answer:

dfhlfbfuewbbfv

Step-by-step explanation:

Answer:  There is not variables?

Step-by-step explanation:


I will mark brainliest!!

Answers

x= - 11 dhhdbddhdjdjjddb

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{\sqrt{121} = x^2}}[/tex]

[tex]\huge\boxed{\mathsf{x^2 = \sqrt{121}}}[/tex]

[tex]\large\boxed{\large\boxed{\bullet\rm{ \ TAKE \ your \ SQUARE \ ROOT}}}[/tex]

[tex]\huge\boxed{\mathsf{x = \pm \sqrt{121}}}[/tex]

[tex]\large\boxed{\large\boxed{\bullet\ \rm{The \ symbol\ \boxed{\pm}\ means \ plus \ or \ minus, so \ that \ means}}}\\\large\boxed{\boxed{\rm{either \ the \ result \ will \ be \ \underline{\underline{positive}} \ or \ \underline{\underline{negative}}}}}}}\large\checkmark[/tex]

[tex]\huge\boxed{\mathsf{\sqrt{121} = -\sqrt{121}}}[/tex]

[tex]\huge\boxed{\sqrt{121} = \bf 11}[/tex]

[tex]\huge\boxed{\mathsf{-\sqrt{121} = \bf -11}}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{x = -11 or x = 11}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The graph shows the amount of money you and a friend are saving for a camping trip.

You: 4 weeks 60 dollars. 8 weeks 120 dollars.
Friend: 2 weeks 40 dollars. 5 weeks 100 dollars

B) Find the slope of each line.

C) How much more money does your friend save each week than you?

D) The camping trip costs $165. How long well it take you to save enough money

Answers

slope for me is 15 dollars per week. slope for my friend is 20 dollars per week. my friend saves 5 dollars more per week. it takes me 11 weeks to save enough money for the gay camping trip

please help me solve x please

Answers

Answer:

x = 5

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In the given problem, the exterior angle is < B, and the non-adjacent interior angles are < D and < C.

Given that:

< B = 12x + 8

< D = 8x + 8

< C = 20°

Set up the following formula to solve for x:

(8x + 8) + 20 = 12x + 8

Combine like terms:

8x + 28 = 12x + 8

Subtract 8 from both sides:

8x + 28 - 8 = 12x + 8 - 8

8x + 20 = 12x

Subtract 8x from both sides:

8x - 8x + 20 = 12x - 8x

20 = 4x

Divide both sides by 4 to solve for x:

20/4 = 4x/4

5  = x

Therefore, x = 5.

Which quadratic equation contains the three points (-4,12), (2,42), and (3,40)

Answers

The quadratic equation that contains the three points is y = -x² + 3x + 40

A quadratic equation is in the form:

y = ax² + bx + c

At point (-4, 12):

12 = a(-4)² + b(-4) + c

16a - 4b + c = 12      (1)

At point (2, 42):

42 = a(2)² + b(2) + c

4a + 2b + c = 2      (2)

At point (3, 40):

40 = a(3)² + b(3) + c

9a + 3b + c = 40     (3)

Solving equation 1, 2, and 3 gives:

a = -1, b =3, c = 40

y = -x² + 3x + 40

Hence the quadratic equation is y = -x² + 3x + 40

Find out more at: https://brainly.com/question/18269329

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

7200

Step-by-step explanation:

The number was 72. you move the decimal 2 places to the right (left if it was negative) There are no numbers there. So you add 0's .

(Sorry if I did not explain good enough. I am not very good at explaining things.)

A piano has a length of 8 feet and a width of x+2 feet, write an expression in simplest form of the perimeter of the piano.

Answers

Answer: 2(x + 10)

Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together

16 + 2x + 4

2x + 20

Now you have to take out the highest common factor which is 2

So it will be 2(x + 10)

Please help I have 20 minutes to turn this in

Answers

Answer:(-6,30)

Step-by-step explanation:

x=-6

y=30

Answer: (-6,30)

Step-by-step explanation:

-5x=-x+24

+x=+x

-4x=24

÷-4=÷-4

X=-6

Y=-5x

Y=-5(-6)

Y=30

(-6,30)


A scale model of a bus is 12 inches long. The scale is 1:21. How many inches long is the bus it
represents?

Answers

its 304.8 milimeter

The actual length of the bus that the scale model represents is 252 inches.

To find the actual length of the bus represented by the scale model, you can use the scale ratio.

Given:

Scale model length = 12 inches

Scale ratio = 1:21

Let "x" be the actual length of the bus.

Using the scale ratio:

Scale model length / Actual length = Scale ratio

12 inches / x inches = 1/21

Now, solve for "x":

x = 12 inches / (1/21)

x = 12 inches × 21

x = 252 inches

Therefore, the actual length of the bus that the scale model represents is 252 inches.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ3

Help!! I’ll mark brainly list but explain

Answers

Answer:

0.125

Step-by-step explanation:

(4)(-2)-3(-3)/3+5=

1/8=

0.125

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's evaluate :

[tex] \dfrac{(4a - 3b) {}^{3} }{c + 5}[/tex]

In the given expression, let's plug the value of

a = -2

b = -3

c = 3

so,

[tex] \dfrac{ \{(4 \times (- 2)) - (3 \times (- 3)) \} {}^{3} }{3 + 5}[/tex]

[tex] \dfrac{ \{ - 8 - ( - 9) \} {}^{3} }{8}[/tex]

[tex] \dfrac{ \{ - 8 + 9 \} {}^{3} }{8}[/tex]

[tex] \dfrac{(1) {}^{3} }{8} [/tex]

[tex] \dfrac{1}{8} [/tex]

Q. Which of these represents stope-intercept form of a linear equation?
answer choices
A)Ax+By=c
B)y-yı = m-x)
C)y=kx
D)y=mx + b

Answers

Answer:

D

Step-by-step explanation:

this is so easy just plug the question in

Answer:

D.y= mx + b

Step-by-step explanation:

Slope-intercept is a specific form of linear equations. It has the following general structure

y= mx + b

Here, m can be any two real numbers. For example, these are linear equations in slope-intercept form:

y=2x+1

y=-3x+2.7y

y=10-100x

On the other hand, these linear equations are not in slope-intercept form:

2x+3y=5

y-3=2(x-1)y−3=2(x−1)

x=4y−7

Slope-intercept is the most prominent form of linear equations

∠A and \angle B∠B are complementary angles. If m\angle A=(7x+23)^{\circ}∠A=(7x+23)

and m\angle B=(5x+19)^{\circ}∠B=(5x+19)

, then find the measure of \angle B∠B.

Answers

Since there are complementary angles, the value of angle B is 39°.

Angle A = 7x + 23°

Angle B = 5x + 19°

It should be noted that the total angles in a complementary angle are equal to 90°.

Therefore, we need to add angle A and B together and then equate them to 90°. This will be:

7x + 23° + 5x + 19° = 90°

Collect like terms

12x + 42° = 90°

12x = 90° - 42°

12x = 48°

x = 48°/12

x = 4°

Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°

Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°

The value of angle B is 39°.

Read related link on:

https://brainly.com/question/24963009

Show all steps
question is in the photo.

Answers

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]

Which of the following statements is not true

Answers

Answer:

The slope of AB is different from the slope of BC is NOT TRUE.

Step-by-step explanation:

AB and BC are on the same straight line, so their slopes are the same.

simplify the expression
SCREEN SHOT ATTACHED​

Answers

Answer:

c

Step-by-step explanation:

The correct answer is D.

Simplify the radical by breaking the radicand up into a product of known factors, assuming the real numbers. This is very hard to explain on a keyboard because there is no square root symbols lol

Plz help it’s due tonight!!!

Answers

Answer:

B

Step-by-step explanation:

DE is the line that has two ticks through it - the same as FG

the next line goes through the hypotenuse and it is EG for the first triangle and GE for the second

the last line goes through the line with one tick: GD and EF; the points G and D are at the ends of the first part of the congruence statement. the points E and F are also at the ends of their congruence statements

thus the answer is B

Of the 75 students in the cafeteria, 11 of them had chocolate milk to drink. If there are 750 students in the school, predict the number of students who drank chocolate milk.

Answers

Answer:

I predict 74 is the answer. Sorry if I am wrong.

A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks.
What is the ratio of boxes of socks to boxes of shoes?
26 : 83
26 : 57
57 : 83
57 : 26

Answers

The answer is 26:57

Factorize the following

7x + 19x + 12
3x square - 13x + 10
6y square + 3y - 9​

Answers

Answer:

2(13x+6)

(3x-2)(x+5)

3(y-1)(2y+3)

Step-by-step explanation:

hoffe das hilft

find the length of the hypotenuse of the right triangle. leave your answer in simplest radical form. not drawn to scale. ​

Answers

Two ways to solve this:
1) Notice that this is a 45-45-90 triangle, meaning the ratio of sides and hypotenuse is 1:1:sqrt(2)

Since the legs are 4, that would mean the hypotenuse would be 4*sqrt(2)

2) Pythagorean theorem: a^2 + b^2 = c^2

4^2 + 4^2 = 32
Sqrt(32) = 4*sqrt(2)

Answer:

it need to =90

Step-by-step explanation:

what is (m−3+4n)⋅(−8)=−8m+24−32n

Answers

Answer:

-8m+24-32n

Step-by-step explanation:

8×m,-3and 4n

50 points answer now

Answers

Answer:  x3+y3+z3=k

Step-by-step explanation:

x3+y3+z3=k                                    

You're welcome mr/ms

what set of ordered pairs in the form of (x,y) does not represent a function of x

Answers

Answer:

I believe it's option C

Step-by-step explanation:

A function is a relation that does not contain two pairs with same first component.

option C

{(-1,2),(3,-2),(0,1),(3,5)} is not a function, since there are two pairs with the same first component i.e, 3

hope it helps

mark me brainliest pls

a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?​

Answers

Answer:

5120 tiles.

Step-by-step explanation:

Do one thing.

Find out the area of the rectangular hall.

Find out the area of the marble slab.

Remember, the units are to be made same.

Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.

Calculations-

Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.

Area of one marble tile = 25 x 15 = 375 sq. cm.

Now you divide the numbers and get 5120 tiles.

Other Questions
Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how much ofthe element would remain after 11 years, to the nearest whole number? I will give brainly for it The imaginary scenario: You will need to make a choice between two different people tohelp you with a science class project. Pretend that this is the only graded item in the class,so choose carefully. Follow the decision-making process as outlined in this lesson inorder to choose your partner (write those steps down in the space provided and bespecific as to how you would follow that step in choosing a partner).Partner 1 Patrick: Patrick is the same age as you are. You have heard that he has taken acouple science classes and you know he did at least one project with a friend of yoursnamed Julie. You have not talked to Julie about how Patrick was as a partner. Patricksbackground is that he likes science, but is also very involved in football and band, both ofwhich take up a lot of his time after school. He was in another class of yours, English,and he seemed to pay attention in class, but you saw that he got a D on his midtermpaper. He seems to not have a lot of friends, but that is his choice because he is so busy.He mostly hangs out with his friend, Sara.Partner 2 Tasha: Tasha is the same age as you. You have heard that she has not takenvery many science classes, but you know she did a history project with your friend Lucy.Lucy told you she would talk to you later about Tasha. Tashas background is that shedoes not really like science, but she devotes a lot of time to school, no matter what thesubject. It seems like she just studies all of the time. She was in your English class andshe got As on everything. She seems to have a lot of friends.Which partner will you pick and why? In order to pick a partner, remember to use yourdecision-making process and follow it. Describe the process in detail, making sure towrite down the actual step, and then write how you would carry out that step in thisimaginary scenario. A(n) __value is any 2-value of a function that makes the y-value undefined.1. excluded2. discontinuous 3. quadratic 4. rational Which of the following correctly identifies the components of the airway?A. Nostrils, mouth, pharynx, larynx, and tracheaO B. Nostrils, mouth, pharynx, larynx, trachea, and bronchiC. Nostrils, pharynx, larynx, trachea, and lungsD. Nostrils, mouth, pharynx, trachea, bronchi, and lungsX Incorrect PLEASE HELPPPP 25 POINTS AND BRAINLY AND THANKS!!!! NEED HELP ASAPNEED TO FIND THE MEAN Can someone plz help Try These questions out and Ill give you brainliest no links posted on My question or I will report you Four ways in which schools could promote entrepreneurship as a viable option to counteract unemployment 100 POINTS AND ILL MARK YOU BRAINLIST FOR A CORRECT ANSWER WITH 5+ SENTENCES ! Write a biographical essay to inform readers about a noteworthy politician from LOUISIANA . Support your topic with relevant facts and anecdotes. This shape has all identical faces and a surface area of 240 square meters. What is the area of each face?A 120 B 80C 60D 30 Kevin plants 11 packages of vegetable seeds in a community garden. Each package costs $1.64 with tax. What is the total cost of the seeds? PLEASE HELP FAST!! What is the domain in interval notation of the function graphed below? Note: As x is approaching -2, the graph is getting closer and closer to a line but not touching it. write a alliteration poem the mode of 100 120 120 140 140 100 g 10. Problems and Applications Q10 Expansionary fiscal policy is more likely to lead to a short-run increase in investment when the investment accelerator is . True or False: Expansionary fiscal policy is more likely to lead to a short-run increase in investment when the interest rate sensitivity of investment is large than when it is small. True False i only need the first three answers now, please help Which function equation is represented by the graph 72 biscuits from 9 batches Scientists once classified fungi as types of plants. Today, fungi are classified in their own kingdom. Which of thesetraits distinguishes fungi from plants?A Fungi have cell walls made of chitin and are heterotrophic.B Fungi grow in the ground and are photosynthetic. Fungi reproduce by asexual reproduction.D Fungi are prokaryotes.