which statement best compares the volumes of the two rectangular prisms

Answers

Answer 1

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

[tex]V_A = Length * Base * Height[/tex]

Where

[tex]Length \to a[/tex]

[tex]Base \to b[/tex]

[tex]Height \to h[/tex]

So:

[tex]V_A = abh[/tex]

For Prism B, we have:

[tex]Volume = Base\ Area * Height[/tex]

Where

[tex]Base\ Area = Length * Base[/tex]

and

[tex]Length = a[/tex]

[tex]Base = b[/tex]

So:

[tex]Base\ Area = a * b[/tex]

[tex]Base\ Area = a b[/tex]

The volume is then calculated as:

[tex]Volume = Base\ Area * Height[/tex]

[tex]V_B = ab * Height[/tex]

Where

[tex]Height \to h[/tex]

So:

[tex]V_B = ab * h[/tex]

[tex]V_B = abh[/tex]

By comparison:

[tex]V_A = V_B = abh[/tex]

Which Statement Best Compares The Volumes Of The Two Rectangular Prisms

Related Questions

Cos? Tan? Sin? What is angle V?

Answers

Answer:

60degrees

Step-by-step explanation:

SInce our reference angle is <V;

Opposite = WU = 7√3

Hypotenuse= WV = 14

Using the SOH CAH TOA identity

son m<V = opposite/hypotenuse

sin m<V = 7√3/14

sin m<V = √3/2

m<V = arcsin(√3/2)

m<V = 60degrees

Hence the measure of angle V is 60degrees

which point is best represented by the ordered pair (2,-5.5)

Answers

Answer:

Point W best represented by the ordered pair (2,-5.5)

please help i will give brainliest

Answers

Answer:

Part 1: 2.4 + x

Part 2: 4(2.4 + x) = 14.8

Step-by-step explanation:

2.4 + x is the total distance covered every day.

We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.

Extra: Here's how to work out x!

4(2.4 + x) = 14.8

9.6 + 4x = 14.8

4x = 5.2

x = 1.3

Hope that helps!

Emily has 7 photos on one page of an album. She has 3 photos on each of the other 9 pages. How man photos are in Emily's album? *

Answers

Answer:

34

Step-by-step explanation:

Emily has 7 photos on one page of an album

She has 3 photos on the other of the 9 page

= 3×9

= 27

27+7

= 34

Hence she has 34 photos

does anybbody know the answer to this? #help

Answers

Answer:

each tube costs $1.5 so put it the point in between 1 and 2

thank you

Step-by-step explanation:

Help I don’t know what to do

Answers

Answer:

20 mm (C)

Step-by-step explanation:

CAN SOMEBODY PLEASE HELP ME WITH THIS?

Answers

1. Answer= 41
2. Answer= 285
3. Answer= 7

Find the volume of the cylinder. Round to the nearest tenth
5 ft
2 ft

Answers

Given:

Radius of the cylinder = 2 ft

Height of the cylinder = 5 ft

To find:

The volume of the cylinder.

Solution:

Volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi = 3.14,r=2,h=5[/tex] in the above formula we get the volume of the given cylinder is:

[tex]V=(3.14)(2)^2(5)[/tex]

[tex]V=(3.14)(4)(5)[/tex]

[tex]V=62.8[/tex]

Therefore, the volume of the given cylinder is 62.8 ft².

Which linear equation is written in slope-intercept form?

Question 12 options:

6y = –2x + 12


–2x = y + 5


3x – 4y = 9


y = –3x +1

Answers

Answer:

It’s the 3rd one

Step-by-step explanation: it’s the 3rd one

8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.​

Answers

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]

which rounds to

2539.47

b.)

using the same equation we can write

[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]

not sure how to round this, so I'll leave that part up to you

Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?

Answers

Answer:

The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).

Step-by-step explanation:

I WILL MARK YOU AS BRAINLIEST IF YOU CAN ANSWER :)

Answers

Answer:

6 inches fell an hour

6x30 =180 so One hundred eighty inches in 30 mins

Step-by-step explanation:

Answer:

0.5 in per hour

16.2 in 30 hours

Step-by-step explanation:

If you want to find the amount of rain that falls in one hour, divide 13 by 24

13/24=  0.541 inches per hour

Then multiply this by 30

0.541 x 30 = 16.23

Since they want you to round to the nearest tenth, your answers would be:

0.5 in per hour

16.2 in 30 hours

Graph ATUV with vertices T(-3, 2), UC-1, 0), and (4,-2) and its image after the glide reflection.

Answers

Answer:

T (2, 2)

U (4 , 0)

V (1, -2)

Step-by-step explanation:

The translation is (x + 5, y), meaning 5 is being added to the X-values and Y stays the same.

Amy walks to school everyday. It is 800 meters from her house to the front door. It takes her 240 seconds to walk to school. What is her average speed?

Answers

Average speed= total distance travel/ total elapsed time. Then, 800/ 240 = 3.33

For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.

Answers

Answer:

im about to get visous on gta so its 70%

Step-by-step explanation:

What two consecutive numbers make 81

Answers

Answer:

40 and 41.

Step-by-step explanation:

81/2 = 40.5, thus 40 and 41

Solve: 2y - 4 = 14
Please answer I put the points up please answer quik

Answers

Answer:hope it helps

Step-by-step explanation:

Simplifying

2y + -4 = 14

Reorder the terms:

-4 + 2y = 14

Solving

-4 + 2y = 14

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2y = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2y = 14 + 4

2y = 14 + 4

Combine like terms: 14 + 4 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

The solution to the equation 2y - 4 = 14 is y = 9.

We have,

To solve the equation 2y - 4 = 14, we can isolate the variable y by performing the necessary operations:

First, we add 4 to both sides of the equation to eliminate the -4:

2y - 4 + 4 = 14 + 4

Simplifying, we have:

2y = 18

Next, we divide both sides of the equation by 2 to isolate y:

2y/2 = 18/2

Simplifying further:

y = 9

Therefore,

The solution to the equation 2y - 4 = 14 is y = 9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Explain pleaseeeeeeeeeeeee

Answers

Answer:

81°

Step-by-step explanation:

all triangles = 180°

make a sentence with antonyms of
go and beatiful​

Answers

Answer:

Stop believing that you are ugly.

Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3

Answers

9514 1404 393

Answer:

  maximum: +2

  minimum: -8

Step-by-step explanation:

The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...

  5(±1) -3 = -3±5 = +2, -8

The maximum of f(x) is +2; the minimum is -8.

Which equations represent exponential growth?

Which equations represent exponential decay?



Drag the choices into the boxes to complete the table.

Exponential Growth Exponential Decay

Answers

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

What is the solutions set of y=x^2+2x+7and y=x+7

Answers

Answer:

when x=0 ,y=7

when x=-1, y=6

Step-by-step explanation:

Taking [tex]y=x^{2} +2x+7, y=x+7[/tex] as equation 1 and 2 respectively

Inserting equation 2 in 1,

[tex]x+7=x^{2} +2x+7\\[/tex]

getting rid of 7 since its in both the sides with the same + signs,

[tex]x^{2} +2x-x=0\\x^{2} +x=0\\x(x+1)=0\\x=0 / x=-1[/tex]

when x=0 ,

y=7

when x=-1 , y=6

A photo booth in the shape of a rectangular prism has edge lengths of 3 ft by 4 ft by 7 ft. What is the volume of the space inside the photo booth?

Answers

Answer:

V=84ft³

Step-by-step explanation:

Answer:

Heyaa!! My name is Pinky and im here to inform you that your answer is...

Step-by-step explanation:

!!! V=84ft³ !!!

My clarification or my work is:

V=w h l= 4· 7· 3 =84ft³

w= Width

L= Length

H= Height

Have an amazing dayy!!

~Pinky~

Evaluate.
n ÷ 3 + 3 x 7 for n = 12

A. 4/21
B. 9 1/3
C. 25
D. 49​

Answers

C.25 is the answer 12/3+3x7 12/3=4 3x7=21. 21+4=25

Is 2.164213562 Rational or Irrational

Answers

The number you said is rational but im not that sure

is 1/4 equivalent to 1/8? use the number lines below and the drop-down menus to explain your answer

Answers

Answer:

NO

Step-by-step explanation:

The left side  0.25  does not equal to the right side  0.125  , which means that the given statement is false.

Answer:

no because is you change 1/4 to have a common denominator of 8 it will be 2/8 which doesn't equal 1/8

hope this helps

have a good day :)

Step-by-step explanation:

Given that events A and B are independent with P(A)=0.31P(A)=0.31 and P(B)=0.7P(B)=0.7, determine the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.

I need help please.

Answers

Answer:

.7

Step-by-step explanation:

I'm going to assume you meant to write all that stuff once

The conditional probability formula is as follows : (B|A)=(A∩B)/A

We're told that the two probabliites are independent of each other which means that A∩B= A*B

Which means we have

(.31*.7)/(.31)

This should simplify to .7

*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer  

I need help solving this question please :)

Answers

Answer:

um can you pleasee take a clearer picture thankyou I cant see the things inside the circle properly

Step-by-step explanation:

An object is moving at a speed of 2 centimeters every 7 seconds. Express this speed in meters per week. Round your answer to the nearest whole number.

Answers

Answer:

v = 12121 m per week.

Step-by-step explanation:

Given that,

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s = [tex]1.65\times 10^{-6}\ week[/tex]

Speed = distance/time

So,

[tex]v=\dfrac{0.02\ m}{1.65\times 10^{-6}\ week}\\\\v=12121.21\ m/week \\\\or\\\\v=12121\ m/week[/tex]

So, the speed of the object is 12121 m per week.

Answer:

1728 meters per week, the answer of 1212 was wrong on my test.

Solve for
32 + 2 = 73 – 1

Answers

Answer:

34 < 72

Step-by-step explanation:

32 + 2 = 73 - 1

34 = 73 - 1

34 = 72

Other Questions
Concerning the disposal of materials at the end of the experiment, which methods are safe? Check all that apply.[ANSWERS]B. Dispose of pH paper in the trash.C. Dump the cabbage indicator solution down the drain.D. Ask your teacher to neutralize the acids and bases before disposal. Which subatomic particles are transferred in a redox reaction? Please help!!!Describe why estuaries are an important aquatic ecosystem.(Stemscopes). An object at rest will ____________________ if no outside forces are applied A. stay at rest B. increase velocity C. decrease mass Help?!?!?!?!?!?!?!?!? I need help on this math question, coordinate planes. Listen to the audio and then answer the following question. Feel free to listen to the audio as many times asnecessary before answering the question.What's the weather like in December in Buenos Aires?O Hace fro.O Hace vientoO Hace mucho calor.O Hay mucha lluvia. Susan gently pushes the tip of her finger against the eraser on her pencil and the pencil does not move. Which of thefollowing figures best illustrates the interaction of forces between Susan's finger and her pencil? The mirror has a frame. The diameter of the mirror with the frame is 17 inches. To the nearest hundredth, what is the area of the mirror with the frame? Use 3.14 for . Which statement best evaluates whether the narrative has a clearly definedfocus?One of the uniformed soldiers stood up and began barking orders.Although Timothy couldn't understand the unfamiliar language, hecould tell that this man must be the leader. His crisp uniform heldmore shiny metal pins than anyone else's. He seemed to be makingdecisions and giving directions, which the other soldiers all jumped toobey. The stern look on his face was warning enough not to displeasehimA. The narrative has a clearly defined focus on the description of thehead soldierB. The narrative has a clearly defined focus on solving the problemthat faced the army.C. The narrative does not have a clearly defined focus.OD. The narrative has a clearly defined focus on Timothy's first day onan army basePREVIOUS "popular goverment can be under democratic and popular leaders can autocratic."explain the statement and give refrence to Zimbabwe. Does anyone know Abrahan Carcamo? Also known as SHIFT? The balance sheet of ABC reports total assets of $1,500,000 and $1,700,000 at the beginning and end of the year, respectively. Net income and sales for the year are $240,000 and $2,000,000, respectively. What is ABC's return on assets (round to nearest whole percentage, just put in the number with no %) Are you afraid of certain subjects, styles, media? Peux tu me preter ton crayon Examine the information about the minimum wage ARGUMENTS FOR RAIDING THE MINIMUM WAGEWorkers would get to a living wage.The government could spend less on social programsWorkers would be less likely to quit their jobs?Which of the following points could correctly be added to the tableA. Overly qualified people would compete for low-level jobs.B. The economy would be stimulated because people would have more money to spendC. The price of goods and services would increase.D. Inflation would grow out of control. [tex] \sqrt{4 {}^{4} } [/tex] How many joules of heat are needed to raise the temperature of 62.0 g of ethylene glycol from 13.1 C to 40.5C? Do similes ever start with the word I? What should you consider when choosing the type of hearing protection you use?Select the best option.The costs of the hearing protection optionsThe noise levels you expect to encounterWhat hearing protection is available to you at your jobThe type of hearing protection you see other people wearing