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

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

Is 2.164213562 Rational or Irrational

Answers

The number you said is rational but im not that sure

CAN SOMEBODY PLEASE HELP ME WITH THIS?

Answers

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

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.

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)

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~

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

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:

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:

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.

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  

What two consecutive numbers make 81

Answers

Answer:

40 and 41.

Step-by-step explanation:

81/2 = 40.5, thus 40 and 41

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.

Explain pleaseeeeeeeeeeeee

Answers

Answer:

81°

Step-by-step explanation:

all triangles = 180°

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

make a sentence with antonyms of
go and beatiful​

Answers

Answer:

Stop believing that you are ugly.

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

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

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.

Solve for
32 + 2 = 73 – 1

Answers

Answer:

34 < 72

Step-by-step explanation:

32 + 2 = 73 - 1

34 = 73 - 1

34 = 72

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

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 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 :)

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

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:

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

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!

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:

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:

Help I don’t know what to do

Answers

Answer:

20 mm (C)

Step-by-step explanation:

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