The volume of a rectangular prism, with length l, width w, and height h, is given by the formula l×w×h. Suppose that you know that the height of a rectangular prism is 10 cm and that the volume is 100cm3. What are the possibilities for the other dimensions, l and W, of the prism? Give your answers as pairs of positive integers. I don't really understand what this question's trying to ask me. And I don't know the steps on how to calculate it.

Answers

Answer 1

Answer:

(100,1) (50,2) (25,4) (20,5) (10,10)

Step-by-step explanation:

Given

[tex]V = l * w * h[/tex]

[tex]h = 10cm[/tex]

[tex]V = 1000cm^3[/tex]

Required

Determine the possible values of l and w

We start by substituting 1000 for V and 10 for h in t he given formula

[tex]V = l * w * h[/tex]

[tex]1000 = l * w * 10[/tex]

Divide both sides by 10

[tex]100 = l * w[/tex]

Reorder

[tex]l * w = 100[/tex]

This implies that when the value of l and w are multiplied together, the result is always 100.

Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more


Related Questions

Find the mean of 12, 16, and 23.

Answers

Answer:

17

Step-by-step explanation:

mean means average...

12+16+23= 51

51/3= 17

The answer for your question question is 17

Please find the value of the x so that the function has the given value

f(x) = (-4/5)x+7 ; f(x) = 29

Answers

I wanna say x = 27.5

Describe and correct the error in finding the value of x.

HELP ASAP!!

Answers

4x + 6 isnt equal to 3x + 9

it is equal to 5x - 1

help please!! Arithmetic Sequences
4,4.1,4.2,4.3,4.4
Common Difference: d=
what is the common difference?

Answers

Answer:

0.1 is the answer...............

The common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

What is Arithmetic Sequence ?

Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.

What is common difference ?

Common difference is the difference between two consecutive terms of an arithmetic progression.

We have arithmetic progression,

[tex]4,4.1,4.2,4.3,4.4[/tex]  

Here,

[tex]a_{1} =4[/tex]

[tex]a_{2} =4.1[/tex]

[tex]a_{3} =4.2[/tex]

[tex]a_{4} =4.3[/tex]

[tex]a_{5} =4.4[/tex]

And,

Common Difference [tex](d)[/tex] [tex]=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}[/tex]

So,

Common Difference [tex](d)[/tex] [tex]= 4.1-4[/tex]

                                       [tex]=0.1[/tex]

So, Common Difference [tex](d)[/tex] is    [tex]0.1[/tex] which is the difference of consecutive terms of Arithmetic Sequences.

Hence, we can say that the common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

To know more about Arithmetic Sequences click here

https://brainly.com/question/15412619

#SPJ2

HELP PLEASE!!!!!!!!!!!!

Answers

Answer:

y = 3x-5

Step-by-step explanation:

The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.

Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks.Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks.The prices of the popcorn and drinks can be determined by solving the system of equations.
2p+2d=4.00
2p+3d=5.25
what is the price of a box of popcorn? A drink?
P=
D=

Answers

Answer:

p=0.75$

d=1.25$

Step-by-step explanation:

2p+2d=4

So 2p=4-2d

2p+3d=5.25

4-2d+3d=5.25

d=5.25-4

d=1.25

2p+1.25*2=4

2p=4-2.5

2p=1.5

p=0.75

Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3 is b

4 is also b

Step-by-step explanation:

does this graph show a function. explain how you know.

Answers

Answer:

its should be A because theres no vertical line that looks like that lol

Answer:

A.  The graph fails the vertical line test, I think.

Step-by-step explanation:

Factor 6x + 30 to identify equivalent expressions. Select all that are equivalent expressions.
2(3x + 15)
6(x + 30)
6(x+5)
3(2x + 10)


PLEASE HELP

Answers

Answer:

6(x+5)

Step-by-step explanation:

what the person above said. when you multiply 6(x+5) out, you will get 6x+30. you will get the same for all of the other choices except for the 2nd one, but 6(x+5) is the one that is factored out the most, so this would be the best choice. if you need anymore help, let me know!

help would be nice thank you!

Answers

Answer:

Option B

Step-by-step explanation:

Given equation gives the information about the temperature in Vancouver over a period of 4 hours.

y = -2x + 43

Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.

x = duration or time

Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.

Option B is the answer. 

Write the equation for each graph below.

Answers

Answer:

The first one is 3x+1

The second one is 3/4x - 2

Step-by-step explanation:

Look where the line intersects then count the dots to where the next point is.

Please help. 40 points + brainliest

(***NOTICE: Bots/trolls seeking points will be reported***)

1. Solve for q:

√3q + 2 = √5

2. solve for d:

4d + 1 = √3

3. Solve for m:

m/√3 - 11 = 4

Answers

Answer:

1) q = (sq rt 15 - 2) / 3

2) d = (sq rt 3 - 1) / 4

3) m = 15 * sq rt 3

Step-by-step explanation:

1.√3q + 2 = √5

we bring to the power of 2 each element

(√3q)^2+2^2=√5^2

3q+4=5

3q=4-5

q=1/3

2.

4d+1=√3

we do the same thing

16d^2+1=3

16d^2=2

d^2=2/16

d^2=1/8

d=√1/√8

3.

m/√3 -11=4

first we rationalise by multiplying the first fraction with √3

m√3 /3-11=4

now we can bring to the power of 2

3m^2/9-121=16

3m^2/9=137

m^2/3=137

m^2=411

m=√411


Helpppp meeeeeeeeeee

Answers

The answer is A.

Explanation: You look at the x axis to see where the line is and look at that. The line goes from -4 to 3 on the x axis. On the y axis is the same but on the y axis. You see it goes from 0 to 5. This is least to greatest.

Plz answer these 2 I’ll mark brainliest

Answers

Answer:

16. C

17. B

sorry if i got it wrong

Answer:

THE ANSWER

A

B

Step-by-step explanation:

MARK BRAINLIEST

Find The Angle (See Image)

Answers

Answer:

do you how many there is 5 angles if thats what ur asking

Step-by-step explanation:

Help PLEASE. 15 pts

Which equations illustrate the zero property of multiplication? Select ALL that apply.
[tex] \frac{1}{3} \times 3 - 3 = 4[/tex]
[tex] \frac{1}{2} + 2 - 2 = \frac{1}{2} [/tex]
[tex]0 \times \frac{1}{9} \times 9 = 0[/tex]
[tex]x - 5 + 5 = x[/tex]
[tex] \frac{1}{3}(9 + 3) = 3 + 1 [/tex]

Answers

Answer:

0* 1/9*9=0

Step-by-step explanation:

The zero property of multiplication states that any non-zero number multiplied by zero will equal zero.

it can't be the first one, since there's no zero in it, and the answer isn't zero

it can't be the second one since there's no multiplication illustrated.

The third one is an option, since there is a zero and it's being multiplied by two non-zero numbers, and the answer is 0

the fourth one isn't an option since there's no multiplication

the fifth one isn't an option since there is no 0's there.

hope this helps!

I DONT UNDERSTAND PROBLEMS PLS HELPPPP MATH

Answers

Answer:

#9) A) Addition property of equality

Step-by-step explanation:

Hope this helps

1
Which point on the number line represents 3?
-1
В
0
о
ООО

Answers

Answer: C

A is -1 and 1/3

B is -2/3

C is -1/3

D is 1/3

so it’s C

Answer is c


Hope this helps

PLEASE HURRY!!!!!!!!!!
I WILL VOTE BRAINLIEST!!!!!!!!!
ACTUALLY ANSWER IT AND PROVIDE ALL WORK!!!!!!!!!!!!!

Answers

Answer:

The answer gonna be B

u welcome

Answer:

A

Step-by-step explanation:

We can see that our figure is composed of a cylinder and a cone.

So, we can utilize the surface area formulas.

The surface area of a cylinder is given by:

[tex]SA=2\pi r^2+2\pi r h[/tex]

The first term is the two circular bases, and the second term is the lateral surface area.

Notice that the circular base has a diameter of 6. So, its radius is 3.

Also, the height of the cylinder is 50.

However, notice that one of the circular bases is not included in our surface area as it’s connected to the cone. So, we will remove that from our surface area. This gives us:

[tex]SA=\pi r^2+2\pi rh[/tex]

Therefore, by substituting 3 for r, the radius, and 50 for the height h we can see that:

[tex]\begin{aligned}SA&=\pi(3)^2+2\pi(3)(50)\\&=9\pi+300\pi\\&=309\pi\end{aligned}[/tex]

Now, we can determine the SA of the cone.

Again, we will only need to lateral surface area, since the circular base is connected to the cylinder.

The lateral surface area of a cone is given by the formula:

[tex]SA=\pi r\ell[/tex]

Where r is the radius and l is the slant height.

The radius is 3 and the slant height is 5. Therefore:

[tex]SA=\pi(3)(5)=15\pi[/tex]

So, our total surface area is:

[tex]SA_{\text{Total}}=309\pi+15\pi[/tex]

Simplify:

[tex]SA_{\text{Total}}=324\pi\\[/tex]

Approximate:

[tex]SA_{\text{Total}}\approx1017.9\text{ units}^2[/tex]

Hence, our answer is A.

Stephen sells gin a bicycle for $138 and a helmet for $18. The total cost for gin is 130% of what Stephen spent originally to buy the bike and helmet how much did Stephen spend originally? How much money did he make by selling the bicycle and helmet to gin?

Answers

Answer:

step-by-step explanation

130% ×××××

hai

i'll be friend, babai

if I have 130 of something and I need 200 how many more do I need

Answers

Answer:

70

Step-by-step explanation:

200 - 130

Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)

Answers

B,D,E is the answer for sure

One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500

Directions
1.Make sure to put the question number next to each answer.
2. If you correctly fill out the questions you will be given a link to 50 points.
3. If you incorrectly answer the question (put random numbers or letters) I will report you.
( You will be messaged through inbox so be sure to add your email in the answer)
Also you will be sent the link within 5 mins of the time you answered the question.

Answers

So you want me to answer that entire page for you?

Okay

Can you solve this?
kn+4f=9v, for n

Answers

Answer:

n = [tex]\frac{9v - 4f}{k}[/tex]

Step-by-step explanation:

kn + 4f = 9v

kn = 9v - 4f

[tex]\frac{kn}{k}[/tex] = [tex]\frac{9v - 4f}{k}[/tex]

n = [tex]\frac{9v - 4f}{k}[/tex]

g+1/4Ua=b
solve for A.

Answers

a=4b/u minus 4g/u . this should help :))

Answer:

a=4b/u-4g/u

Step-by-step explanation:

You got this!

–2 • 4? what is the anserw do you now

Answers

Answer:

Step-by-step explanation:

-8 because a negative times a positive is a negative so w times 4 equals I and since it’s a negative sign it’s -8

When u multiply by 1 negative your answer will be a negative so your answer will be -8

You have $100 in your savings account and plan to deposit $20 each month. Write a linear equation to model the situation.

y= 100x + 20
y= 80x
y= 20x + 100
y= 120x

Answers

the third option [ y= 20x + 100 ]

you already have 100 and you’re gonna save 20 dollars each month and the number of months would be x

In 8 divided by 1/5 the number 8 is the?

Answers

Answer:

Dividend

Step-by-step explanation:

Dividend ÷ Divisor = Quotient

Answer:

Dividend

Step-by-step explanation:

Simplify the expression and enter your answer below.

(15^1/5)^5

Answers

Answer:

15^1 or just 15

Step-by-step explanation:

(15^1/5)^5

If there is a parenthesees seperating powers you can times the two numbers.

So you take 1/5 and times by 5

After this you get 15^1 and that would be 15

Other Questions
Which of the following colonies was established for religious reasons? Please help me with these questions ASAP!!!!!!!! Describe the graph y=|x-2|+4A) a V shaped graph with vertex at(-2,4) which opens up.B) a V shaped graph with vertex at (4,-2) which opens down C)a V shaped graph with vertex at(4,2) which opens down D) a V shaped graph with vertex at(2,4) which opens up The ratio of Dobermans to terriers is 2:7. There are 774 dogs altogether. How many Doberman is there?How many terriers? Which of the following numbers can be expressed as decimals that terminate? 5 over 2, 4 over 5, 2 over 7, 4 over 3 5 over 2 and 2 over 7 4 over 5 and 4 over 3 5 over 2 and 4 over 5 2 over 7 and 4 over 3 my friend needs help What is the result of the subtraction?46 19=O 230 270330 37 The manager of a crew that installs carpeting has tracked the crew's output over the past several weeks, obtaining these figures. Week Crew Size Yards Installed1 4 962 3 723 4 924 2 505 3 696 2 52What is the week with the highest labor productivity? 7. What is a Works Cited page? Which periodic table trend is represented by the blue arrows? thank you for your help :) really appreciate! Heres the new one Which number line shows the solution of 6x-12 > -6? A. -10 - - - -6 -5 4 2 -1 0 1 2 3 B. -10-9-8 -6 5. -2 -1 0 1 2 3 4 5 6 7 8 9 C. 69 -10-9-8 -6 -5 -4 re 4 5 6 7 8 9 10 D. -10-9-8 6 7 8 9 10 Find the quotient of 3/5 and 9/10. Express your answer in simplest form. Solve the formula c = 1.06p for p, where c is the cost of an item at Shopping City, including tax, and p is the selling price. (ANSWER FAST!!!!!!) What is the minimum number of kiloJoules needed to change 40.0 grams of water at 100C to steam at the same temperature and pressure 9 1/4 + 8 3/4 + 7 1/2 + 7 1/2? is the anwers to 4,690 141 going to be even or odd An s orbital has how many orientations? Group of answer choices A satellite is on orbit 35600 km above the surface of the earth.its angular velocity is 7.25105 rad/sec.What is the vrlocity of the satellite?(The radius of the earth is 6400 km What is surface/strip mining? how many cookies will Julie make in 7 days?