1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fed [463]
3 years ago
13

Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area & volume of t

he cube as a function of the diagonal length.
Mathematics
2 answers:
Lorico [155]3 years ago
8 0
D = sqrt(3s^2) where s is the length of the side. Solving for s, 

<span>3s^2 = d^2 iff </span>
<span>s^2 = d^2 / 3 iff </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) or d sqrt(3) / 3 </span>

<span>Surface area of the cube = 6 s^2. Thus, </span>
<span>A = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>

<span>Volume = s^3. Thus, </span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) / 9</span>
IgorLugansk [536]3 years ago
8 0
D = sqrt(3s^2) , 

<span>3s^2 = d^2 </span>
<span>s^2 = d^2 / 3 </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) </span>
now we will find surface area 
therefore
<span>Surface area of the cube = 6 s^2.</span>
<span>Area  = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>
now we shall find volume 
<span>V = s^3.</span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) /9
hope this helps</span>
You might be interested in
You obtain a dataset from a random sample. • You double-checked your dataset, and there were no typos, and no errors. • All cond
Pepsi [2]

Answer:

Interval is given with 97% confidence. Thus there is 3% probability that interval is not true.

Step-by-step explanation:

In Statistics, estimated intervals are given with some confidence level. In this example person develop the interval with 97% confidence.

<em>Statistically</em>, this means that the person can be 97% sure (not 100%)  that population mean is 74.3 < µ < 78.3. There is still 3% probability that population mean falls outside of the interval.

Small sample size may also lead wrong estimates.

7 0
3 years ago
How can probabilities be used to make fair decisions?
GarryVolchara [31]

he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.

Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.

Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.

yes probabilites can be used to make fair ones

thanx

heya

6 0
3 years ago
Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.
alukav5142 [94]

Answer:

<u>The solutions to this quadratic equation are 10 and 3.</u>

Step-by-step explanation:

1. Let's recall the formula for solving this type of equations, called quadratic equations:

 x = ( - b +/- √ b² - 4ac)/ 2a

The equation given is  x2 – 13x + 30 = 0,

where a = 1, b = - 13 and c = 30

Now replacing with the real values, we have

x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1

x = [ 13 +/- √ 169 - 120] / 2

x = [13 +/- √ 49]/ 2

x = [ 13 +/- 7 ]/ 2

<u>x₁ = 13 + 7/2 = 20/2 = 10</u>

<u>x₂ = 13 - 7/2 = 6/2 = 3</u>

8 0
3 years ago
Pls answer, and be clear on which one your answering, thank youuu!! Very thankful worth 30 points!! :) &lt;333
sveta [45]
The mistake Shawna made was in her answer the 54 repeats so the bar should be over the .54 not the .545
7 0
3 years ago
Bella pays 7 payments of $5 each to a game store.she returns one game receives $20 back.what is the change of the about of money
hichkok12 [17]
15$ would be ya answer ....

6 0
3 years ago
Other questions:
  • The amount of water in a bathtub as it drains can be modeled by this equation with y representing the number of gallons of water
    11·2 answers
  • Describe the relationship between irrational number and rational number
    13·1 answer
  • What is 6.2 x 105 in scientific notation?
    13·2 answers
  • Will give brainliest answer
    9·2 answers
  • Please answer these !!!!!!!!!
    6·1 answer
  • JK:ST is 2:1 and the length of JN is 6/2. What is the length of SW ?
    9·1 answer
  • Which expression is undefined?
    13·1 answer
  • Mhanifa or Anyone answer this
    5·2 answers
  • Lawrence middle school is painting a circle on their playground with a radius of 7 feet what will be the total area of the circl
    8·1 answer
  • 11111111111111+646463476346546
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!