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
Brums [2.3K]
3 years ago
12

The edge length of a cube is 17 cm. Identify the length of its diagonal. Round to the nearest tenth, if necessary. HELP PLEASE!!

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

Answer:

29.4 cm

Step-by-step explanation:

The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...

d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm

_____

Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...

(face diagonal)^2 = (b^2 +c^2)

and the space diagonal has length ...

(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2

So, the length of the space diagonal is ...

space diagonal = √(a^2 +b^2 +c^2)

when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.

You might be interested in
Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do the
Neko [114]

Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

When Sam gives 12 books, his remaining books will be = 2x - 12

When Jim gets 12 books from Sam, his books will be = x + 12

And as per given question, they both now have equal books, so

2x - 12 = x + 12

Adding 12 in both sides

2x - 12 + 12 = x + 12 + 12

2x = x + 24

Subtracting x from both sides

2x - x = x + 24 - x

x = 24

It means Jim has number of books = 24

So, Sam has numberof books = 24 * 2 = 48

So, they have number of books together = 24 + 48 = 72 : Answer

Hope it will help :)


5 0
3 years ago
Read 2 more answers
PLEASE HELP ME !
LekaFEV [45]

Answer:

C

Step-by-step explanation:

use y=mx+c

follow the flow

7 0
3 years ago
Read 2 more answers
What is the perimeter of a rectangle with a length of 4x-6 and a width of 2x+3
Leona [35]

Answer:

I got p=12 i'm so sorry if the answer is wrong

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How
Ugo [173]
16 vegetables because 75-68=7 and 80-71=9 and 9+7=16
5 0
3 years ago
Read 2 more answers
You are a bank teller, and your cash drawer
matrenka [14]

Answer:

I dont know.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
    9·2 answers
  • a coffee shop sells a ceramic coffee mug for $8.95. each refill costs $1.50. last month rose spent $26.95. how many refills did
    14·2 answers
  • Problems 20-22 has me mixed up​
    6·1 answer
  • The diagram shows a circle inside a square.<br> a O<br> 16 cm<br> Work out the area of the circle.
    15·1 answer
  • Evaluate the expression 9-3÷1/3+1 <br>A. 9 <br>B. 3 <br>C. 1 <br>D. 19​
    14·1 answer
  • Please help (no links or you are reported)
    9·1 answer
  • Simplify the equality 2y&gt;4
    5·2 answers
  • 193.87 divided by 5 estimate
    9·1 answer
  • how do I put -1.2 on a number line?how do I put -3.25 on a number line?how do I put 0.5 on a number line?
    15·1 answer
  • Distribute and simplify the radicals below.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!