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
IrinaK [193]
2 years ago
6

What is the longest line segment that can be drawn in a right rectangular prism that is 14cm​ long, 13cm​ wide, and 11cm​ tall?

Mathematics
1 answer:
vlabodo [156]2 years ago
4 0

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (14)^{2} + (13)^{2}

                 = 196 + 169 = 365

 (diagonal)^{2} = 365

diagonal = \sqrt{365} = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

#SPJ1

               

You might be interested in
Can someone help me figure these out????
TEA [102]
It’s the 3 and for number 2 it’s 1
6 0
3 years ago
One number is 7 more 3 times another number. the sum is 75. what is the smaller number
NeTakaya

Greetings from Brasil...

According to the statement of the question, we can assemble the following system of equation

X = 7 + 3Y i

X + Y = 75 ii

So, multiplying ii by -1 and adding with i

X = 7 + 3Y

- X - Y = - 75

- Y = 7 + 3Y - 75

4Y = 68

Y = 17

for X we will use ii:

X + Y = 75

X + 17 = 75

X = 58

The smaller number is: 17

7 0
3 years ago
What is the measure of arc bc?<br> A. 76<br> B. 40<br> C. 96<br> D. 58
Veseljchak [2.6K]

Answer:

  A.  76

Step-by-step explanation:

Angle A is half the difference between the measures of arc DE and BC.

  m∠A = (1/2)(DE -BC)

  20 = (1/2)(116 -BC) . . . . substitute the given values

  40 = 116 -BC . . . . . . . . multiply by 2

  BC = 116 -40 . . . . . . . . add BC -40

  BC = 76

_____

<em>Comment on intersecting secants</em>

When the secants intersect <em>inside</em> the circle, the angle where they cross is half the <em>sum</em> of the intercepted arcs. When they intersect <em>outside</em> the circle (as here), the angle where they meet is half the <em>difference</em> of the intercepted acs.

Sometimes it is easier to remember two related relationships than it is to remember just one of them.

4 0
3 years ago
If the population of a town was experiencing uninhibited decay of 2% per year, how long would it take the population to decrease
hichkok12 [17]

Answer:

replied in the wrong place whoops the answer is 34.7

Step-by-step explanation:

7 0
3 years ago
I need some help!
Katena32 [7]

Answer:

  11/60

Step-by-step explanation:

It is convenient to use the relationship between sine, cosine, and tangent.

tan(x) = sin(x)/cos(x) = (11/61)/(60/61)

tan(x) = 11/60

5 0
3 years ago
Other questions:
  • Darwin’s age is 6 years greater than twice Fiona’s age.
    9·1 answer
  • Solve for x and explain the steps in your answer. Please Help :/
    6·1 answer
  • What is 28% of 58?<br><br> Hhhhhhh
    8·2 answers
  • Browns department store is having a 1/4 off sale. How much would a shirt that regularly sells for 36.00 cost during the sale?
    8·1 answer
  • Which is the best estimate of A.2 B.6 C.12 D.24
    7·2 answers
  • For which value of a are all the solutions of 2(x-5)&gt;3x+a less than or equal 5?
    10·1 answer
  • The chess club members bought six tickets to a tournament for $15. how much would they have paid if all nine members wanted to g
    12·1 answer
  • Can’t get this right, please help!!
    6·1 answer
  • What is the rate of change for y= 8/7x + 5
    9·2 answers
  • Find the midpoint of the segment that has endpoints at<br> (a+b, a-b) and (a, b).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!