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.
=
+ 
=
+ 
= 196 + 169 = 365
= 365
diagonal =
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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Answer:
6
Step-by-step explanation:
since their are 3 numbers to choose from we do 3! or 3*2*1 which is 6.
Answer:
25
Step-by-step explanation:
a² + 7a + 7
a = 2
Plug in the value of 2 for every occurance of a.
(2)² + 7(2) + 7
First, solve the exponent.
4 + 7(2) + 7
Now, multiply.
4 + 14 + 7.
Add.
25
This is your answer.
Hope this helps!
Answer:

Step-by-step explanation:
Hi there!

Solve -2^2:

Divide both sides by -4:

Subtract 10 from both sides:

Divide both sides by -5:

Therefore, x = 7.
I hope this helps!
Answer: you minus the equations you have to get the equation that you want so it all can add up to that *
Step-by-step explanation: