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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Step-by-step explanation:
x -0.1x = x(1-0.1) = 0.9x
Answer:boo
Step-by-step explanation:I a ghost
Answer:
(x -6)²
Step-by-step explanation:
It is worth remembering the form of the square of a binomial:
(a +b)² = a² +2ab +b²
Note that if "a" and "b" have different signs, the middle term will be negative.
In your case, the square root of the constant is half the magnitude of the x-coefficient, so the trinomial you have is a perfect square. Since you just found √36 = 6, and the sign of 12 tells you the terms have different signs, you know the answer is ...
x² -12x +36 = (x -6)²
_____
Of course, you recognize (x +6)(x -6) as the factoring of the difference of squares ...
x² -6² = x² -36
which is not what you have.
Answer:
y = ⅕x; -5
Step-by-step explanation:
y = kx
k = y/x Divided both sides by x
k = 2/10
k = ⅕
y = ⅕x
The equation of variation is y = ⅕x.
If x = -25,
y = ⅕(-25) = -5
