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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
EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:
where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:
Substitute the given values into the function above:
To solve further, convert the function from an exponential function to a logarithmic function as follows:
Solve for t:
It will take 9 years for the population to double.