3/8 - N= 1/4 please answer
1 answer:
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Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
Answer:
The maximum height of the prism is
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to
so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C
------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->
see the attached figure
but remember that
The width of the base must be meters less than the height of the prism
so
the solution for x is the interval ------>
The maximum height of the prism is
Answer:
<h3>Step-by-step explanation:
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Now, Using Pythagoras theorem
plug the values
⇒
Evaluate the power
⇒
Swap the sides of the equation
⇒
Move constant to right hand side and change it's sign
⇒
Calculate the difference
⇒
Squaring on both sides
⇒
Hope I helped!
Best regards!