Simplify this expression.
1 answer:
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Answer:
The maximum length of the bar I could fit in the elevator is 2.87 meters.
Step-by-step explanation:
<u><em>The question in English is</em></u>
I'm going to buy a curtain rod. Since I live on a twelfth floor, I'm interested in knowing the maximum length I can put in the elevator.
So I take out my pocket tape measure, which only measures up to a meter and I measure the floor which turns out to be a square of 1m x 1m, but for the height it doesn't give.
However, there's a sticker on the lift box that says it has a capacity of 2,500 litres.
With all this information, what is the maximum length of bar that would fit me in the elevator?
step 1
Find the height of the elevator
we know that
The elevator has a capacity of 2,500 litres.
so
The volume of the elevator is given by
where
B is the area of the base
h is the height of the elevator
we have
substitute
step 2
Find the diagonal of the base of the elevator
Let
d ---> diagonal of the base of the elevator
Applying the Pythagorean Theorem
substitute
step 3
Find the diagonal of the rectangular prism (elevator)
Let
D ----> diagonal of the rectangular prism
d ---> diagonal of the base of elevator
h ----> height of the elevator
Applying the Pythagorean Theorem
substitute
therefore
The maximum length of the bar I could fit in the elevator is 2.87 meters.
Answer:
x=1
Step-by-step explanation:
First, we must simplify it to standard form:
