Quincy is building a tower out of blocks that are each 5/6 of an inch in height. He decides
1 answer:
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Answer:
The answer is irrational
Step-by-step explanation:
we know that
The area of a square is given by the formula
where
b is the length side of the square
In this problem we have
substitute in the formula
take the square root both sides
simplify
Remember that
A <u><em>Rational Number</em></u> is a number that can be made by dividing two integers
so
The length side is not a integer
therefore
The answer is irrational
Answer:
8 feet
Step-by-step explanation:
First, draw a picture. The pole is 22 feet tall. Katherine is 5.5 feet tall. She is 24 feet from the pole. The light from the top of the pole to the tip of her shadow forms two similar right triangles. The length of her shadow is x.
Now use similar triangles to write a proportion:
22 / (24 + x) = 5.5 / x
Cross multiply:
22x = 5.5 (24 + x)
Distribute:
22x = 132 + 5.5x
Combine like terms:
16.5x = 132
Divide:
x = 8
The shadow is 8 feet long.
