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.
The translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
<h3>How to translate the mathematical statement?</h3>
The mathematical statement is given as:
six decreased by 9 times a number is -39
9 times a number means
9 * x (assume x is the number)
So, we have:
six decreased by 9 times a number is -39 ⇒ six decreased by 9x is -39
Decreased by means we subtract 6 from 9x.
So, we have:
six decreased by 9 times a number is -39 ⇒ 9x - 6 = -39
Hence, the translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
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Answer:
It would be an irrational number.
Because of π, or pi, it has no end, no pattern, and that multiplied by four will still be irrational. It can not be represented on a number line or infinite decimal expansion.
Answer:
648 cu. cm
Step-by-step explanation:
27*24=648. 24sq. cm. 27cu.cm
Method 1 Decomposing into Hundreds, Tens, and Ones<span>
Understand the difference between "tens" and "ones." ...
Break apart a two digit number. ...
Introduce the "hundreds" place. ...
Break apart a three digit number. ...
Apply this pattern to infinitely larger numbers. ...
Understand how decimals work. ...
<span>
Break apart a decimal number.</span></span>
