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 square root of (64/225) is the same as √64 / √225 .
That could make the whole thing easier.
Do you know what either of those separate square roots is ?
You're right ! I'm so impressed!
The square root of 64 IS 8, and the square root of 225 surely is 15 .
You really know your stuff !
So now, the expression is √64 / √225 = <em>8 / 15</em> .
Oh, I almost forgot, it has a negative sign before it. OK,so the answer is <em>- 8/15</em> .
The answer is $.085. This is the cost of the gasoline per mile. I got the answer through adding all the expenses (insurance, registration, and maintenance) which added up to $1191 and then subtracting it from $1837, which gets me $646. Lastly, I computed for the cost of gasoline per mile through dividing $646 by 7600 miles. I got .085.
A lamp is perfect... Measure length and width and multiply them together...
Answer:
All three are rational numbers.
Step-by-step explanation:
I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.
