Answer: Polygon Q's area is 1/4 of Polygon P's area
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Explanation:
Imagine we had a square with side length 8. The area of this square is 8*8 = 64.
Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.
Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.
In other words,
new smaller area = (1/4)*(old larger area)
So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.
The answer is C, one over thirty-two
Answer:
The answer to your question is Long = 10.39
Step-by-step explanation:
Data
hypotenuse = 12
long = ?
Process
1.- To find Long, we must use the trigonometric functions sine or cosine.
If we use sine, we use the 60° angle
If we use cosine, we use the 30° angle
a) sin 60 = long / hypotenuse
Long = hypotenuse x sin 60
Long = 12 x sin 60
Long = 10.39
b) cos 30 = Long / hypotenuse
Long = hypotenuse x cos 30
Long = 12 x cos 30
Long = 10.39
Answer:
No answer……
Step-by-step explanation:
No graph to go by.
Answer:
(x + 8) (x - 8)
Step-by-step explanation:
To factorise the expression follow the steps:
Think the factorising means you want like:-
( x + _ ) ( x + _ )
Now, add the numbers to get 0 & multiple together to get -64
-64 = 8 x -8
8 + -8 = 0
Now fill the numbers in the factorising mean which will give you,
( x + _ ) ( x + _ ) --> ( x + <u>8</u> ) ( x - <u>8</u> )
Therefore, the answer will be: ( x + <u>8</u> ) ( x - <u>8</u> )
I hope this will help you :)
