Answer:
3/4
Step-by-step explanation:
Constant of Proportionality is just a fancy way of saying slope (for a line passing through (0, 0), at least).
You can find it by looking at y/x, which will be equal at any point on the line (which is why it is a "constant").
So, for multiple points on the line:
1.5 / 2 = 3/4
3 / 4 = 3/4
4.5 / 6 = 3/4
Since she is rolling 1 six sided dice the chances of her rolling a 3 are 1:6 because, she is trying to land on 3 not 3 numbers.
Check the pictures below.
make sure your calculator is in Degree mode, since the angles are in degrees.
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
For the pet the fraction is 2/3 because there is a fish,cat and a dog only cats and dogs have 4 legs and the fraction for the toy or the book is 1/2 because there are 2 objects and she can only get 1
