If we draw a rhombus OABC on a coordinate grid with one vertex at the point O (0,0)
and let its height be 1 then (using the Pythagoras theorem) the coordinates of the 4 points will be as follows:-
O = (0,0) , A = (1, 1), B = (sqrt2+ 1 , 1) , C = (sqrt2, 0)
Slope of the diagonal OB = 1 / (sqrt2 + 1)
Slope of the other diagonal AC = - 1 / (sqrt2 - 1)
Product of the slopes = - 1 / ( sqrt2 + 1)(sqrt2 - 1) = -1 / 1 = -1
This proves that the diagonals are perpendicular.
Answer:
The selection probability to be assigned to each of the package designs is 0.20
Step-by-step explanation:
Firstly, we need to assume that one design is just as likely to be selected by a consumer as any other design
so the probability of selecting any of the design is same and that is 1/5 = 0.20
Thus, what we are trying to say is that each of the package designs have an equal selection probability of 0.20
Answer:
1) It would be about a 55% increase. 2) It would be about a 79% increase
Step-by-step explanation:
I used process of elimination to figure out how much of a percentage would be needed by just multiplying 210 by different percentages until I found the answer.
Sorry I don't have like a definite formula or anything for you to figure these questions out... I hope someone else answers with a more definite answer!
Answer:
<h2>X =
</h2><h2>Y = 5y.</h2>
Step-by-step explanation:
We need to find the translation for which, (-3, 1) becomes (1, 5).
-3 will become 1, if it is divided by -3.
Hence, the translation for x axis is X = .
1 will become 5, when it is multiplied by 5.
Hence, The translation for y axis is Y = 5y.
The solution for x is D=-4
