Hello,
For a given perimeter (P) there are an infinity of Area (A)
Let's say x the length, and y the wide of the rectangle
P=2(x+y)
A=xy
k=x-y >=0
As (x+y)²-4xy=(x-y)²: A²-4P=k² or P=(A²-k²)/4
In primus, you will find a graph (abacus) giving P for a A and k given.
Negative Area or P are excluded.(just remind the first quadrant, A>=0 and P>=0)
3 blue, 2 red, 5 white........total of 10 sweaters
probability that red is picked first : 2/10 reduces to 1/5
replace
probability of second pick being white : 5/10 reduces to 1/2
replace
probability of third pick being blue : 3/10
probability of all of this happening : 1/5 * 1/2 * 3/10 = 3/100 <==
Cut only to ends of the triangle off then it will have a pentagon with the uncut shape
Answer:
B. -√2/2.
Step-by-step explanation:
This is in the third quadrant so the sine will be negative.
The hypotenuse = √ [( -3)^2 + (-3)^2]
= √18 = 3√2.
Therefore the sine = -3 / 3√2.
= -1 / √2
= -√2/2..