You have a 50% chance of getting a blue marble and a 50% chance of getting a yellow marble
Answer: the answer is B. 90√2
Step-by-step explanation:
It is a 45 45 90 triangle and the hypotenuse is always the smaller side (x) root 2
Or x√2
Answer:
C
Step-by-step explanation:
note that sin x = cos(90 - x ) ← Cofunction identity
If x = 36 then 90 - x = 90 - 36 = 54
Hence sin 36° = cos 54° → C
They give you: <RSP = 90 degrees
If you look in the diagram, <RSP is vertical to <UPW and vertical angles have the same measure. <RSP = <UPW
So the correct answer is A.
A second degree polynomial function has the general form:

, where

.
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where

.
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii)

.
Substituting a with -1 and c with 25-5b we have:
Finally we find c: c=25-5b=25-50=-25
Thus the function is

Remark: It is also possible to solve the problem by considering the form

directly.
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is