D
It can give some balls more chance to be picked, making it unfair
Answer:
x=5
Step-by-step explanation:
We can use the Triangle Angel Bisector Theorem
AB 2x-1
----------= --------------
AC 3x
9 2x-1
----------= --------------
15 3x
Using cross products
3x*9 = 15*(2x-1)
Distribute
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x-15
-3x = -15
Divide by -3
-3x/-3 =-15/-3
x =5
Hello Friend,here is the solution for your question
<span>so the given function is </span>
y= √(-2cos²x+3cosx-1)
i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)
Now here in this equation is this quantity :-
<span>(cosx=3/4)²----------------(2) is to it's minimum value then the whole equation </span>
<span>i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa </span>
And we know that cosx-3/4 will be minimum if cosx=3/4
<span>therefore put this in (1) we get </span>
(cosx=3/4)²=0 [ cosx=3/4]
<span>hence the minimum value of the quantity (cosx=3/4)² is 0 </span>
<span>put this in equation (1) </span>
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
=√[1/8-3(0)] [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
=√1/8
=1/(2√2)
<span>this is the maximum value now to find the minimum value </span>
<span>since this is function of root so the value of y will always be ≥0 </span>
<span>hence the minimum value of the function y is 0 </span>
<span>Therefore, the range of function </span>y is [0,1/(2√2)]
__Well,I have explained explained each and every step,do tell me if you don't understand any step._
Given conditions are :
In 1980's, a typical middle-income household earned= $34,757
In 2009, a similar middle-income household earned= $38,550
And we have to find relative increase in income for these households from 1980 to 2009.
So first we will find the total increase in amounts.
Relative increase = 
= 10.91% or rounding it off we get approx 11%.
Hence, the answer is 11%.
Answer:
215°
Step-by-step explanation:
Add multiples of 360° until you get an angle in the desired range:
∠B = -865° + 3×360° = 215°
