2a+3
Step-by-step explanation:
Answer:
Therefore the width is 25 feet for getting maximum area.
The maximum area of the rectangle is 625 square feet.
Therefore the range is 0≤A≤625.
Step-by-step explanation:
Given function is
A = - x²+50x
We know that ,
If y = ax²+bx+c
For the maximum ![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
Here a = -1 , b= 50 and c=0
Therefore the width ![x= -\frac{50}{2.(-1)} = 25](https://tex.z-dn.net/?f=x%3D%20-%5Cfrac%7B50%7D%7B2.%28-1%29%7D%20%3D%2025)
Therefore the width is 25 feet for getting maximum area.
The maximum area =[ -(25)²+50.25] square feet
= 625 square feet
The area can not be negative and maximum area is 625 square feet.
Therefore the range is 0≤A≤625.
Answer: 68.1
Step-by-step explanation:
The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:
![Area=\pi r^2/2](https://tex.z-dn.net/?f=Area%3D%5Cpi%20r%5E2%2F2)
![Area=\pi (3)^2/2=9\pi /2](https://tex.z-dn.net/?f=Area%3D%5Cpi%20%283%29%5E2%2F2%3D9%5Cpi%20%2F2)
The area of a rectangle is the length multiplied by the width:
![Area=l*w](https://tex.z-dn.net/?f=Area%3Dl%2Aw)
![Area=6*9=54](https://tex.z-dn.net/?f=Area%3D6%2A9%3D54)
The net area is the sum of the rectangle and the semi-circle:
![Area=(9\pi /2)+(54)=68.1](https://tex.z-dn.net/?f=Area%3D%289%5Cpi%20%2F2%29%2B%2854%29%3D68.1)
Answer:
16.0(?)
Step-by-step explanation:
I’m not really sure if it’s correct. But I’m assume it’s correct.
Answer: Hello mate!
in your group, there are 16 players, 10 males, and 6 females.
in this case, 5 males already arrived (then there are 5 other males left)
and 4 females already arrived (then there are other 2 females left)
then there are a total of 7 players left, where 2 are female and 5 are males.
you want to know the probability that the next person through the door will be a male.
this is the number of male players left, divided by the number of players left: 5/7 = 0.71
then the probability that the next person through the door will be a male is 0.71.