Answer:
4/5
Step-by-step explanation:
hope this helps :)
No, 4 is a multiple of 80
Given:
Required:
To find the probability that the dart land will be in the shaded region.
Explanation:
Area of the circle is given by the formula:
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
Where r = radius
Thus the area of the circular region
![\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%283.14%29%5Ctimes%282%29%5E2%20%5C%5C%20%3D3.14%5Ctimes4%20%5C%5C%20%3D12.56%5Ctext%7B%20square%20in.%7D%20%5Cend%7Bgathered%7D)
The area of the square is given by the formula:
![=(side)^2](https://tex.z-dn.net/?f=%3D%28side%29%5E2)
Thus the area of the given square
![\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%286%29%5E2%20%5C%5C%20%3D36%5Ctext%7B%20square%20in.%7D%20%5Cend%7Bgathered%7D)
The probability of an event is given by the formula:
![P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7Bnumber%5Ctext%7B%20of%20possible%20outcomes%7D%7D%7BTotal%5Ctext%7B%20number%20of%20outcomes%7D%7D)
The probability that the dart land will be in the shaded region
![=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7BArea%5Ctext%7B%20of%20the%20shaded%20region%7D%7D%7BArea%5Ctext%7B%20of%20the%20square%7D%7D)
Thus probability
![\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D%5Cfrac%7B12.56%7D%7B36%7D%20%5C%5C%20P%3D0.3488%20%5C%5C%20P%3D0.349%20%5Cend%7Bgathered%7D)
Final answer:
Thus the probability that the dart land will be in the shaded region is 0.349.
Answer:
15*(1+root(3))
Step-by-step explanation:
BD=5, BC=5*root(3), you can find it by using trigonometry.
AC^2=300, AC=10*root(3)
AB^2=225, AB=15.
Perimeter of ABC is AB+BC+CA=15+5*root(3)+10*root(3).
15(1+root(3))
Answer:
Each point does NOT ALWAYS give the same amount of tickets.
11 point would most likely give 90 tickets.
Step-by-step explanation:
2 points give 18 tickets = 9 tickets per point
3 points give 27 tickets = 9 tickets per point
9 points give 72 tickets = 8 tickets per point
You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.
18(2 tickets) + 72(9 tickets) = 90(11 tickets)