We are going to use the calculation in answer choice A here. Once we calculate this problem, we'll see that he had to score an average of 24.6666666 points each game! =)
Step-by-step explanation:
We need to find the height of the triangle first.
Height=>sin(60°)=h/3 but sin(60°)=√3/2
h=3×√3/2=3√3/2
Area=½×base×height
A=½×3×3√3/2
A=9√3/4
Answer is option A
Answer:
![v_1=3.33 \ miles/hour\\v_2=6.66 \ miles/hour](https://tex.z-dn.net/?f=v_1%3D3.33%20%5C%20miles%2Fhour%5C%5Cv_2%3D6.66%20%5C%20miles%2Fhour)
Step-by-step explanation:
<u>Constant Speed Motion
</u>
When the object travels the same distances in the same period of time, the speed is constant and is can be calculated as
![\displaystyle v=\frac{x}{t}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%3D%5Cfrac%7Bx%7D%7Bt%7D)
where x is the distance and t is the time
There are two canoes traveling at speeds v1 and v2. One of them has twice the speed as the other. Let's say
![v_2=2v_1](https://tex.z-dn.net/?f=v_2%3D2v_1)
When t hours have passed, the canoes have traveled x1 and x2 respectively.
![x_1=v_1t](https://tex.z-dn.net/?f=x_1%3Dv_1t)
![x_2=v_2t](https://tex.z-dn.net/?f=x_2%3Dv_2t)
Since
![v_2=2v_1](https://tex.z-dn.net/?f=v_2%3D2v_1)
Then
![x_2=2v_1t](https://tex.z-dn.net/?f=x_2%3D2v_1t)
The distance between them is
![X=x_2-x_1=2v_1t-v_1t](https://tex.z-dn.net/?f=X%3Dx_2-x_1%3D2v_1t-v_1t)
![X=v_1t](https://tex.z-dn.net/?f=X%3Dv_1t)
That distance is known and equals 11.25 miles, thus
![v_1t=15](https://tex.z-dn.net/?f=v_1t%3D15)
Solving for v1 and using t=4.5 hours
![\displaystyle v_1=\frac{15}{4.5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v_1%3D%5Cfrac%7B15%7D%7B4.5%7D)
![v_1=3.33 \ miles/hour](https://tex.z-dn.net/?f=v_1%3D3.33%20%5C%20miles%2Fhour)
![v_2=2\times 3.33](https://tex.z-dn.net/?f=v_2%3D2%5Ctimes%203.33)
![\boxed{v_2=6.66 \ miles/hour}](https://tex.z-dn.net/?f=%5Cboxed%7Bv_2%3D6.66%20%5C%20miles%2Fhour%7D)
Answer:
2.8 in
Step-by-step explanation:
The volume of any shape is given as the product of base area and height. Therefore, V=Ah
Where A is cross sectional area, h is height
For a triangular, the cross sectional area is given by ½lw where l is length and w is width.
Now v=½lwh
Given that v=4 in³
4=½lwh
8=lwh
Considering the given choices, l can be 2.8 in
Answer:gift we have EXID r ya exhausted y ethic who oh edit SVP GF
Step-by-step explanation: