The formula is V=Bh
You'd get the base (it's a circle so you'd have to do A=pie*radius square)
Once you find the base, you mutliply it by the height
Answer:
6
Step-by-step explanation:
Let
. We know the formula for the sum of an arithmetic sequence is:
![S_{n} = \frac{n(a_{1}+a_{n} )}{2}](https://tex.z-dn.net/?f=S_%7Bn%7D%20%3D%20%5Cfrac%7Bn%28a_%7B1%7D%2Ba_%7Bn%7D%20%29%7D%7B2%7D)
Where n is the number term you are finding the sum up to, a1 is the first term, and an is the nth term. We can substitute what we have:
![320=\frac{10(5 + n)}{2}](https://tex.z-dn.net/?f=320%3D%5Cfrac%7B10%285%20%2B%20n%29%7D%7B2%7D)
![640=10(n+5)\\64=n+5\\n=59](https://tex.z-dn.net/?f=640%3D10%28n%2B5%29%5C%5C64%3Dn%2B5%5C%5Cn%3D59)
The formula to find the nth term of an arithmetic series is:
![a_{n} = a_{1} + (n-1)d](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29d)
Where d is the common difference. Again, we can plug in what we have;
![59 = 5 + 9d\\9d = 54\\d = 6](https://tex.z-dn.net/?f=59%20%3D%205%20%2B%209d%5C%5C9d%20%3D%2054%5C%5Cd%20%3D%206)
Direct proportion equations have the following form:
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where "k" is the Constant of proportionality.
In this case you know that "y" is directly proportional to "x" and when:
![x=4;y=-2](https://tex.z-dn.net/?f=x%3D4%3By%3D-2)
Having these values, you can substitute them into the equation and solve for "k":
![\begin{gathered} -2=k(4) \\ \frac{-2}{4}=k \\ k=-\frac{1}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-2%3Dk%284%29%20%5C%5C%20%5Cfrac%7B-2%7D%7B4%7D%3Dk%20%5C%5C%20k%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bgathered%7D)
So, substituting the value of "k" into the first equation shown above, you get that the equation that models the given relationship is:
![y=-\frac{1}{2}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx)
Now, to find the value of "x", when the value of "y" is -24, you must substitute this value into the equation that models the relationship and then solve for "x". Then, you get:
![\begin{gathered} -24=-\frac{1}{2}x \\ (-24)(-2)=x \\ x=48 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-24%3D-%5Cfrac%7B1%7D%7B2%7Dx%20%5C%5C%20%28-24%29%28-2%29%3Dx%20%5C%5C%20x%3D48%20%5Cend%7Bgathered%7D)
Therefore, the answers are:
Jesus christ gives the true joy you’re all seeking friends
Volume of prism = 1/2 a c h
= 1/2 × 7 × 9 × 15 = 472.5
Therefore, the vorrect answer is A. 472.5 ft