Answer: V = (1/3)a2h.
Step-by-step explanation: Square Pyramid Formulas derived in terms of side length a and height h: Volume of a square pyramid
If there were 8 teams and 23 pizzas, then each team got 2 and 4/5
Answer:
Part 1) 53%
Part 2) 44%
Part 3) The record label sold a higher percentage of album 1 as digital downloads than album 2
Step-by-step explanation:
First we need to find the total sales of each album
Album 1:
![540+470=1010](https://tex.z-dn.net/?f=540%2B470%3D1010)
Album 2:
![571+452=1023](https://tex.z-dn.net/?f=571%2B452%3D1023)
Part 1)
In order to find the percentage of copies of album 1 sold as CDs, we need to create a fraction with the number of CD sales over the total number of sales
![\frac{540}{1010} =0.534\\\\0.534*100=53.4\\\\53](https://tex.z-dn.net/?f=%5Cfrac%7B540%7D%7B1010%7D%20%3D0.534%5C%5C%5C%5C0.534%2A100%3D53.4%5C%5C%5C%5C53)
Part 2)
We must now do the same thing with the number of digital downloads for album 2
![\frac{452}{1023} =0.441\\\\0.441*100=44.1\\\\44](https://tex.z-dn.net/?f=%5Cfrac%7B452%7D%7B1023%7D%20%3D0.441%5C%5C%5C%5C0.441%2A100%3D44.1%5C%5C%5C%5C44)
Part 3)
We can now do this again with the number of digital downloads for album 1 and compare it to the answer in Part 2
![\frac{470}{1010} =0.465\\\\0.456*100=46.5\\\\47](https://tex.z-dn.net/?f=%5Cfrac%7B470%7D%7B1010%7D%20%3D0.465%5C%5C%5C%5C0.456%2A100%3D46.5%5C%5C%5C%5C47)
As the % for album 1 is 47% while the % for album 2 is 44%, album 1 sold a higher percentage of digital downloads than album 2
Answer:
105
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let the unknown angle be x
75+x = 180
Subtract 75 from each side
75+x-75=180-75
x = 105
Answer:
37) ±√29 - 4
Completing the square utilizes this formula
. We know that b=8, 8 can be plugged into this formula to get
. Simplify to get 16. Now, we can add this into the equation to get
. Subtract 26 to both sides, so the equation can equal to 0.
would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.
38) ±√21 - 2
Let's use the same formula. b=4, so
. Simplify to get 4. Add that into the equation to get
. Subtract 8 on both sides, so the equation can equal to 0.
would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2
If you're confused on any part of the explanation, feel free to ask :)