It has a 6:1 ratio meaning for every 6 cups of apple juice there is 1 cup of lemon-lime soda
Answer:
CD = 25 ft
Step-by-step explanation:
![\triangle CDE \sim \triangle RST](https://tex.z-dn.net/?f=%20%5Ctriangle%20CDE%20%5Csim%20%5Ctriangle%20RST)
![\therefore \frac{CD}{20}=\frac{40}{32}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%7BCD%7D%7B20%7D%3D%5Cfrac%7B40%7D%7B32%7D)
(Corresponding sides of similar triangles are in proportion)
![\therefore \frac{CD}{20}=\frac{5}{4}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%7BCD%7D%7B20%7D%3D%5Cfrac%7B5%7D%7B4%7D)
![\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}}](https://tex.z-dn.net/?f=%5Ctherefore%20CD%20%3D%20%5Cfrac%7B5%7D%7B%5Ccancel%204%7D%5Ctimes%20%5Ccancel%20%7B20%7D%20%5C%3A%5C%3A%5Cblue%7B%5Cbold%7B5%7D%7D%20)
![\therefore CD = 5\times 5](https://tex.z-dn.net/?f=%5Ctherefore%20CD%20%3D%205%5Ctimes%205)
![\therefore CD = 25\: ft](https://tex.z-dn.net/?f=%5Ctherefore%20CD%20%3D%2025%5C%3A%20ft)
<span>280
I'm assuming that this question is badly formatted and that the actual number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts. So let's take each course by itself.
You can choose 1 of 7 appetizers. So we have
n = 7
After that, you chose an entre, so the number of possible meals to this point is
n = 7 * 10 = 70
Finally, you finish off with a dessert, so the number of meals is:
n = 70 * 4 = 280
Therefore the number of possible meals you can have is 280.
Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is
n = 77 * 1010 * 44 = 3421880
But I believe that it's highly unlikely that the numbers in this problem are correct. Just imagine the amount of time it would take for someone to read a menu with over a thousand entres in it. And working in that kitchen would be an absolute nightmare.</span>
Answer:
-14
Step-by-step explanation:
a·b = |a|×|b|×cos(angle between them)
= 4×7×(-1/2)
= -14