Georgia is correct because there is four numbers after the decimal
Answer:
They'll be able to get 34 bottles from the containers.
Step-by-step explanation:
Since the bottles are cylindrical we can calculate their volume by using the following formula:
V = base_area*h
V = \pi*(r^2)*h
r = d/2 = 4/2 = 2 inches
V = 3.14*(2^2)*5 = 3.14*4*5
V = 3.14*20 = 62.8 inches^3
In order to know how many full bottles the players will get we need to divide the total volume of the containers, which is given by the sum of the volume of each container, and divide it by the volume of each bottle. We have:
bottles = (345*pi + 345*pi)/62.8 = 690*pi/62.8 = 2,166.6/62.8 = 34.5
Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.
B is the correct answer I think
Answer:
tan ∅ = 24 / 7
Step-by-step explanation:
cos ∅ = 7 / 25
sin^2 ∅ + cos^2 ∅ = 1
sin^2 ∅ + (7 / 25)^2 = 1
sin^2 ∅ = 1 - 49 / 625
sin^2 ∅ = 625 - 49 / 625
sin^2 ∅ = 576 / 625
sin ∅ = root 576 / 625
sin ∅ = 24 / 25
tan ∅ = sin ∅ / cos ∅
tan ∅ = 24/25 / 7/25
Therefore, tan ∅ = 24 / 7
OPTION 4. 24 / 7