Answer:


Step-by-step explanation:
Given




See comment for missing part of the question
Required
Complete the expression to determine the dimension of a rectangle
We have:

Open bracket

Equate to 0

Expand

Factorize

Factor out x + 2

Solve for x
or 
or 
The value of x cannot be negative
So:

Recall that:


So:

---- i.e. 5 - 3
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.
Answer:
1 e
2 b
Step-by-step explanation:
Answer: 52.5 units squared
Step-by-step explanation:
The formula to find the area of a trapezoid is, (base1 + base2)/2 * height
So you find out which variable is which
Base 1 = 4
Base 2 = 3
Height = 15
Then plug it into the formula,
(4+3)/2 * 15
Then solve the order of operations
7/2 * 15
3.5 * 15
52.5 is the answer