3a+b+c
The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.
So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:
16a+8b-6c - 2*(5a+3b-4c) =
16a+8b-6c -10a-6b+8c =
6a+2b+2c
half of that is
(6a+2b+2c)/2 = 3a+b+c
Answer:
d. Ore treated with the new process.
Step-by-step explanation:
This is a common practice in statistics, in which we use a sample of a population to infer something about the entire population. We should use a sample of 100.
For example, if we want to know the proportion of residents of Buffalo, New York, who are Bills fans, we are going to take a sample of like, 100 residents, and then use this to estimate for the entire city.
In this problem, we have that:
A new process that is supposed to increase the recovered amount is being tested. In a simple random sample of 100 batches of ore, an average of 42 pounds per ton were recovered using the new process.
So the population of interest is the ore treated with new process. We use a sample of 100 to gather information about the entire population.
So the correct answer is:
d. Ore treated with the new process.
Answer:
The answer is B.
Step-by-step explanation:
Given that the total angles in a triangle is 180° so in order to find the value of x, you have to substract 60° and 80° from 180° :
Given:
Volume of a rectangular prism is:
Dimensions of the rectangular prism are:
To find:
The height of the rectangular prism.
Solution:
The volume of a rectangular prism is:
After substituting the values, we get
Therefore, the correct option is C.
