A.
54.008 cubic feet
B.
51.6 cubic feet
C.
78.128 cubic feet
D.
17.708 cubic feet
Answer:
Option A. 54.008 cubic feet
Step-by-step explanation:
we know that
The volume of the barrel is equal to
----> volume of the cylinder
we have
----> the radius is half the diameter
---> is the depth
substitute
Answer:Concept Development: We have learned why scientific notation is indispensable in science. This means that we have to
learn how to compute and compare numbers in scientific notation. We have already done some computations, so we
are ready to take a closer look at comparing the size of different numbers.
Step-by-step explanation:There is a general principle that underlies the comparison of two numbers in scientific notation: Reduce everything
to whole numbers if possible. To this end, we recall two basic facts.
1. Inequality (A): Let and be numbers and let > . Then < if and only if < .
2. Comparison of whole numbers:
a. If two whole numbers have different numbers of digits, then the one with more digits is greater.
b. Suppose two whole numbers and have the same number of digits and, moreover, they agree digitby-digit (starting from the left) until the
th place. If the digit of in the ( + )
th place is greater than
the corresponding digit in , then > .
Answer:
Negation is the correct answer to the given question
Step-by-step explanation:
The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .
For example :
F: Number is 5.
~F: Number is not 5.
Conditional statement Negation(~)
True False
False True
All the other option are not determine the inverse of the conditional statement so these are incorrect option .
Answer:
S = 14 inches
M = 18 inches
L = 23 inches
Step-by-step explanation:
Let's being by defining our variables:
Shortest piece = S
Middle piece = M
Longest piece = L
So now we need to write down what formulas we're given:
"Nagaraj has a party-length sandwich that is 55 inches long and is to be cut into three pieces"
so we can start by knowing the S + M + L = 55
"The middle piece will be 4 inches longer than the shortest piece"
This means that M - 4 = S
"the shortest piece will be 9 inches shorter than the longest piece"
Finally, this means that S + 9 = L
What we need to do now is turn all of these things into the form of one letter. We can see that S is in all three of these equations, so lets solve everything in terms of S.
M = S + 4
L = S + 9
Now we can plug in both of those things into our first equation to get:
S + S + 4 + S + 9 = 55
and now we solve :)
3S = 42
S = 14
So now given this we can use this to solve the other three lengths
M = 14 + 4 = 18
L = 14 + 9 = 23