Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes, the irrational number stays irrational.
Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers. If you like, they can be relatively prime to each other.
a/b + x = c/d Subtract a/b from both sides.
x = c/d - a/b Now put the 2 fractions over a common denominator.
x = (c*b - d*a)/(b*d) Investigate what you have.
b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).
cb and da are also integers. subtracted integers are also closed under subtraction.
But
Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)
So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.
The difference between 7821 - 4699 = 3122
If you subtract 7821 - 4699 then it would equal 3122
Hope that helps
The answer is 2285.92 in³.
STEP 1: Calculate the volume of the log: V1 = ?
STEP 2: Calculate the volume of the cylinder: V2 = ?
STEP 3: Subtract these two volumes to get <span> the volume of the remaining portion of the log: V = V1 - V2
The volume of a cylinder is:
V = </span>π · r² · h
(π = 3.14, r - radius, h - height)
It is given:
h1 = h2 = h = 28 in (height of the log is the same as the height of the cylinder)
r1 = 7.5 in
r2 = 5.5 in
STEP 1: Calculate the volume of the log: V1 = ?
V1 = π · r1² · h = 3.14 · 7.5² · 28 = 4945.5 in³
STEP 2: Calculate the volume of the cylinder: V2 = ?
V2 = π · r2² · h = 3.14 · 5.5² · 28 = 2659.58 in³
STEP 3: Subtract these two volumes to get the volume of the remaining portion of the log:
V = V1 - V2 = 4945.5 in³ - 2659.58 in³ = 2285.92 in³
Answer:
a) 675 b) 1050 c) 675 d)455 e) 120
Step-by-step explanation: