Well lets work it out.
Diameter = 2 * Radius
Diameter * 1/2 = 1/2 * 2 * Radius
That would mean that the Radius would also be halved.
(1/2 * Radius)^2 * pi * height = volume, and 0.5^2 = 1/4, so its volume is reduced by a fourth
Answer:
B) x = 8
; y = 4
Step-by-step explanation:
in a 30-60-90° triangle the sides, respectively, are in the ratio of
1 :
: 2
we can find 'x' by creating this proportion:
12/
= x/2
cross-multiply to get:
x = 24
x = 24/
we can simplify this by 'rationalizing the denominator' which is to
multiply numerator and denominator by
to get:
(24
)÷3, which is 8
we know that side 'y' is half that of side 'x'
therefore y = 4
Answer:
Proof
Step-by-step explanation:
PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason
due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.
Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic
Answer:
This is not a linear function.
Step-by-step explanation:
It is a quadratic function. If you were to make a table of the x and y values of the function it would look like this:
x y
0 -4
1 -1
2 8
Just by looking at these three values, we can see that they do not increase at a consistent rate. It increases by 3 from 0 to 1, but increase by 9 from 1 to 2. You can tell if a function is linear by seeing if it increases at a constant rate. (In this case it does not)