Answer:
15 figures
Step-by-step explanation:
To know with this, and knowing that each dimension is 10% longer, let's do a simple example assuming some random values.
Let's suppose that you have cylinder with a radius of 3 cm and height of 5 cm. The volume of this cylinder is:
V = π*(3)^2*5 = 45π cm^3
Now, if we raise the dimensions by 10%, the radius and height will be 3.3 and 5.5 respectively so, the new volume (V2) will be:
V2 = π*(3.3)^2*5.5 = 59.9π cm^3
So the ratio of both volumes is:
59.9π/45π = 1.331
This means that each new solid would have 1.331 times the volume of the original solid. Therefore, we can stablish a relation between the original figures and the new ones calling "x" the number of new figures so:
20 = 1.331x
solving for x:
x = 20/1.331
x = 15.03
You can round this to 15.
The given statement "A theorem is a statement that can be easily proved using a corollary" is false.
Answer: False
<u>Step-by-step explanation:</u>
A statement that would be proven on the basis of postulates and before proven theorem is called Theorems. "Corollary", a theorem that should come from a previous theorems (part of another statement). Contrary to the definitions, this may be reversible or irreversible if they are presented in the form "if - then."
Example for theorem: The measured angles of a triangle added to 180 degree.
The theoretical aspects of geometry consists of definitions, theorems, and postulates. Basically, these are elements of geometric proof.
Answer: The answer is D) <em>126in3</em>
Step-by-step explanation:
When you multiply 42 and 9 you get 378, so from there you divide your answer by 3 which gets you
<em>126in</em>
