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:
The largest side is OP.
Step-by-step explanation:
ΔNOP, m∠N = 110° and m∠O = 38°
According to he property of the triangle, the sum of all the angles of the triangle is 180°,
So,
m∠N + m∠O + m∠P = 180°
110° + 38° + m∠P = 180°
m∠P = 32°
The side opposite to the largest angle is largest.
Here the largest angle is m∠N so the largest side is OP.
Answer:
(x - 2)(x + 2)
Step-by-step explanation:
x² - 4 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), that is a product of two binomials
Given
x² - 4
= x² - 2²
= (x - 2)(x + 2)
First is to get the volume of the cylinder.
Volume = pi * r^2 * H
Volume = 3.1416 * (5/2)^2 * 30
Volume = 589.05 in^3
30% is already filled.
Filled Space = 589.05 * 0.30
Filled Space = 176.715 in^3
Empty Space = 412.335 in^3
Next, get the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*pi*(0.6/2)^3
V = 0.1130976 in^3
Number of foams = Filled Space / V
Number of foams = 176.715 / <span>0.1130976
Number of foams = 1562 Foams</span>
