Answer:
- <em><u>1/6 is a rational number</u></em>
Explanation:
The <em>integer numbers</em> are not fractions. Integer numbers are the whole numbers (1, 2, 3, 4, 5, ...) which are positive, and their negatives (-1, -2, -3, -4, -5, ...). Zero is also included in the set of the integer numbers, so they are:
- . . . , - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, . . .
The fractions are rational numbers. Per definition a rational number is the ratio of two integer numbers.
The rational numbers include the integer numbers but is a bigger set, i.e. every integer number is a rational number but not every rational numbers are integer. So, 1/6 is an example of an rational number that is not an integer number.
Any fraction that can be simplified to an integer number is an integer (and also a rational number); any fraction that cannot be simplified to an integer is a rational number but not an integer.
Answer:
B and C
Step-by-step explanation:
vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are congruent = they are equally large.
the angles listed in B and C are mirrored across either an imaginary or a directly visible line. and that makes them vertical angles.
The given scenario above is like a geometric sequence with r or common ratio being 1.05 and the first term being 31 square meters. The nth term of the sequence is calculated through the equation,
A15 = (A1)(r)^(n - 1)
Substituting,
A15 = (31)(1.05)^(15 - 1) = 61.3778 square meter
Therefore, the area covered by the spill after the 15th day is approximately 61.4 square meters.
Answer:
see explanation
Step-by-step explanation:
To find k, calculate the ratio of corresponding sides, image to original, that is
k = 
= 
= 
Thus
QR' = × QR = × 21 = 2 × 3 = 6 , that is
x = 6 → C
Answer:
REALS. all real numbers are solution for the equation
Step-by-step explanation:
for the equation
x² = (x + 3)*(x − 3) + 9
distributing the terms in the parenthesis
x² = (x + 3)*(x − 3) + 9 = [x² - 3*x + 3*x - 3*3 ] + 9
x² = x² - 9 + 9
0 = 0
since this statement will be true regardless of the value of x , then the equation has solution for all real numbers .
