Yes, because 6/7 is the same as 36/42 and 4/6 is the same as 28/42. It is easy to see that 6/7 is greater than 4/6
Answer:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
Step-by-step explanation:
Given two positive integers
and
.
To check whether
is an integer:
Condition (1):
Every factor of
is also a factor of
.

Let us consider an example:

which is an integer.
Actually, in this situation
is a factor of
.
Condition 2:
Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.
(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)
Let


which is not an integer.
So, the answer is:
<em>If statement(1) holds true, it is correct that </em>
<em> is an integer.</em>
<em>If statement(2) holds true, it is not necessarily correct that </em>
<em> is an integer.</em>
<em></em>
Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
Answer:
10.05 meters
Step-by-step explanation:
If the diameter is 3.2 meters, then the radius is 1.6 meters.
Use the circumference formula, C = 2
r, and solve for C
C = 2
r
C = 2
(1.6)
C = 3.2
C = 10.05
So, to the nearest hundredth of a meter, the circumference is 10.05 meters