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>
The answer is 17 1/4...but you probably can’t have 1/4 of a pie, so Mat can make a total of 17 pies
Answer:
Step-by-step explanation:
If the upper triangle has a right angle at Island C, we need only use the Pythagorean Theorem to find x:
(10 mi)^2 + (20 mi)^2 = x^2, so that
x^2 = 100 mi^2 + 400 mi^2 = 500 mi^2, which reduces to
x = +10√5 mi
Note that the shortest side (10 mi) is adjacent to a 30 degree angle. Thus, the upper triangle is a 30-60-90 triangle, meaning that the Pythagorean Theorem DOES apply here.
Next time, please incude ALL of the verbal instructions. Thank you.
I used to shovel snow for $5 an hour.
If ' t ' was the number of hours I spent shoveling somebody's driveway,
then ' 5t ' was the number of dollars he owed me for the job.
' t ' didn't even have to be a whole number. It worked fine with any number.
Answer:
61
Step-by-step explanation:
3x + 6 = 183
3x = 177
x = 59
(x+2) = (59+2) = 61
It is correct on khan academy
