An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:
Let a and b be two sides of a triangle and c is the longest side:

So taking your given:

<

100 + 225 <

325 <

To get the smallest possible number, just get the square root of both sides:

<

18.03 < c
So your smallest possible whole number is 19
We can write a system of equations:
1x + 10y = 182
x + y = 56
Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.
To find this we can solve using substitution.
Re-arrange the 2nd equation:
x + y = 56
Subtract 'y' to both sides:
x = -y + 56
Now we can plug in '-y + 56' for 'x' in the first equation.
1x + 10y = 182
1(-y + 56) + 10y = 182
-y + 56 + 10y = 182
Subtract 56 to both sides:
-y + 10y = 126
Combine like terms:
9y = 126
Divide 9 to both sides:
y = 14
Now we can plug this into any of the two equations to find the 'x' value.
x + y = 56
x + 14 = 56
Subtract 14 to both sides:
x = 42
So our final answer is (42, 14).
This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
Answer:
no
Step-by-step explanation:
it has no number behind it so it is just 12 which is a integer
Answer:
2 1/2 miles per gallon
Step-by-step explanation:
So to travel 8 3/4 miles, we need 3 1/2 gallons of gas. All we need to do is divide the gallons of gas by miles. So we would do 8 3/4 divided by 3 1/2. 3 1/2 goes into 8 3/4 2 1/2 times.