Answer:
As number of gallons of gas minus 9 leaves 3 gallons, denote g as number of gallons: g - 9 >=3.
Then g>= 12
Answer:
Step-by-step explanation:
Discussion
You are working with the Cosine of the angle.
Hypotenuse = 12.5
Base = 3
Theta = ?
Solution
Cos(theta) = base / hypotenuse Substitute values
Cos(theta) = 3 / 12.5 Divide
Cos(theta) = 0.24 Tale the inverse cos
theta = cos-1(0.24)
theta = 76.11 degrees
Answer:
225 necklaces.
Step-by-step explanation:
Assuming that they have the necessary amount of straws to match the beads then we can use the following simple equation to solve this problem.
t = b/12 ... where t is the total amount of necklaces and b is the number of beads you have
t = 2700 / 12
225 necklaces.
For 225 necklaces you would also need 1125 straws since each necklace requires 5 straws to be fully made. Therefore if you have this amount you should not run into any problems.
Answer:
(a) If r is any rational number and s is any irrational number, then r/s is rational
(b) The statement is false when r is 0
Step-by-step explanation:
Given
rational number
irrational number
irrational number
Solving (a): The negation
To get the negation of a statement, we only need to negate the end result
In other words, the number type of r and s will remain the same, but r/s will be negated.
So, the negation is:
rational number
irrational number
rational number
Solving (b): When r/s is irrational is false
Given that:
irrational number
Set r to 0
So:
-- rational
<em>Hence, the statement is false when r is 0</em>
