<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15
<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
Answer:
√2 x √2 = 2
Step-by-step explanation:
Square roots that aren't perfect squares are irrational.
For Ex: √2 is irrational.
But √2 x √2 = √4 = 2. 2 is rational
Ex. 2 : √8 x √2 = √16 = 4. 4 is rational
Answer:
y = 9x + 5
With y in dollars and x in hours.
Step-by-step explanation:
Bike-a-Rama charges $9 hourly for each of their bikes. And they have a fixed maintenance fee of $5.
The total cost of renting a bike, just like almost every business venture, would be given as
Total Cost = (Fixed Cost) + (Variable Cost)
Total Cost = y (the total absolute cost of renting a bike)
Fixed Cost = The compulsory maintenance cost for everyone that wants to rent = $5
Variable Cost = (Rent Rate given per hour) × (number of hours the bike is rented)
Rent rate given per hour = $9 per hour
Number of hours the Nike is rented = x
Variable Cost = $9x
Total Cost = y = 5 + 9x
So, y = $(9x + 5)
Hope this Helps!!!
The system of equations does not have a solution.
For example, imagine these two equations y = x + 7 and y = x + 9
Now subsitute y in the second equation with the value from the first equation:
x + 7 = x + 9
x - x + 7 = 9
0 + 7 = 9
7 = 9.
That happens because the equations represent parallel lines, which do not have a common pair of points.
