Answer: For

Nick does not has enough money to follow this recommendation.
Step-by-step explanation:
Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.
Let y be the cost for car wash for m minutes then
such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.
Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.
For

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.
Answer:
74
Step-by-step explanation:

Hi there!

We can begin by multiplying by its conjugate:

Simplify using the identity:


Take the square root of the expression:

Multiply again by the conjugate to get a SINGLE term in the denominator:

Simplify:

Use the above trig identity one more:

Cancel out sinA:

Split the fraction into two:

Recall:

Simplify:

Answer:
a = 
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 9² = 12²
a² + 81 = 144 ( subtract 81 from both sides )
a² = 63 ( take square root of both sides )
a = 