You need a common denominator when adding or subtracting fractions.
We have to evaluate cos(2θ), knowing that θ is in the first quadrant and in standard position P(u,v) = (3,4).
We can picture this as:
We can write the relation:
We now look at the identities to find cos(2θ):
There are many identities for cos(2θ), but this is expressed in the information we already know, so we can solve as:
Answer: cos(2θ) = -7/25
Answer:
Tony needs to sell 85 more boxes to raise a profit of $180.
Step-by-step explanation:
We are given the following in the question:
Profit per box =
Number of boxes sold = 75
Profit earned on 75 boxes =
Total profit to be raised = $180
Amount of profit left to be earned =
Number of boxes to be sold to earn a profit of $95.625 =
Thus, Tony needs to sell 85 more boxes to raise a profit of $180.
Answer:
C. 54,000 m^2
Step-by-step explanation:
2 sides + 2 more sides
2(150x100) + 2(150x80)
30000 + 24000
54000m^2
Answer:
4 miles
Step-by-step explanation:
A small truck can be rented from Ralph's rentals for a fee of $30 plus 5 dollars per mile.
If the total distance (in miles) traveled in both trucks is x, then, the cost of renting from Ralph's rentals is:
C = 30 + 5x
The same size truck can be rented from Rickies rentals for a fee of $22 plus 7 dollars per mile. This implies that the cost of renting from Rickies rentals is:
C(R) = 22 + 7x
C(R) and C will be the same when:
30 + 5x = 22 + 7x
Collecting like terms and simplifying:
30 - 22 = 7x - 5x
8 = 2x
=> x = 8 / 2 = 4 miles
The cost of renting the small truck from both companies will be the same after traveling 4 miles.