Answer:
Step-by-step explanation:
You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.
You will find when you look on your trig identity sheet that
so we will make that replacement, getting everything in terms of sin:
Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:
We can factor out the sin(theta), since it's common in both terms:
Because of the Zero Product Property, either
or
Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:
The next equation needs to first be solved for sin(theta):
so
and
Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:
We can use the tangent rule for this problem because the opposite x is unknown and adjacent side 10 is knwon. Since,
Since tan 35°=0.474
Multiplying each sides by 10.
4.74=x
x=4.7 (Rounded to nearest tenth)
Answer:
The correct answer is NO. The best price to be charged is $3.75
Step-by-step explanation:
Demand equation is given by Q = 30 - 4P, where Q is the quantity of necklaces demanded and P is the price of the necklace.
⇒ 4P = 30 - Q
⇒ P = 
The current price of the necklace $10.
Revenue function is given by R = P × Q = 
× ( 30Q - 
)
To maximize the revenue function we differentiate the function with respect to Q and equate it to zero.
= × ( 30 - 2Q) = 0
⇒ Q = 15.
The second order derivative is negative showing that the value of Q is maximum.
Therefore P at Q = 15 is $3.75.
Thus to maximize revenue the price should be $3.75.
Answer:
c
Step-by-step explanation:
let me know if you got it right
