Answer:
32.5
Step-by-step explanation:
isnt are width times height
Hello!
The easiest way to solve for the value of both angles is to reduce the given angle to an acute angle.
Given that both of the angles are located in the second quadrant (90° < x < 180°), we use these reduction formulas: sin(180° - x) = sin x, and cos(180° - x) = -cos x, when x is equal to 150°.
Notice that cos is negative while sin is positive. In the first quadrant, sine is always positive and while in the fourth quadrant, cosine is always positive while sine is not.
sin(180° - 150) = sin 30 = 1/2 (using the unit circle)
cos(180° - 150) = -cos 30 = -√3/2 (using the unit circle)
<u>Final answers</u>:
- sin 150° = 1/2
- cos 150° =
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Answer:
Each person gets 2 muffins
Step-by-step explanation:
12 divided by 6 is 2
Answer:
P(t) = 2093e^(42t).
Step-by-step explanation:
The population of this town can be modeled by the following differential equation
dP/dt = Pr
where r is the growth rate in people a year.
We can solve this differential equation by the separation of variables method.
dP/P = rdt
Integrating both sides, we have:
ln P = rt + P0
where P0 is the initial population
To isolate P, we do this:
e^(ln P) = e^(rt + P0)
P(t) = P0e^(rt).
We have that the population increases by 42 people a year, so r = 42. We also have that the population at time t = 0 is 2093 people, so P0 = 2093.
So the formula for the population, P, of the town as a function of year t is P(t) = 2093e^(42t).
Answer:
b
Step-by-step explanation: