For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
Answer:
Addition and Subtracttion
Step-by-step explanation:
The order of operations has to with a generally accepted order to follow when evaluating a mathematical expression.
PEDMAS or BODMAS is the order of operations to follow.
The two operations that are on the same level within the order of operations are addition and subtracttion
This means that, neither has a preference over the other.
Answer:
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Step-by-step explanation:
Average rate of change:
The average rate of a function f(x) in an interval [a,b] is given by:
In this question:
What is the average rate of change of Demand between 40 and 175 units sold?
. So
So
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
The correct answer is <span>1 and 1/2
Hope I helped</span>
Answer:
Dist = 45 m/h * x h
Step-by-step explanation:
We know a speed is a measure of distance over time: speed = dist / time
In this case, we are looking for a distance expressed in terms of time.
So, we only need to modify the formula a bit: dist = speed * time
We don't know the time (which will be a variable), but we know their speed. So, the formula becomes:
Dist = 45 m/h * x h
Enter the number of hours in the formula and that will give you an approximation of the distance traveled within that time (approximation since our result will be rely on an average).
