Applying the cosine law, we can determine:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>
<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>Now we solve for C</span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°
<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>
Answer:
The attached figure illustrates the graph.
Step-by-step explanation:
Let
x represents the count of open acres
y depicts the total developed acres
It is established that
corresponds to inequality A
corresponds to inequality B
Keep in mind that
if the open acres, x, is limited to a maximum of 1, then it follows that x must adhere to ≤ 1
The system of equations can be solved by graphing
The solution is found in the shaded area (Note Negative acreage counts are not permissible)
The attached figure serves as a visual representation.
The least number of times that two planes can cross is zero, since parallel planes do not intersect. A good example would be a floor and a ceiling, which run parallel, hence they do not meet. Conversely, if two planes occupy the same space, they can intersect at infinitely many points, as could happen with a line within that plane.
Answer:
Rotation = 1.
Reflection = 5 or 4.
Step-by-step explanation:
A regular octagon is defined as an octagon with eight equal sides.
To appropriately color one diagonal red and the other blue, ensuring they intersect (inside), we can follow these steps:
=> First, color one diagonal red.
=> Fix the position of another end.
=> Identify the possibilities.
The outcome can be derived from Burnside's Lemma resulting in Rotation = 1 and Reflection = 5 or 4.
