The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=42, B=120°, and c=35. Plugging in the values:
b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).
Simplifying gives:
b^2 = 4459.
Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).
This means that the length of the third side is 66.78 units!!!
<h2>Finding the y-intercept given the Graph of the Line</h2>
Answer:
The -intercept is
Step-by-step explanation:
The -intercept of line is just the point where the -axis and the line. From the given line, we can see that the -axis and the line that models the temperature on a certain winter day since sunrise . Also, the question just asked us for the -coordinate of the -intercept so