Answer:
99
Step-by-step explanation:
That quadrilateral equals to 360. So i had to add the numbers which equal 261. Then i did 360-261=99.
Answer:
linear sequence
Step-by-step explanation:
because the numbers have a common difference
Answer:
Step-by-step explanation:
Start by determining the simpler angle 
(or, the complement of the highlighted angle in red on your image). The cosine of that angle is
Now, back to the actual red-circled angle. That one is going in the negative direction and ends up in the same position on the unit circle. Since cosine is an even function, its value is the same whether you evaluate at an angle theta, or its complement 2pi-theta. So, the final answer is:
I think the correct answer from the choices listed above is option D. The equation that would satisfy all of the points plotted above would be y=-2x. From the plot, we can see that the y-intercept is equal to zero and by using two points we can calculate the slope to be equal to -2. Giving an equation which is y=-2x.
Answer:
Option D
Step-by-step explanation:
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!!!
