To solve for sin(-135), the reference angle will be obtained as follow:
sin(-135)
=-sin(135)
=-sin(180-135)
=-sin 45
hence
the reference angle θ=45°
Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
And for the y-coordinate, we have:
The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
Answer:
Step-by-step explanation:
A
Answer: 137.5 in
Step-by-step explanation: All we have to do is multiply 25 to 5.5 to get the original result. Since the scaling is 1/25, it means it is 25 times smaller. Thus, just multiply 25 to 5.5 and you get 137.5 in, the original result.
Given:
A right triangle on a coordinate plane.
To find:
The area of a triangle.
Solution:
We know that, the area of a triangle is
From the given figure it is clear that the base of the triangle is 4 units and the height is 3 units. So, the area of the given triangle is
The area of the given triangle is 6 units². Therefore, the correct option is B.