Did you ever get the answer?
<h2>
Answer:</h2>
B. |y| = 1.6
<h2>
Step-by-step explanation:</h2>
A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
<em>To get the magnitude of the vector's vertical component</em>
<em>Substitute these values into equation(ii) as follows;</em>
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
Answer:
10 units squared
Step-by-step explanation:
Looking at the figure, we can observe that it consists of two triangles: one on the left of the y-axis and one on the right. This means that we can find the separate areas of each triangle and then sum them to get the total area.
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
<u>Left Triangle</u>:
The base is 4 and the height is 4, so the area is:
A = (1/2) * b * h
A = (1/2) * 4 * 4 = (1/2) * 16 = 8 units squared
<u>Right Triangle</u>:
The base is 2 and the height is 2, so the area is:
A = (1/2) * b * h
A = (1/2) * 2 * 2 = (1/2) * 4 = 2 units squared
The total area is 8 + 2 = 10 units squared.
<em>~ an aesthetics lover</em>