Step-by-step explanation:
what is the problem ? this is very straight forward with a calculator :
cos(64°) = y/8
y = 8×cos(64°) = 8×0.438371147... = 3.506969174... ≈
≈ 3.5

The given Angles (4x + 2) and (3x + 3) are forming linear pair, so
now, let's find Angle DCB :
Answer:
Figure 1: 226 
Figure 2: 111 
Step-by-step explanation:
For the first figure, you will split it into two rectangles. You would do 28 x 7 for the first rectangle and get 196. Then, you would do 6 x 5 for the second rectangle and get 30. You would then add these two numbers and get the area of 226 ft^{2}}.
For the second figure, you split it into one triangle and two rectangles. For the triangle, you would do 3 x 6 and then divide that by 1/2, since it is a triangle, and you get 9. For the first rectangle, you would do 10 x 7 and you would get 70. For the final rectangle, you would do 8 x 4 and get 32. You would then add all these numbers up and get the area of 111 mm^{2}.
Answer:
(C)4
Step-by-step explanation:
Given the line: 
The gradient of the line, 
A line perpendicular to the given line will have a gradient,
(by definition of perpendicularity).
Therefore, a perpendicular line that passes through the point (4,1) is:

Comparing with the slope-intercept form y=mx+x, the slope of the perpendicular line, b=4.