I believe it is the first 1
84 sq. ft of the wall has to be covered with paint or wallpaper.
Step-by-step explanation:
- Step 1: Find the area of wallpaper to be covered by calculating the area of the wall and subtracting the areas of the window, mirror and fireplace from it. All are rectangular in shape with are given by A = length × width
Area of the wall = 8 × 16 = 128 ft²
Area of the window = 18/12 × 14 = 1.5 × 14 = 21 ft² (since 1 ft = 12 in)
Area of the fireplace = 5 × 3 = 15 ft²
Area of the mirror = 4 × 2 = 8 ft²
- Step 2: Calculate the area to be painted or covered with wallpaper
Area of the wall to be covered with paint or wallpaper = 128 - (21 + 15 + 8)
= 128 - 44
= 84 ft²
Answer:
Cos A < 0 in the 3rd and 4th quadrants
Tan A < 0 in the 2nd and 4th quadrants
Step-by-step explanation:
In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.
In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive
In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.
In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.
In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.
Thus, comparing all above with the question, we can say that;
Cos A < 0 in the 3rd and 4th quadrants
Tan A < 0 in the 2nd and 4th quadrants