Answer:
a
Step-by-step explanation:
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
The area of a sector is given by
.. A = (1/2)r^2*θ . . . . . θ is the central angle in radians
The area of an isosceles triangle with legs length r is
.. A = (1/2)r^2*sin(θ) . . . θ is the angle between same-length legs
The shaded area is the difference between these
.. A = (1/2)r^2*(θ -sin(θ))
.. = (1/2)*(18.6 m)^2*(π*123/180 -sin(123°))
.. ≈ 226.3 m^2
10 1/3 = 10 3/9
3/9 + 7/9 = 1
10 + 1 = 11
Answer = 11
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) we have

Solve for x
Apply log both sides




Part 2) we have

Apply ln both sides


Remember that


