one elegant hotel has a grand dining room. each of the room's three walls facing the gardens contains 8 insulated windows. the dimensions of the window are shown. when the windows were insulated, a glaze was applied to the exterior face to seal each window from weather elements. which of the following equations could the contractor have used to determine the amount of glaze, g, required?
A. g=(3*8)(36*60+1/2 pie*18^2)
B. g=(3*8)(36*60+pie*18^2)
C. g=(3*8)(36*60+1/2 pie*18)********
D. g=(3)(8*36*60+1/2 pie*18^2)
is this right sorry if I dont have the pic i dont know how to get it on here.
The answer would be: A. g=(3*8)(36*60+1/2 pie*18^2)
The function would be: g= a*b*c where
a= number of wall = 3
b= number of windows per wall = 8
c= the area of the window
The windows is made from a half circle and a rectangle. The area of each shape would be:
rectangle: 36 inch * 60 inch
half circle: 1/2 * pi * 18inch^2
total windows area= rectangle area + half circle area
total windows area= (36* 60 + 1/2 * pi * 18^2)
Then the function would be:
g= a*b*c
g= 3 * 8 * (36* 60 + 1/2 * pi * 18^2)
A. g=(3*8)(36*60+1/2 pie*18^2) ----> true
B. g=(3*8)(36*60+pie*18^2) ----> false circle area, the circle isn't half
C. g=(3*8)(36*60+1/2 pie*18) ------> false circle area, the radius is not ^2
D. g=(3)(8*36*60+1/2 pie*18^2) -------> only the rectangle multiplied by 8
God Bless you!!!
I guess you have 8 windows on each of three walls and they are 3 ft by 5 ft EACH with a semicircle above? If you are covering the area of the surface the area of the semicircle is (1/2) pi r^2 = (1/2) pi*18^2 and you need B
forgot it was semicircles
To determine the amount of glaze required for the insulated windows, we need to consider the total surface area of all the windows.
Let's break down the given information and work through the problem step by step:
- The dining room has three walls facing the gardens, and each wall contains 8 insulated windows. This means we have a total of 3 walls * 8 windows per wall = 24 windows in total.
- The dimensions of each window are not given, so we don't have specific measurements to use in the equation. However, we can still solve the problem conceptually using basic principles.
- The glaze is applied to the exterior face of each window to seal it from weather elements. This means we need to calculate the total exterior surface area of all the windows.
Now, let's examine the given answer choices:
A. g = (3*8)(36*60 + 1/2 * π * 18^2)
B. g = (3*8)(36*60 + π * 18^2)
C. g = (3*8)(36*60 + 1/2 * π * 18)********
D. g = (3)(8*36*60 + 1/2 * π * 18^2)
Based on our understanding of the problem and the concept of calculating the total surface area, we can eliminate choices A, B, and D.
Choice C seems to be the correct equation. Let's break it down to confirm:
g = (3*8)(36*60 + 1/2 * π * 18)
In this equation:
- (3*8) represents the number of windows in the dining room.
- (36*60) represents the dimensions of each window, assuming 36 inches by 60 inches.
- (1/2 * π * 18) represents the glaze required to seal the circular portion of each window, assuming a diameter of 18 inches.
So, choice C correctly accounts for the surface area of each rectangular window and the circular portion of each window, making it the most suitable option for calculating the amount of glaze required.
Remember to double-check measurements and units as per the given dimensions or specifications to ensure accurate calculations.