Unit Rate is the Constant Ratio
The first step is to find the relationship between the square base and the surface area.
Surface area (SA) = area of the square (SS) + area of triangles.4(AT)
Thus we can conclude area of triangles 4(AT) = SA - SS = 864 - (18*18)
4(AT) = 864 - 324 = 540
Each triangle = 540/4 = 135 square in.
An area of one triangle (AT)= (base* slant height)/2
The base = 18 in.
<span>slant height = 2(AT)/base = 2(135)/18 = 15</span>
Answer:
20ft
Step-by-step explanation:
We have two unknowns, the length and the width of the floor. Let us represent this by l and w respectively.
Firstly, we are told that the length of the floor is twice its width. This mathematically means that l = 2w
The width of the rectangular carpet is 2ft less than the width of the floor but the floor length is equal. This means that the width of the floor is (w - 2)ft
Now we are told that the area of the rectangular carpet is 160 sq.ft
This means the length of the carpet multiplied by the width is 160
Mathematically:
l * (w-2) = 160
We know that l = 2w, if we substitute this:
2w(w - 2) = 160
w(w -2) = 80
w^2 -2w = 80
w^2 - 2w - 80 = 0
w^2 -10w + 8w -80 = 0
w(w -10) + 8(w - 10) = 0
(w + 8)(w -10) = 0
w = -8 or 10
Since distance cannot be negative, we ignore the -8 and use the 10 only
Hence the width is 10ft
The length is 2 times the width. The length is thus 2 * 10ft = 20ft
Answer:
10.7
Step-by-step explanation:
300 - 289.3 = 10.7 calories.
Answer:
B) 
Step-by-step explanation:
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