The surface area of the composite figure is; SA = 224 in.²
<h3>How to find the area of a Composite Figure?</h3>
From the composite figure attached, we can find the surface area of each of the rectangular/square external face seen as;
SA= 2(10 * 2) + 2(4 * 7) + 2(4 * 4) + 2(4 * 2) + (4 * 7) + (10 * 4) + (3 * 4)
SA = 40 + 56 + 32 + 16 + 28 + 40 + 12
SA = 224 in.²
Thus, we can conclude that the surface area of the composite figure is;
SA = 224 in.²
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Answer:
The estimated average electric cost amount of all residents in Las Cruces = 182.9
Step-by-step explanation:
The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be
135 265 215 103 156 203 125 156 230 241
Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.
This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.
Sample mean ≈ Population mean
μₓ = μ
Mean = = (Σx)/N
The mean is the sum of variables divided by the number of variables
x = each variable
N = Sample size = 10
Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829
Sample mean = (1,829/10) = 182.9
Population mean ≈ sample mean
Population mean ≈ 182.9
Hope this Helps!!!
Sorry for the messy handwriting
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
Now, comparing areas:
2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>
