By using the dimensional analysis 580 lb = 263.084 kg.
What is dimensional analysis?
Dimensional analysis, which is used in both engineering and science, examines the links between various physical quantities by determining their foundational quantities and units of measurement and then following these dimensions while computations or comparisons are made.
A technique for analysis that, in the absence of sufficient data to establish accurate equations, expresses physical quantities in terms of their fundamental dimensions.
We have to convert 580 lb into kg along with the dimensional analysis.
Since, 1 pound (lb) is equal to 0.45359237 kilograms (kg).
So,
580 lb = (0.4535927) x 580
580 lb = 263.0835746
580 lb = 263.084 kg
Hence, along with the dimensional analysis 580 lb = 263.084 kg.
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Answer:
A, B, C, D, and F are all solutions.
Step-by-step explanation:
All of the possible answers are correct except for E. Answer E is 0.001 less than -4 which would not make the equation true. Hope this helps!!
Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
The formula for the area of the triangles is base x hight divided by 2 (bh/2)
The formula for the square is length times width (l x w)
therefore...
bh/2 = (12)(6) / 2 = 36 (this is the area of one triangle)
then you need to times 36 by 4 because you have 4 triangles.
36 x 4 = 144
l x w = 12 x 12 = 144 (this is the area of the square)
last you need to add the area of the triangles (144) and the area of the square (144) because that will give you the total surface area of the shape.
144+144= 288
so your answer is 288cm squared (288cm2)
