Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.
<h3>How to apply dimensional analysis in unit conversion</h3>
In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:
y = A · x (1)
Where:
- x - Original magnitude, in square inches.
- y - Resulting magnitude, in square feet.
- A - Conversion factor, in square feet per square inch.
Dimensionally speaking, area is equal to the product of length and length:
[Area] = [Length] × [Length]
And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:
x = 359 in² × (1 ft/12 in) × (1 ft/12 in)
x = 359 in² × (1 ft²/144 in²)
x = 2.5 ft²
Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.
To learn more on unit conversions: brainly.com/question/11795061
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Midpoint is (X1+X2)/2 and (Y1+Y2)/2. Therefore it would be (10+8)/2 Which is 9.
And (2-3)/2 which is -1/2. THE MIDPOINT WOULD BE (9,-1/2)
Based on the absolute deviations and the predicted values, the sum of absolute deviations will be <u>4.8.</u>
<h3>What would be the sum of absolute deviations from predicted values?</h3>
This can be found as:
= ∑ (Observed value - Predicted value)
The observed values are given in the table and the predicted values will be calculated using y = 3.6x - 0.4.
Solving gives:
= [3 - (3.6 x 1 - 0.4)] + [7 - (3.6 x 2 - 0.4)] + [ 9 - (3.6 x 3 - 0.4)] + [14 - (3.6 x 4 - 0.4)] + [15 - (3.6 x 5 - 0.4)] + [21 - (3.6 x 6 - 0.4)] + [25 - (3.6 x 7 - 0.4)]
= 0.2 + 0.2 + 1.4 + 0 + 2.6 + 0.2 + 0.2
= 4.8
Find out more on absolute deviation at brainly.com/question/447169.
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- BCD is an isosceles right triangle , right angled at D
- ABC is an equilateral triangle
❒ Sum of all angles is 180° , since it is an equilateral triangle all the three angles would be same
(Isosceles triangle)
