The answer to the given questions is:
1. The sum of 1.0566 micrometers and 0.09425 micrometers is 1.1509 micrometers.
2. The quantity 47.6 mL - 1.733 mL is 45.867 mL.
3. The area of a rectangular crystal surface that measures 1.34 micrometers by 0.7488 micrometers is  1.0034 μm².
4. The mass of the photo frame that is constructed from two 3.00 mm sheets of polycarbonate with measures of 28 cm by 22 cm, is 443.5 g. Â
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Let's evaluate each question. Â Â Â
1. The sum of 1.0566 μm and 0.09425 μm is the following:
[tex] x = 1.0566 \mu m + 0.09425 \mu m = 1.1509 \mu m[/tex]
Hence, the result of the sum is 1.1509 micrometers.
2. The subtraction of 47.6 mL and 1.733 mL is:
[tex] y = 47.6 mL - 1.733 mL = 45.867 mL [/tex]
Then, the quantity 47.6 mL - 1.733 mL is 45.867 mL.
3. The area of the rectangular crystal surface is given by:
[tex]A = l*w[/tex]
Where:
l: is the length = 1.34 μm
w: is the width = 0.7488 μm
[tex] A = 1.34 \mu m*0.7488 \mu m = 1.0034 \mu m^{2} [/tex]
Therefore, the area of the rectangular crystal surface is 1.0034 μm².
4. The mass of the photo frame can be calculated with the equation:
[tex] m = d*V [/tex]
Where:
d: is the density = 1.2 g/cm³
V: is the volume
The volume of a prism is:
[tex] V = l*w*t [/tex]
Where:
t: is the thickness = 3.00 mm Â
Since the photo frame is constructed from two sheets of polycarbonate, the volume is:
[tex] V = 2(l*w*t) = 2(28 cm*22 cm*3.00 mm*\frac{1 cm}{10 mm}) = 369.6 cm^{3} [/tex]
Hence, the mass of the photo frame is: Â Â Â Â Â Â Â Â Â
[tex] m = d*V = 1.2 g/cm^{3}*369.6 cm^{3} = 443.5 g [/tex] Â Â
You can find more about the volume of prims here: https://brainly.com/question/15594686?referrer=searchResults            Â
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I hope it helps you! Â Â Â
