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ThePotato381
25.09.2020 •
Mathematics
Upon completion of an experiment a student realizes that the technique used for measuring the length and width of a rectangle has a systematic error of 3.8 cm. (The measured length is always more than the actual length.) If the student found the most probable values of the width and length to be 85.7 cm and 123.5 cm, respectively; what is the systematic error of the area of the board
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Ответ:
809.4cm²
Step-by-step explanation:
Given the following :
Systematic error = 3.8cm (The measured length is always more than the actual length.)
Most probable dimension :
Width = 85.7 cm
Length = 123.5 cm
Hence most probable area of Rectangle :
Area = Length × Width
Area = 85.7cm × 123.5cm = 10583.95 cm²
Dimension due to Systematic error :
Length = (85.7cm + 3.8cm) = 89.5cm
Width = (123.5cm + 3.8cm) = 127.3cm
Area = Length × width
Area = ( 89.5cm × 127.3) = 11393.35cm²
Systematic error of the area :
value of area with Systematic error - Probable value of area :
11393.35cm² - 10583.95 cm² = 809.4cm²
Ответ:
7/4
Step-by-step explanation:
7x - 5 = 4y - 6
4y = 7x + 1
y = (7/4)x + (1/4)
Slope is 7/4