This question is incomplete, the complete question is;
Nine pieces of 8-in. × 12-in. duct that is 2
ft in length is needed for a building. What is the total length (in ft) needed?
Answer:
the total length needed is 24 ft
Step-by-step explanation:
Given the data in the question;
the length of one piece of 8-in. × 12-in. duct is 2 ft
Now to find the total length for nine pieces of the duct;
we simple multiply 2 ft by nine
so
Total length = 9 × 2
we convert the mixed fraction to improper fraction
2 = 8/3
so
Total length = 9 × (8/3) ft
Total length = 24 ft
Therefore, the total length needed is 24 ft
The density of a substance is the ratio of its mass and its volume. The mass of the rod is 10,666.67 grams or 10.67 kgs.
<h3>What is the density of a substance?</h3>
The density of a substance is the ratio of its mass and its volume. Therefore we can write,
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
The length of the rod is 4 meters, therefore, the length of the rod in centimeters will be 400 centimeters. Thus, The mass in terms of density can be written as,
![= [2\cdot \dfrac{2x^{\frac32}}{3}]_0^{400}\\\\= [\dfrac{4x^{\frac32}}{3}]_0^{400}\\\\=[\dfrac{4(400)^{\frac32}}{3}]-[\dfrac{4(0)^{\frac32}}{3}]\\\\= 10,666.\bar6\rm\ grams](https://tex.z-dn.net/?f=%3D%20%5B2%5Ccdot%20%5Cdfrac%7B2x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%20%5B%5Cdfrac%7B4x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%5B%5Cdfrac%7B4%28400%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D-%5B%5Cdfrac%7B4%280%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D%5C%5C%5C%5C%3D%2010%2C666.%5Cbar6%5Crm%5C%20grams)
Hence, the mass of the rod is 10,666.67 grams or 10.67 kgs.
Learn more about Density:
brainly.com/question/952755
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Answer:
Congruent Supplements Theorem : If two angles are supplements of the same angles (or of congruent angles), then the two angles are congruent.
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