Mathematics: Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.

Δ HFM- Δ PST What is the perimeter of triangle PST?

Ответ:

AviMali

18.01.2022

Step-by-step explanation:

$\triangle HFM \sim \triangle PST... (Given) \\\\\therefore \frac{HF}{PS} = \frac{FM}{ST} = \frac{HM}{PT}...(csst) \\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{45}{9}\\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \frac{30}{PS} = \frac{5}{1} \\ \\ \therefore PS = \frac{30}{5} \\ \\\boxed{ \therefore PS = 6 }\\ \\ \because \: \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \: ST = \frac{35}{5} \\ \\ \boxed{\therefore \: ST = 7} \\ \\ perimeter \: of \: \triangle PST \\ = 9 + 7 + 6 \\ = 22 \: units$

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Ответ:

terrysizemore666

22.05.2022

Mathematics

See explanation below

Step-by-step explanation:

Archimedes was able o obtain the actual volume of the supposedly gold made object by collecting the water displaced by the object as it was sunk on a bowl filled with water to the rim. Then knowing the volume displaced and therefore the volume of the object, he could find the object's density (mass over volume). The mass he could get just by weighting the object. and compare that with the density of any other object made of real gold (like for example a coin) and see if the quotient was the same. The density of both objects should be the same if they are made of the same material.

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Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.

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