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Leno4ka [110]
3 years ago
13

1. The surface area of a cylinder is T=2rtrh+2tr2, where T is the surface area, andr

Mathematics
2 answers:
stellarik [79]3 years ago
6 0

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

got this correct in exam

kap26 [50]3 years ago
4 0

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

given:

A penny is a cylinder with a diameter of 19.05 millimeters

and a thickness of 1.55 millimeters.

find:

what is the surface  area of a penny?

<u>surface area of a cylinder formula: </u>

As = 2 π r h + 2 π r²

let r = 19.05 / 2

r = 9.53 mm

let h = 1.55mm

plugin values into the formula:

As = 2 π (9.53) 1.55    +    2 π (9.53)²

As = 92.76 +  570.05

As = 662.81 mm²

therefore,

the surface  area of a penny = 662.81 mm²

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Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

The equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

a=10\times\dfrac{60}{100} \\a=6

Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,

0.5x+0.9y=6

This is the required equation.

Hence the equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

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