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KonstantinChe [14]
2 years ago
7

The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she

drew? Show your work. Round your answer to the nearest tenth.
Mathematics
1 answer:
Delicious77 [7]2 years ago
6 0

Answer:

Area of model pond = 45.6 inch² (Approx.)

Step-by-step explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)

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Linear equation are the equation which has the power of the unknown variable is 1. The Emily have total 2 number of dimes coin and total 6 number of nickels coin.

<h3>Given information-</h3>

Emily has 8 coins in her purse totaling 50 cents

The only kinds of coins she has are nickels and dimes.

<h3>Nickel</h3>

A nickel is a coin which has the value equal to the 5 cents.

<h3>Dimes</h3>

A dimes is a coin which has the value equal to the 10 cents.

Suppose the number of nickel coin is <em>x </em>and the number of dimes coin is <em>y.</em>

As total coins are 8 . Thus,

x+y=8      

x=8-y                  ......equation 1

As the total value of the cents is 50 and nickel is equal to the 5 cents whereas the dimes is equal to the 10 cents. Thus,

5x+10y=50        

Put the value of the <em>x</em> from the equation 1 in the above equation.

\begin{aligned}5(8-y)+10y &=50\\40-5y+10y &=50\\5y &=50-40\\y&=\dfrac{10}{5} \\y&=2\end

Thus Emily have total 2 number of dimes coin.

Put this value of y in equation 1 we get,

x=8-2\\x=6

Thus  Emily have total 6 number of nickels coin.

Hence the Emily have total 2 number of dimes coin and total 6 number of nickels coin.

Learn more about the coin based problems here;

brainly.com/question/10482015

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