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LUCKY_DIMON [66]
2 years ago
14

John has a map that shows a rectangular park with a circular pond. The scale on the map is 114 cm : 8 yd. On the map, the width

of the park is 212 cm, and the length is 614 cm. The pond has a diameter of 114 cm. Use 3.14 for pi. what is the area of the park
Mathematics
1 answer:
Ivenika [448]2 years ago
4 0

Answer:

The area of the park is 119,966.14 cm if needed to round it would be 119,966 cm.

Step-by-step explanation:

first we would use A=length x width

so a = 614 cm x 212 cm = 130,168 cm

now we find the area of the pond using a= pi x r^2

the diameter is 114 cm so we cut that in half to find the radius which is 57 cm

a = pi x 57^2

a= 3.14 x 3249

a= 10201.86 cm

now we subtract the area of the pond from the whole area

130,168 - 10201.86 = 119,966.14 cm

The area of the park is 119,966.14 cm if needed to round it would be 119,966 cm

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Answer:

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

Step-by-step explanation:

we know that

The dimensions of the garden in the actual are 10 ft by 5 ft

The dimensions of the garden on the scale drawing are 12 in. by 6 in

step 1

Find the scale factor

To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual

so

\frac{12}{10}\ \frac{in}{ft}

simplify

1.2\ \frac{in}{ft}

That means

1.2 inches in the drawing represent 1 foot in the actual

step 2

Find out  the dimensions of the herb garden on the scale drawing

we know that

The dimensions of the herb garden in the actual are 2 ft by 5 ft

Multiply by the scale factor

so

2\ ft=2(1.2)=2.4\ in

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therefore

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

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3 years ago
What is the value of y in the equation 3 (3y - 9) = 0
iren [92.7K]

Answer:

y=3

Step-by-step explanation:

3 (3y - 9) = 0

Divide each side by 3

3/3 (3y - 9) = 0/3

3y -9 = 0

Add 9 to each side

3y -9+9 = 0+9

3y =9

Divide by 3

3y/3 = 9/3

y =3

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3 years ago
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grandymaker [24]
Most of the information's that are required for solving this question is already given in the question. It is important to check them minutely before trying to solve the problem in hand.
Amount of prize money won by the darts team = 1750 pounds
The amount of money that needs to be saved = 70 pounds
Then
Amount of money remaining after savings = (1750 - 70) pounds
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The number of  team members in the darts team = 14
So
The amount of money
that each members of the darts team gets = 1680/14
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3 years ago
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pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

y>2x+3

y

The related equation of given inequalities are

y=2x+3

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y=2(0)+3=3

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Put y=0, to find the x-intercepts.

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Check the given inequality by (0,0).

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This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

0

0

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

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This statement is false. It means (4,6) is not the solution of given system of inequalities.

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