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alina1380 [7]
2 years ago
5

The formula for the area (A) of a circle is A = π • r2, where r is the radius of the circle. Ronisha wants to find the area of a

sector of a circle that has a central angle of π6 radians. Enter the number that Ronisha should multiply by to find the area of the sector of the circle. Round your answer to the nearest hundredth.
Mathematics
1 answer:
kobusy [5.1K]2 years ago
6 0

<em>Greetings from Brasil...</em>

Here we will apply rule of 3...

This formula, A = πR²,  its for the whole circle, that is, 360° (2π)

We want the area of only a part, that is, a circular sector whose angle π/6

 sector           area            

    2π     -----    πR²

    π/6    -----     X

2πX = (π/6).πR²

2πX = π²R²/6

X = π²R²/12π

<h3>X = πR²/12</h3>

If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6

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(184-94)/5=18

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2 years ago
Nick billups is paid a salary of $ 900 a month, a 2 % commission on all sales, and 1.8 % more on monthly sales over $ 17,500. In
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2 years ago
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Imogen sees a design for a garden in a magazine. She changes the scale because she wants a smaller garden. The figure below show
faust18 [17]

Answer:

Length A of the magazine garden is 28 feet is true.

Length B of the Magazine garden is 17.5 feet is true.

Length C of the Magazine garden is 35 feet is true.

Step-by-step explanation:

Please refer the attached figure.

Given:-

Magazine Scale is 1 inch = 3.5 feet.

Imogen's scale is 2 inches = 6 feet,

Therefore Imogen's scale is 1 inch = 3 feet.

In Triangle ABC,

side a = 8 inches, side b= 5 inches, side c= 10 inches.

To find:- The correct 3 options(actual size of sides of triangle  ABC).

Solution:-

In triangle ABC,

Let,

AB=side a =8 inches

BC=side b =5 inches

AC=side c= 10 inches

Now, as per the given scale's of Magazine and Imogen's we can find the actual sizes.

Length A as per Magazine scale (1 inch = 3.5 feet) is,

\therefore Length\ A=8\times 3.5   -------------(as per scale)

\therefore Length A=28\ feet

and Length A as per Imogen's scale(1 inch =3 feet) is,

AB = side a

\therefore Length\ A=8\times 3  -------------(as per scale)

\therefore Length A=24\ feet

Therefore Length A of the magazine garden is 28 feet is true.

Now, Length B as per Magazine scale (1 inch = 3.5 feet) is,

BC = side b

\therefore Length\ B=5\times 3.5

\therefore Length B=17.5\ feet

Length B as per Imogen's scale (1 inch = 3 feet) is,

BC = side b

\therefore Length\ B=5\times 3

\therefore Length B=15\ feet

Therefore Length B of the Magazine garden is 17.5 feet is true.

Now, Length C as per Magazine scale (1 inch = 3.5 feet) is,

AC = side c

\therefore Length\ C=10\times 3.5

\therefore Length C=35\ feet

Length B as per Imogen's scale (1 inch = 3 feet) is,

AC = side c

\therefore Length\ C=10\times 3

\therefore Length B=30\ feet

Therefore Length C of the Magazine garden is 35 feet is true.

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Contact [7]

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