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3 years ago

Find the area of the shaded region. With steps

Mathematics

1 answer:

Agata [3.3K]3 years ago

4 0

Answer: the area of the shaded region is 21.5 cm²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Diameter of circle = 10 cm

Radius = diameter/2 = 10/2 = 5 cm

Area of circle = 3.14 × 5² = 78.5 cm²

The length of each side of the square is 10 cm. The area of the square would be

10² = 100 cm²

Therefore, the area of the shaded region would be

100 - 78.5 = 21.5 cm²

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?

Artemon [7]

Answer:

The equation $y=\frac{-x^2-6x+31}{8}$ represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula $d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$ , we find that the distance between (x, y) is

$\sqrt{(x+3)^2+(y-3)^2}$

and the distance between (x, y) and the directrix y = 7 is

$\sqrt{(y-7)^2}$ .

On the parabola, these distances are equal so, we solve for y:

$\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}$

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3 years ago

Can someone help me please

fredd [130]

The answer to that is C.

6 0

2 years ago

a BBQ restaurant grills 53 lb of chicken and one day. The restaurant does not close. How many pounds of chicken would the restau

nignag [31]

Answer: 19,345lb

Step-by-step explanation: 365(53)

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2 years ago

Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?

xxTIMURxx [149]

Answer:

x² + y² = 34

Formula:

(x - h)² + (y - k)² = r² where (h, k) is the center

<u>Here find the radius using distance formula</u>: → origin : (0, 0)

√(x2-x1)²+(y2-y1)²

√(3-0)²+(5-0)²

√9+25

√34

<u>Thus the equation of circle</u>:

(x - 0)² + (y - 0)² = (√34)²

(x - 0)² + (y - 0)² = 34

x² + y² = 34

7 0

2 years ago

Read 2 more answers

Let A = { 0 , 2 , 4 , 6 } , B = { 1 , 2 , 3 , 4 , 5 } , and C = { 1 , 3 , 5 , 7 } . Find { x ∣ x ∈ B or x ∈ C } .

EastWind [94]

Answer:

{1, 2, 3, 4, 5, 7}

Step-by-step explanation:

x in B or C is ...

B ∪ C = {1, 2, 3, 4, 5, 7}

5 0

3 years ago