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IgorLugansk [536]
3 years ago
14

The circle below is centered at the origin and has a radius of 4. What is its equation?

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

C) x^2 + y^2 = 16

Step-by-step explanation:

<h2><u>Find the equation </u></h2>

since the radius is  4 this means that anywhere from the center of the circle to the edge of the circle is 4. hence :

place the horizontal line of the radius where y = 0 .

this means that if y = 0 , then x = 4

therefore :

x^2 + y^2

4^2 + 0^2

= 16

<h3><u>hence the answer is C ) x^2 + y^2 = 16</u></h3>
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A walkway forms one diagonal of a square playground. The walkway is 18 m long.
olga55 [171]

18m x 4 = 72m

Walkway = 72 meters.

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3 years ago
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Novosadov [1.4K]
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2 years ago
A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot
ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box  is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = (x\times x)

                               =x^2

The volume of the box  is = area of the base × height

                                           =x^2h

Therefore,

x^2h=272

\Rightarrow h=\frac{272}{x^2}

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

=20x^2 cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

=10x^2 cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

=4xh\times 1.5 cents

=6xh cents

Total cost = (20x^2+10x^2+6xh)

                =30x^2+6xh

Let

C=30x^2+6xh

Putting the value of h

C=30x^2+6x\times \frac{272}{x^2}

\Rightarrow C=30x^2+\frac{1632}{x}

Differentiating with respect to x

C'=60x-\frac{1632}{x^2}

Again differentiating with respect to x

C''=60+\frac{3264}{x^3}

Now set C'=0

60x-\frac{1632}{x^2}=0

\Rightarrow 60x=\frac{1632}{x^2}

\Rightarrow x^3=\frac{1632}{60}

\Rightarrow x\approx 3

Now C''|_{x=3}=60+\frac{3264}{3^3}>0

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is =\frac{272}{3^2}

                                          =30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0
3 years ago
Alyana needs to buy a piece of glass to cover the top of a circular table. The table has a diameter of 24 inches. How much glass
Firdavs [7]

Answer:

452.16 inches²

Step-by-step explanation:

→ Write circle area formula

π × r²

→ Substitute in the numbers

3.14 × 12²

→ Simplify

452.16 inches²

6 0
3 years ago
Solve. X2 ? 5x = 14 A) x = 0, x = 5 B) x = 0, x = ?5 C) x = 2, x = ?7 D) x = 7, x = ?2
Ymorist [56]
The answer would be letter D.
8 0
3 years ago
Read 2 more answers
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