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Inessa [10]
4 years ago
9

A water sprinkler sprays in a circular pattern a distance of 10 ft from the sprinkler to the edge. What is the circumference of

the spray? (π = 3.14)
Mathematics
1 answer:
vfiekz [6]4 years ago
7 0

Answer:

<h2>62.8 ft</h2>

Step-by-step explanation:

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Please answer asap!!!!!
kherson [118]

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

2

=r

2

where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

4 0
3 years ago
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OLEGan [10]

Answer:

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5 0
3 years ago
What is the distance between (12, –7) and (–3, –7)?
seropon [69]

15.9687194227 units between the 2 points

6 0
3 years ago
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How do you solve this problem? I’m really stressed and don’t know how, can someone take me step by step through it? It’s really
Marina CMI [18]
The answer to 4\|256 is 4, since we can find the square root of 256, which is 16, we can find the square root of the square root, which is 4, so, 4^4 is 256 is your answer
4 0
3 years ago
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What is the image of (4,-7) after a reflection over the y-axis?
Nitella [24]

Answer:

It would be a point which is at (-4,-7).

8 0
3 years ago
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