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2 years ago

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Frank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden

to the center of the garden? (A = πr2)

1 answer:

Arisa [49]2 years ago

5 0

100 = (22/7 )* r ^2
or r^ 2 = (100*7)/22
or r = 5.64 ft

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Akimi4 [234]

Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

<u>Solve:</u>

Center = (2, 14)

Radius = 1

<em>Given formula</em>

(x - h)² + (y - k)² = r²

<em>Substitute the value into the formula</em>

(x - 2)² + (y - 14)² = (1)²

<em>Simplify</em>

(x - 2)² + (y - 14)² = 1

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2 years ago

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2 years ago

What is the net force on this object? Small box with dot in the middle. Arrows originate at dot. Arrow up and Arrow down are sam

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2 years ago

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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

<u>Answer:</u>

Slope = 27/11
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<u>Step-by-step explanation:</u>

<u>Given :- </u>

Two points are given to us .
The points are A(7,15) and B(18,42)

<u>To Find</u> :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

<u>Hence the slope of the line is 27/11 .</u>

$\rule{200}2$

<u>Finding the length of AB :-</u>

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

<u>Hence the length of AB is 29.15 units .</u>

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2 years ago

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zimovet [89]

Answer:

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Step-by-step explanation:

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