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Alexeev081 [22]
3 years ago
7

A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches

are needed.
Mathematics
2 answers:
Andrews [41]3 years ago
8 0
The answer is 6 benches are needed
aleksandr82 [10.1K]3 years ago
5 0

Answer:

6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
monitta

Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

Solve for <em>r: </em>

<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

Finally, add:

r^2=34

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

(x-7)^2+(y-2)^2=34

4 0
2 years ago
2/5 of a class are girls. 3/4 of the boys are called Paul. What fraction of the whole class is not called Paul?
Novay_Z [31]

Answer:

1/4

Step-by-step explanation:

3/4 + 1/4 = 4/4

7 0
3 years ago
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The price of gourmet coffee beans at the corner market has increased 10% per year over the past several years if the current cos
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$20 because 10% of 40 is 10 and the price now is 40 so 2 years before would have been 20
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An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is th
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The Cost of installing the artificial soccer pitch is $5360

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The soccer pitch us rectangle in shape. Hence:

Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters

Cost of installing the pitch = $20 per meter * 268 meters = $5360

The Cost of installing the artificial soccer pitch is $5360

Find out more on perimeter at: brainly.com/question/16596982

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