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alexandr402 [8]
2 years ago
14

A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and widt

h of 14 feet. A circle with radius 3 feet is cut out of the rectangle. What is the area of the Japanese garden around the koi pond? Use 3.14 for Pi. 195.74 feet squared 224.00 feet squared 252.26 feet squared 337.04 feet squared
Mathematics
1 answer:
Mariulka [41]2 years ago
7 0

Answer:

first, find the area of the circle cut.

r= 3 feet

π=3.14

area of a circle= πr²= 3.14×3×3= 28.26 sq.feet

Now, find the area of the rectangle and subtract it by the area of the circle.

area of rectangle = l×b

length of the rectangle= 16 feet

breadth/width of the rectangular garden= 14 feet

area=  16×14= 224 sq. feet

now, area of the garden surrounding the koi pond=  224-28.26

                                                                                     =195.74 sq. feet

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Answer:

  5√3 miles per hour

Step-by-step explanation:

Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:

  (10 mph)(cos(π/3)) = 5 mph

Meanwhile, the component of velocity of rowboat B to the north is ...

  (10 mph)(sin(π/3)) = 5√3 mph

Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.

The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.

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I’m not sure but the patterns seems to be adding three every week.
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2 years ago
4/9 of students at school are boys if there are 2601 students at the school how many are girls
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Step-by-step explanation:

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Anna set up a lemonade stand on her block over the summer. She recorded each day’s high temperature and the number of cups of le
Alexxx [7]

Answer:

Residual = -2

The negative residual value indicates that the data point lies below the regression line.

Step-by-step explanation:

We are given a linear regression model that relates daily high temperature, in degrees Fahrenheit and number of lemonade cups sold.

y = -34+ \frac{3}{5}  x

Where y is the number of cups sold and x is the daily temperature in Fahrenheit.

Residual value:

A residual value basically shows the position of a data point with respect to the regression line.

A residual value of 0 is desired which means that the regression line best fits the data.

The Residual value is calculated by

Residual = Observed value - Predicted value

The predicted value of number of lemonade cups is obtained as

y = -34+ \frac{3}{5} (95)\\\\y = -34+ 3 (19)\\\\y = -34+ 57\\\\y = 23

So the predicted value of number of lemonade cups is 23 and the observed value is 21 so the residual value is

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The negative residual value indicates that the data point lies below the regression line.

7 0
2 years ago
The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2
dangina [55]

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

s = \sqrt{24200}

s = \sqrt{242 \times 100}

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s = 10 \times 11\sqrt{2}

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P = 440 \sqrt{2}

The perimeter is irrational.

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2 years ago
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