All categories

2 years ago

What is the total perimeter of the pitch and seating area?

Mathematics

2 answers:

Vlad [161]2 years ago

5 0

Answer:

The total Perimeter of the pitch and seating area is 179.83 m an the Total Area is 1394 m²

Step-by-step explanation:

Figure is attached with required naming.

Length of the Rectangle 1 = 40 m

width of the Rectangle 2 = 2000 cm = 20 m

radius of semi circle 2 = $\frac{2000}{2}=1000=10\,m$

radius of semi circle 3 = $\frac{2000}{2}=1000=10\,m$

length of the rectangle 4 = 25 m

width of the rectangle 4 = 800 cm = 8 m

length of the rectangle 5 = 10 m

width of the rectangle 5 = 800 cm = 8 m

Total Perimeter of the pitch and seating area

= length of rectangle 1 + circumference of semi circle 2 + circumference of semi circle 3 + length of rectangle 4 + 2 × width of rectangle 4 + length of rectangle 5 + 2 × width of the rectangle 5 + (length of rectangle 1 - length of rectangle 4 - length of he rectangle 5)

= 40 + π(10) + π(10) + 25 + 2 × 8 + 10 + 2 × 8 + ( 45 - 25 -10 )

= 40 + π(10) + π(10) + 25 + 16 + 10 + 16 + 10

= 117 + 20π

= 179.83 m (approx.)

Total area of the pitch and seating area

= Area of the Rectangle 1 + Area of semi circle 2 + area of semi circle 3 + area of rectangle 4 + area of rectangle 5

= 40 × 20 + π(10)² + 25 × 8 + 10 × 8

= 800 + 100π + 200 + 80

= 1080 + 314

= 1394 m²

Therefore, The total Perimeter of the pitch and seating area is 179.83 m an the Total Area is 1394 m²

natima [27]2 years ago

4 0

1m = 100 cm

so
40 m = 4,000 cm
25 m = 2,500 cm
10 m = 1,000 cm

perimeter of big rectangle = 2(4,000 + 2000) = 12,000 cm
perimeter of small rectangle on the left: 2(2,500 + 800) = 6,600 cm
perimeter of small rectangle on the right: 2(1,000 + 800) = 3,600 cm
perimeter of circle = πd = 3.141593 x 200 = 628.32 cm

total area of the pitch and seating area :
= 12,000 + 6,600 + 3,600 + 628.32 = 22,828.32 cm

answer
22,828.32 cm

You might be interested in

Express 5.555... in the form of a geometric series.

Evgesh-ka [11]

5.555 = 5.1 + 0.05 + 0.005

= 5.5 + 0.05 + 0.05(.1)

= 5.5 + 0.05/(1-.1)

=5.5+0.05/.9

=5.5 + 5/90

= 5.5+1/18

=55/10 + 1/18

= 495/90 + 5/90

=500/90

= 50/9

= 5 5/9

4 0

2 years ago

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than t

belka [17]

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is $x+8y=68$ and $3x+4y=64$ .

Step-by-step explanation:

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is :

⇒ $3x+4y=64$ .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is :

⇒ $x+8y=68$ .......(2)

3(2)-(1) i.e.

⇒ $3(x+8y)-(3x+4y)=68(3)-64$

⇒ $20y=140$

⇒ $y=7$

So , $x+8y=68$

⇒ $x+8(7)=68$

⇒ $x=12$

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is $x+8y=68$ and $3x+4y=64$ .

7 0

2 years ago

The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi

Leokris [45]

Answer:

75.

Step-by-step explanation:

If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.

The percentile 50 falls in the middle of this range, therefore, the value that represents the 50th percentile will be:

(65 +85) / 2 = 150 / 2 = 75.

4 0

2 years ago

The triangle shown below has an area of 121212 units^2 2 squared. Find xxx.

dalvyx [7]

Answer:

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}

Area of a triangle

⋅base⋅height

⋅6⋅x

=3x

divide both sides by 3

5 0

2 years ago

Statements about regression

galben [10]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.
It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.
It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.

3 0

2 years ago