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lisabon 2012 [21]
3 years ago
12

Please help me figure out the answers !

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0

Answer:

Step-by-step explanation:

44,89,989,54,211,26,2,78,54,51

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AREA, PERMITER AND VOLUME QUESTIONS.
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Step-by-step explanation:

(A) The radius of the circle is=1.8m

Then  diameter will be: 2r=2{\times}1.8=3.6 m

Circumference of circle= {\pi}d=3.14{\times}3.6=11.304 m

Area of the circle={\pi}r^{2}=3.14{\times}(1.8)^{2}=10.17 m^{2}

(B) The area of the rectangular backboard of basketball court = 18900cm^{2}

Width=180cm

Area of rectangle= l{\times}b[/tex]

18900=l{\times}180[/tex]

l=105 cm=1.05m

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Perimeter of the basketball court=2(l+b)

=2(15+28)

=86 m

Now, total perimeter= perimeter of the basketball court+perimeter of the seating space.

Total perimeter=101.8+86=187.8 m

Area of the seating space=l{\times}b

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(C) The shape consists of one square and 4 triangles, therefore area of square= (side)^{2}=(3)^{2}=9 m^{2}

Area of 4 triangles=4{\times}(\frac{1}{2}{\times}B{\times}H)

=4{\times}(\frac{1}{2}{\times}3{\times}2)=12m^{2}

Area of the shape= Area of the square+ area of the 4 triangles

=9+12=21m^{2}

(D) Perimeter of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by: 2(l+b)=2(40+10)=100 m

Perimeter of rectangle with length 68 m and breadth=33 m is given by:2(l+b)=2(68+33)=202 m

Perimeter of  the semicircle=\frac{{\pi}d}{2}=\frac{3.14{\times}34}{2}=53.38 m

Total perimeter= 100+201+53.38=355.38 m

Area of rectangle with length=40 m (After converting cm to m) and breadth= 10 m is given by:l{\times}b=40{\times}10=400 m^{2}

Area of rectangle with length 68 m and breadth=33 m is given by:l{\times}b=68{\times}33=2244 m^{2}

Area of the semi circle=\frac{{\pi}r^{2}}{2}=\frac{3.14{\times}17^{2}}{2}=453.73 m^{2}

Total  area= 400+2244+453.73=3097.73 m^{2}

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