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IRINA_888 [86]
3 years ago
12

PLEASE ANSWER QUICKLY! : There are four questions here please make sure to click through, I got the first answer from someone bu

t they neglected to go through the photos. Oh well xD Any help is appreciated

Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0
Hey there :)

2 ) We know the perimeter of the regular hexagon to be 12 cm and the apothem to be \sqrt{3} cm

The area formula of a regular hexagon is:
Area = \frac{1}{2} × perimeter × apothem

Let us substitute:
A = ( \frac{1}{2})(12)( \sqrt{3} )
   = 6\sqrt{3} cm²
Your answer will be the second option

3 ) We know the value of the apothem to be 16.9 cm and the side length to be 14 cm

The perimeter of this octagon is:
P = 8 x side
   = 8 x 14
   = 112 cm

Area formula of a regular octagon is
A = \frac{1}{2} perimeter x apothem
A = \frac{1}{2} ( 112 )( 16.9 )
   = 946 .4 cm²
Your answer will be the last option

4 )  The apothem of the regular pentagon is given to be 5.5 cm and the side is 8 cm

The perimeter of this pentagon is:
P = 5 x side
   = 5 x 8
   = 40 cm

Area formula of a pentagon is:
Area = \frac{1}{2} x apothem x perimeter
         = \frac{1}{2} ( 5.5 ) ( 40 )
         = 110 cm²
Your answer will be the third option

5 ) The apothem of this hexagon is9\sqrt{3} cm and the side is 18 cm

The perimeter of the hexagon is
P = 6 x side
   = 6 x 18
   = 108 cm

The area formula of a regular hexagon is
Area = \frac{1}{2} x apothem x perimeter
         = \frac{1}{2} ( 108 )( 9\sqrt{3} )
         = 841 cm²
Your answer will be the first option
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abruzzese [7]

Answer:

52.33%

Step-by-step explanation:

Since, all six sides of the box are touching the ball.

So, all the three dimensions of the box are equal.

Hence, it is a cubical box.

Side length of the box (l)

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= 2*radius of the ball

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= 10 In.

V_{ball} = \frac{4}{3} \pi r^3

V_{ball} = \frac{4}{3} \times 3.14(5)^3

V_{ball} = \frac{4}{3} \times 3.14\times 125

V_{ball} = \frac{1,570}{3}\: In^3

V_{box} =l^3

V_{box} =(10)^3

V_{box} =1000\: In^3

Percentage of the space in the box occupied by the ball

= \frac{V_{ball}}{V_{box} } \times 100

= \frac{\frac{1,570}{3}}{1000} \times 100

= \frac{1570}{3000} \times 100

= \frac{157}{3}

= 52.33\%

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Multiply sixth of sixty six by a half of ten <br><br> Show step by step method
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