Please i need help on finding the volume

Volume =  516.1425 cubic feet

Step-by-step explanation:

The pentagon base appears regular.  so every side is 10 feet in length.

Now we need to figure out the area of the pentagonal base in order to find volume.

Volume V = (pentagon base area)*height

I need to find the apothem length as indicated in the drawing.

call it "a"

360/5 =  72 degrees.

36 degrees.

5/a = tan 36 ,    a =  5/(tan 36) = 6.88190  feet.

Area of pentagon base =  5 *  (1/2)*10* a  =  5*(1/2)*10* 6.88190 =172.0475 sq. ft

Area of pentagon base =  =172.0475 sq. ft

V = 172.0475 * 3 = 516.1425 cubic feet

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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