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Paul [167]
3 years ago
10

Find the surface area and volume of the figure. Round to the nearest tenth.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer:

SA=64

V=28

Step-by-step explanation:

formula for SA: 2(lw+hw+lh)

formula for volume: l*w*h

where

l-(length)=2

w-(width)=2

h-(height)=7

lets solve for SA first:

2(2*2+2*7+2*7)

2(4+14+14)

2(32)

64

SA=64

now lets solve 4 volume

v=lwh

v=2*2*7

v=28

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Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of abou
Karolina [17]

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

   $95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

<u>A)  find the linear demand equation</u>

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

                 = ( 19000 - 28000 ) / ( 5 - 3 )  = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

  hence b = 41500  

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500   ----- ( 1 )

p = price per ride

<u>B ) Determine the price the company should charge to maximize revenue from ridership  and corresponding daily revenue</u>

Total revenue ( R ) = qp

                               = p ( -4500p + 41500 )

  hence R = -4500p^2 + 41500p  ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p  to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 ,  b = 41500 , c = 0

hence p = -\frac{b}{2a}  = - \frac{41500}{2(-4500)} =  4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

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3 years ago
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lakkis [162]
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6 0
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Dvinal [7]
I think it's 45 because 50+85=135

*Remember in total the sum of all angles must be equal to 180
So in order to find the missing angle subtract 180-135=45.

45 is the measure of the 3rd angle.

Hope I helped :)
6 0
3 years ago
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Vanyuwa [196]

Answer:

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Im pretty sure it is B

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