I need answer for a b and c

A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c

Alenkinab [10]

Answer:

$C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}$

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

$l\times b\times h$

where l is the length, b is the base and h is the height.

Volume of box =

$s^2h = 150\\\\h = \dfrac{150}{s^2}$

Area of base =

$\text{side}\times \text{side} = s^2$

Cost of concrete for the base = $4

Cost of base($) = $4s^2$

Area of roof =

$\text{side}\times \text{side} = s^2$

Cost of material for the roof = $2

Cost of roof ($) = $2s^2$

Area of 4 walls =

$4\times (sh)\\=4sh$

Cost of material for the side = $2.50

Cost of material of side($) =

$2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}$

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

$C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}$

is the required cost function.

5 0

3 years ago

..............................

Kruka [31]

Answer:

$x=17$

Step-by-step explanation:

$(6x+10)(x+17)(4x-34)$

$6x+10+x+17+4x-34=180$

Add:- $6x+x+4x=11x$

and $10+17-34=-7$

So, $11x-7=180$

Add 7 to both sides:-

$11x=187$

Divide both sides by 11:-

$\frac{11x}{11}=\frac{187}{11}$

$x=17$

<u>OAmalOHopeO</u>

8 0

2 years ago

The pyramid shown has a height of 14 inches and a base area of 60 in2. Find the volume of the pyramid.

Kamila [148]

Volume of pyramid is $280 in^{3}$ .

The pyramid has a height 14 inches and a base area of 60 in2.

What is volume?

Volume is a three - dimensional quantity that is used to measure the capacity of a solid shape.

Volume of the pyramid = $Area base$ X $\frac{height}{3}$

= $60.\frac{14}{3}$

= $280$ $in^{3}$

So the volume of pyramid = $280$ $in^{3}$

Learn more about the Volume visit:

https://brainly.in/question/609711

#SPJ1

8 0

1 year ago

dee’s age is twice Max’s age plus two more.Write an expression to represent Dee’s age.Then evaluate the expression when Max is 7

Mandarinka [93]

D=2x+2

X=7

Plug in the value for Max's age.

D=2(7)+2

D=14+2

D=16

Max is 7

Dee is 16

5 0

2 years ago

Read 2 more answers

2.

FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

3 0

3 years ago