1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tatiana [17]
1 year ago
9

A rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material

for the base costs $15 per square meter. material for the sides costs $9 per square meter. let w denote the width of the base. Find a function in the variable w giving the cost C in dollars) of constructing the box.
Mathematics
1 answer:
Valentin [98]1 year ago
3 0

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

<h3>How to determine the function?</h3>

We have a rectangular storage container without a lid.

  • Volume, V = 10 m³
  • Length, l = 2w
  • Width, w = w
  • Base costs $15/m²
  • Sides costs $9/m²

The formula of volume of the box is

V = l × w × h

Where

  • l = length
  • w = width
  • h = height

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

Learn more about function of area here:

brainly.com/question/28698395

#SPJ4

You might be interested in
What is the perimeter of the shaded triangle?
trapecia [35]
36 
is the answer, i hope im right 
4 0
3 years ago
A fire truck ladder has its base 3 meters about the ground. The maximum length of the ladder is 120 meters. if the ladder's grea
faust18 [17]

Answer:

94

Step-by-step explanation:

i might be wrong

5 0
2 years ago
A chef used 6 cups of flour for every 2 cups of sugar to bake a cake. If he uses 12 cups of sugar, how many cups of flour did he
AVprozaik [17]

Answer:

36

Step-by-step explanation:

2 goes into 12 6 times and 6x6 = 36.

5 0
3 years ago
Read 2 more answers
The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g
Over [174]
\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\&#10;S_n=\cfrac{n}{2}(a_1+a_n)\quad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\ a_n=n^{th}~value\\&#10;----------\\&#10;\stackrel{least}{a_1}=128\\\\&#10;\stackrel{greatest}{a_n}=172&#10;\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n&#10;\\\\\\&#10;\textit{but we also know that sum of all interior angles is }180(n-2)&#10;\\\\\\&#10;\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n&#10;\\\\\\&#10;180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
7 0
3 years ago
Read 2 more answers
Write repeating decimal 0.027272727 ... as a fraction. <br><br> Reduce the fraction completely.
umka2103 [35]

Answer:

3/110

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Consider the following pair of equations:
    7·1 answer
  • Model the number 8.88 on the place value
    8·1 answer
  • Can a math guru help me out
    11·1 answer
  • OMG PLEASEEE HELP ME!!
    6·1 answer
  • What is the direct variation equation if f(x) varies directly with x and f(x)=−18 when x = 3?
    6·1 answer
  • If f(x) = x^2 and g(x)=x+ 6 find g(f(0))
    5·1 answer
  • If p(x) = (x - 1) (x + 1), then find the value of p(2) + p(1) - p(0)
    15·1 answer
  • Can anyone help please this question!
    12·1 answer
  • The following figures are parallelogram. find X and y​
    12·1 answer
  • Which is likely to have a mass close to 2 kilograms? (1 point)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!