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
Ratling [72]
3 years ago
12

A farmer wants to fence in a rectangular field that encloses 3600 square feet. One side of the field is along a river and does n

ot require fencing. The fencing costs $3.50 per foot. Express the total cost C(x) of the fencing (in dollars) as a function of x.
Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer:

C(x) = \$3.50(\frac{x^2+7200}{x})

Step-by-step explanation:

Data provided in the question:

Area of the field = 3600 square feet

Fencing charges = $3.50 per foot

Let the side along the river be 'x' feet and the other side of the 'B'

now,

Area of rectangle = Bx = 3600 square feet

or

B = \frac{3600}{x} feet

and total length to be fenced = x + 2B

therefore,

Total cost of fencing = Fencing charges × total length to be fenced

or

Total cost of fencing = $3.50 × ( x + 2B )

substituting the value of B from (1)

Total cost of fencing, C(x) = \$3.50(x+2\times\frac{3600}{x})

or

C(x) = \$3.50(\frac{x^2+7200}{x})

You might be interested in
16 + 2q = 6 what’s this?
nika2105 [10]

Answer:

6 - 16 = -10

-10/2 = -5

q = -5

4 0
2 years ago
Erik needs a plumber and must decide between two companies. For a service visit, Plumber A charges $85 to send a plumber, plus $
djverab [1.8K]
C. Plumber A and Plumber B will both charge $135 if they each work 2.5 h.
6 0
3 years ago
State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
valentinak56 [21]

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

7 0
3 years ago
Find the sum of 0.482 and 482.3152
Airida [17]

Answer:482.7972

Step-by-step explanation:

7 0
3 years ago
Graph f(x) = 3[x] +9
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • You have two credit cards. One has a balance of $3,745.00 at a 6.25% APR and the other has a balance of $1,045.00 and is depende
    8·2 answers
  • What is the area of this trapezoid?
    7·1 answer
  • Y+4x=10x-6 solve for x
    7·2 answers
  • Is the binomial a factor of the polynomial function?
    7·1 answer
  • Solve the following equation for x using inverse operations 7x-15=1
    12·2 answers
  • Bernardo is planning a 1,975 miles trip to St. Louis to visit a college. His car averages 25 miles per gallon. How
    12·2 answers
  • PLEASE HELP I NEED TO PASS THIS EXAM!<br>Given that triangle IHJ is equiangular, find x and y.
    15·2 answers
  • Which subtraction expression does the number line model show?
    5·1 answer
  • PLEASE HELP ME ASAP?!?(2questions) 60POINTS+BRAINLIEST
    8·1 answer
  • A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!