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
zhuklara [117]
4 years ago
10

Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin

g along this side of the garden. He has 92 yards of fencing material.
What is the maximum area that will be enclosed?
Mathematics
1 answer:
NikAS [45]4 years ago
5 0

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 

                                                   2x + y = 92

The value of y in terms of x is equal to,

                                            y = 92 – 2x

The area is the product of the two sides,

                                                                        A = xy

Substituting,

                                                            A = x (92 – 2x) = 92x – 2x2

Solving for the derivative and equating to zero,

                                                            0 = 92 – 4x  ; x = 23

Therefore, the area of the garden is,

<span>                                                            A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

You might be interested in
West middle school ordered 121 boxes of markers. If there are 22 teachers how many boxes does each teacher get? Write answer as
never [62]
The answer should be 5.5 because you have to divide it. The fraction would be 5 over 10
6 0
3 years ago
Two step equations
Llana [10]

28 each book 155-15=140 and then 140÷5=28

6 0
3 years ago
Technician A says when there is a delay or slip as the transmission shifts into any forward gear, a slipping rear clutch is indi
blagie [28]

Answer:

Technician B

Step-by-step explanation:

It is very important that any car is taking for a test drive and a road test is carried out to check for any sort of problem with the transmission of the car or any leakages that may be found in the hydraulic circuits.

Technician B is very correct because when the hydraulic circuits is leaking, the front or forward clutch tends to slip thereby causing the shift for all forward gears to be delayed

Also,the sticking of the spool into the body of the valve can also cause the problem to occur as well.

8 0
3 years ago
The surface area of a right cone is 400.2 m2. The radius of the cone is 6.0 m. Determine the height of the cone to the nearest m
svetoff [14.1K]
                 S = πr(r + √(h² + r²))
          400.2 = 3.14(6)(6 + √(h² + 6²))
          400.2 = 18.84(6 + √(h² + 36))
          18.84                 18.84
        21¹⁰⁹/₄₇₁ = 6 + √(h² + 36))
        - 6         - 6
        15¹⁰⁹/₄₇₁ = √(h² + 36)
231²²¹⁰⁰⁵/₂₂₁₈₄₁ = h² + 36
- 36                       - 36
195²²¹⁰⁰⁵/₂₂₁₈₄₁ = h²
                14 ≈ h
8 0
3 years ago
Which of the statements about the following quadratic equation is true?
Sedaia [141]
After manipulating above equation we get, 2x^2 - 7x - 8= 0. Discriminant= b^2 - 4ac = (-7)^2 - 4(2)(-8) = 113>0. So there are 2 real roots :)
3 0
4 years ago
Read 2 more answers
Other questions:
  • The area of a rectangle is 56 square feet. The ratio of the width to the length is 2:7. Find the length and the width.
    13·1 answer
  • The equation to determine the weekly earnings of an employee at the hamburger shack is given by w(x), where x is the number of h
    7·1 answer
  • Find the equation for the linear function that passes through the points ( see photo )
    9·1 answer
  • I need help with #3 plzz answer asap​
    6·1 answer
  • Find the slope, if it exists, of the line containing the points (3,-1) and (3, -6).
    14·1 answer
  • Are all parallelograms square?
    15·1 answer
  • What Percent of 60m is 9m?​
    6·2 answers
  • Evaluate the expression for the given value of x.
    13·2 answers
  • Please help asap!' 9th grade math!!
    11·1 answer
  • Write an expression for the operation described below. add 4 and a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!