answer.
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
a_sh-v [17]
2 years ago
11

A rectangular lot is bounded on one side by a river and on the other three sides by a total of 80m of fencing. Find the dimensio

ns of the lot with the largest possible area
Mathematics
1 answer:
vova2212 [387]2 years ago
5 0
Hello,

Let 's a the width,
b the heigth

2a+b=80==>b=80-2a

Area=A(a,b)=a*b=a*(80-2a)
=-2a²+80a
=-2(a²-2*20a+20²-20²)
=-2(a-20)² +800
Area is maxi if a=20 and area max=800


You might be interested in
An architect designs a rectangular flower garden such that the width is exactly two thirds of the length of 270 feet of an antiq
bezimeni [28]
Width=180
Area=48600
Perimeter=900
8 0
2 years ago
A bookseller bought 80 books at rs 30 each 20 books were stolen and he sold the remaining books at 5% loss find the selling pric
Blizzard [7]

Answer:

rs 38.

Step-by-step explanation:

Total cost of the 80 books = 80*30 = rs 2400.

He had 60 books to sell and made a  5% loss.

Thus  his income from these books was  2400 - 0.05*2400 = rs 2280.

So the selling price of each book was 2280 / 60 = rs 38.

8 0
2 years ago
What is the value of 5 in 756? Write and draw to explain how you know
ozzi
The 5 is represented as 50. The number is in the tens place, and 5 in the tens place means 50.
700 + 50 + 6 = 756
4 0
2 years ago
Read 2 more answers
Let g(x)= -2(3x+4)(x−1)(x−3)^2 be a polynomial function. Name all horizontal and vertical intercepts of the graph. State the end
lesantik [10]

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

The end behavior is

<em>as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.</em>

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

3x + 4 = 0

x - 1 = 0

(x - 3) {}^{2}  = 0

We solve for x each time.

x =  -  \frac{4}{3}

x = 1

x = 3

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

{0}^{y}  = 0

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

0 + 72 = 72

Part C) End Behavior

The leading degree is even. Even Degree Polynomials like Quadratics tend to go approach positive infinity vertically as x approaches positive infinity, and as x approaches negative infinity, it approaches positive infinity vertically.

Our leading coefficient is negative so this means our quadratic will get reflected across the x axis.

Now this means, as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.

7 0
2 years ago
Taylor has a $30 gift card that she can spend at the store. She has already bought a $9 picture frame, and she wants to buy $3 j
Lorico [155]

Answer:

9

Step-by-step explanation:

total is 30

spent is $9

this is total money minus the amount of the picture frame

30-9

21 divide by 3

the total sum of journals bought was 9

7 0
2 years ago
Other questions:
  • What is the sum of the exterior angle measures, one at each vertex, of a convex heptagon?
    12·1 answer
  • Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. Tiles x2 + y2 −
    14·2 answers
  • A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres
    7·2 answers
  • Which statement is true regarding the functions on the graph?
    13·1 answer
  • Which expression represents the calculation “subtract 10 from 36, then divide by 6”
    14·1 answer
  • The dot plot below shows how many chocolate chips were in each cookie Lauren brought to school.
    9·1 answer
  • Find the rational form of 71.625​
    10·1 answer
  • An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.
    13·2 answers
  • 4. A sum of money is divided among Khairul, Michael and Ethan in the ratio 6:4:5. After Khairul
    8·1 answer
  • Determine all natural numbers x,y and z such that x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!