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
kondor19780726 [428]
3 years ago
12

A farmer wants to build a fence enclosing a rectangular region bordering a river. If the farmer has 500 feet of fencing, find th

e maximum area that can be enclosed.
Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer:

31,250 ft²

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the ends of the rectangle will have dimesion (500-x)/2, and the total area will be ...

... A = x(500-x)/2

This function describes a parabola with zeros at x=0 and x=500. The vertex (maximum) will be located halfway between these, at x=250.

The maximum size pen has area ...

... A = 250(500 -250)/2 = 31,250 . . . . sq ft

You might be interested in
Count the possible combinations of 3 letters chosen from A, B, C, D. The possible combinations of 3 letters are __.
anygoal [31]

Answer:

Step-by-step explanation:

We are given the letters:

2

We write the possible permutations of 3 letters from the given list:

3

Because order is not important in a combination we cross out the duplicate pairs:

4

8 0
3 years ago
Read 2 more answers
In the drawing below , PQ is parallel to ST. Triangle is similar to triangle TSR.
Lapatulllka [165]
SR corresponds to PR
7 0
3 years ago
An advertiser that uses ad scheduling has a custom bid adjustment for 9pm- 12am on weeknights. The normal bid is USD$0.40 and th
nika2105 [10]

Answer:

The answer is option D: the advertiser is bidding $0.70 between 9 pm-12 am on weeknights.

Step-by-step explanation:

The normal bid is $0.40 and the bid multiplier is 75%.

This amount becomes:

0.40+(0.75\times0.40)

= $0.70  (OPTION D)

So, the advertiser is bidding $0.70 between 9 pm-12 am on weeknights.

6 0
3 years ago
A triangle can have at most ________ right angle.
andrey2020 [161]
A triangle can only have at most one right angle.

Here's a proof that shows why this is so:

We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C

A + B + C = 180

Let's show that having two right angles is impossible

Let A = B = 90

90 + 90 + C = 180

180 + C = 180

Subtract 180 from both sides

C = 0

We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.

Let's try to show that it's impossible to have 3 right angles

Let A = B = C = 90

90 + 90 + 90 = 180 ?

270 ≠ 180

Thus it's impossible to have 3 right angles as well.

Let's show that is possible to have 1 right angle

Let A = 90

90 + B + C = 180

Subtract both sides by 90

B + C = 90

There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.

Have an awesome day! :)
3 0
3 years ago
Which equations represent functions?
never [62]

Answer:

2x + 3y = 10,  3y = 18  (in both cases, for each input x, there is exactly one output y.

Step-by-step explanation:

3y = 10 - 2x, or y = (1/3)(10 - 2x)   Yes, this is a function.

4x = 16 → x = 4        NOT a Function, because for x = 4 there are an infinite number of possible y -values

2x - 3 = 14 →  2x = 17  →  x = 17/2  Not a function.  See reason given above.

3y = 18 →  y = 6   Function

2x = 14.6   →  x = 7.3  Not a function.  See reason given above

4 0
3 years ago
Other questions:
  • A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
    15·2 answers
  • Calculate the length of the circumference of a circle with radius of 2.8cm
    15·2 answers
  • The table shows the solution to the equation |2x − 5| − 2 = 3:
    13·2 answers
  • After 20 minutes Juan had completed 14 questions which is 0. 7 of his assignment what percent of The assignment had Juan not com
    7·1 answer
  • Evaluate.
    8·1 answer
  • Please help I have been stuck for a while
    7·1 answer
  • Which graph represents the solution to the system of inequalities?
    6·1 answer
  • I’m crying rn I need helppp (number 4 ignore the rest) -1/2 to be left alone like without the x and what happened to the 5/2??
    11·1 answer
  • Mario worked from 8:25 to 12:45 yesterday.Today he will work 11:20 to 3:10. How many hours did he work in all?
    15·1 answer
  • What is the factors of 125, 135 and 55
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!