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
charle [14.2K]
2 years ago
6

A farmer needs to enclose three sides of a field with a fence (the fourth side is a river). The farmer has 49 yards of fence and

wants the field to have an area of 294 sq-yards. What should the dimensions of the field be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)
Mathematics
1 answer:
Setler79 [48]2 years ago
8 0

Answer:

The length of the field = 24.5 yards

The width of the field = 12 yards.

Step-by-step explanation:

If "w" is the width, then the length is 49 - 2w.

The area of the rectangle field = length × width

= w(49 - 2w)

Area = 49w - 2w^2

This a quadratic equation, the vertex of x coordinate is w

w = \frac{-b}{2a}

Here a = -2 and b = 49

w = \frac{-49}{2(-2)} = \frac{-49}{-4} = 12.25.

So width of the field is 12.25 yards.

The length of the filed = 49 - 2(12.25) = 24.5

Area = 12.25 × 24.5 = 300.125 square yards.

The field has an area of 294.

Therefore, the length must be 24.5 yards and width must be 12 yards.

24.5 × 12 =294 square yards.

Therefore, the length of the field = 24.5 yards

the width of the field = 12 yards.

You might be interested in
Solve. T + 23 > 1 t > 24 t > –22 t < 24 t < –22
creativ13 [48]

t + 23 > 1     subtract 23 from both sides

t + 23 - 23 > 1 - 23

t > -22

5 0
2 years ago
Coach Kirby is forming dodgeball teams from students in her physical education class.
Cloud [144]

Answer:

6x<48

Step-by-step explanation:

ik its this one because theres 48 players and 6 teams both are even numbers so if you did 48÷6x you would get 8 but theres fewer than 48 kids

6 0
1 year ago
I hope it’s clear enough but can some please help
Liula [17]

Answer:

b

Step-by-step explanation:

hope this helps you! have a good day!

6 0
3 years ago
There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry
lorasvet [3.4K]

Answer:

  • 7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

  • P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

  • Combination of 15 strawberry juices chosen in two:

C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105

The total number of possible outcomes is:

  • Combination of 25 juices chosen in two:

C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300

Thus, the probability of randomly picking two strawberry juices is:

  • P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20

5 0
3 years ago
Hiiii! help asap, 15 points (:
Pie
The correct answer is C

Good luck on the rest :D
4 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP!!!
    12·1 answer
  • Any suggestions for a word problem for the equation : 5/12 * 1/6?
    12·1 answer
  • Explain how you can use reasoning to compare two fractions with the same denominator.
    9·1 answer
  • a cylindrical tank with a radius 8 m is being filled with water at a rate 2 m^3/min. what is the rate of change of the water hei
    12·1 answer
  • While on vacation, a student visits the area around a volcano that has recently erupted. the student can expect to find samples
    14·1 answer
  • Seventy hundredth is the same as 0.07
    12·2 answers
  • What angle is included by segments AB and AC
    9·2 answers
  • SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
    8·1 answer
  • Hank finished bowling at 8:20 pm. He bowled for 2 hours and 15 minutes. What time did he start bowling?
    6·2 answers
  • Pls help <br> must find AC
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!