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
gulaghasi [49]
3 years ago
8

Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose? Enter your answer i

n the box.
Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
<h2>Maximum area is 25 m²</h2>

Explanation:

Let L be the length and W be the width.

Aidan has 20 ft of fence with which to build a rectangular dog run.

         Fencing = 2L + 2W  = 20 ft

                     L + W = 10

                      W = 10 - L

We need to find what is the largest area that can be enclosed.

     Area = Length x Width

      A = LW

       A = L x (10-L) = 10 L - L²

For maximum area differential is zero

So we have

      dA = 0

      10 - 2 L = 0

        L = 5 m

      W = 10 - 5 = 5 m

Area = 5 x 5 = 25 m²

Maximum area is 25 m²

You might be interested in
Order: give Ceclor (cefaclor) 250 mg PO every 8 hours.
irinina [24]

Hello!

The answer is: 15 mL

Why?

From the statement we have that 250 mg need to be given every 8 hours, we can calculate how many mg will be given each day (24 hours):

\frac{24Hours}{8Hours} = 3

So,

3*250mg=750mg a day

We also know that there are 50 mg cefaclor every 1mL,

So, to know how many mL will be given with 750mg, we just need to divide it by 50

\frac{750}{50} = 15

Therefore,

15mL or 750 mg of cefaclor will be given each day.

Have a nice day!

8 0
2 years ago
What is a volume of this composite solid?
Alisiya [41]

Shape a = 6 x 4 x 3 = 72

Shape b = 4 x 4 x 4 = 64

72 + 64 = 136

A

7 0
2 years ago
Read 2 more answers
Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
1 year ago
Safety rent a car rents an intermediate size car at a daily rate of $21.95 plus $.19 per mile. City rentals rents an intermediat
Katen [24]
So you can use

$21.95 + $.19x = $18.95 + $.21x

7 0
3 years ago
Select the two points that the line would go through. Practice on a piece of paper in front of you.
Mama L [17]

Answer:

  • (1,-3), (2,-2)​

Step-by-step explanation:

The graph passes through (3, -1) and (0, -4)

<u>The slope is:</u>

  • (-4 - (-1))/-3 = -3/-3 = 1

<u>The y-intercept is given</u>: -4

<u>The line is:</u>

  • y = x - 4

See the graph

<u>The points plotted as well and those on the line are:</u>

  • (1,-3)
  • (2,-2)​

5 0
2 years ago
Other questions:
  • PLEASE SOMEONE HELP EASY Y6 QUESTION
    6·2 answers
  • When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function
    10·1 answer
  • Solving systems of equations by substitution<br> y= x - 8<br> y = -4
    13·1 answer
  • Find the value of x in the following system of equations:
    9·1 answer
  • Use an addition property to solve for a. 10 + (–15) = –15 + a
    8·2 answers
  • Nina has 2 cups of flour. However, this is only 1/4 of the amount of flour that she needs for a bread recipe. How many cups of f
    5·2 answers
  • Please help me....................​
    11·2 answers
  • 1. Name the two-dimensional shapes that when rotated around the vertical axis form the following three-dimensional solids?
    15·2 answers
  • By selling a chair for Rs. 500, Raman loses 10%. For how much should he sell the chair so as to gain 8%. ​
    7·1 answer
  • On a ΔABC, mΔA=80, mΔB=60<br> Find mΔC
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!