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
Lady bird [3.3K]
3 years ago
6

2. Two rectangular fields with identical shapes and areas are to be fenced side by side. The total area enclosed is 8mi^2 and th

e perimeter for all the fencing is 16 miles. Find the possible dimensions of one of the fields (2 possible answers).
Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Step-by-step explanation:

Let length is x and breadth is y.

The formula for the area and the perimeter of a rectangle is given by :

A = xy

P = 2(x+y)

Here, A = 8 mi² and P = 16 miles

Putting all the values,

xy = 8

y=8/x ......(1)

2(x+y) = 16

x+y = 8 .....(2)

Put equation (2) in equation (1) as follows :

x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0

When we solve, we get :

x = 6.82 miles, 1.17 miles

Put the value of x in equation (1)

When x = 6.82 miles,

y = 8/6.82

y = 1.17 miles

When x = 1.17 miles,

y = 8/1.17

y = 6.82 miles

Hence, the dimension of the field is 6.82 miles and 1.17 miles.

You might be interested in
On Thursday the Meat King Market sold 1,212 pounds of ground beef. On
Tresset [83]

Answer:

287 pounds

Step-by-step explanation:

1212 X 2= 2424

2424-2137= 287

8 0
3 years ago
How do I factor the expression 27- 9x + 15
gulaghasi [49]
Simple...

you have: 27-9x+15

Add any terms that are the same-->>

-9x+42

Factor-->>>

-3(3x-14)

Thus, your answer.
7 0
3 years ago
Read 2 more answers
What is an equivalent expression to q(2a+1)
kvasek [131]

You can distribute the q to both terms to get

q(2a+1) = q\cdot 2a + q\cdot 1 = 2aq+q

7 0
3 years ago
Read 2 more answers
What is the range of the following data 7, 5, 9, 10, 1, 2, 2, 8 ​
eduard

Answer:

9

Step-by-step explanation:

The range is the biggest number minus the smallest number

The biggest number in this set is 10

The smallest number is 1

10-1=

9

5 0
3 years ago
Read 2 more answers
Need help in 5 and 6 PLEASEE!!
klasskru [66]
5) Step-by-step solution:
Step 1 of 2
Write the numbers (other than dates) in this statement in scientific notation.
The mass of Pluto, the smallest planet, is 0.0021 times that of Earth; The mass of Jupiter, the largest planet, is 317.83 times that of earth.
The first number is 0.0021.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.

The original number (0.0021) was small so the exponent will be .
Therefore, the scientific notation is .
Step 2 of 2
The second number is 317.83.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.

The original number (317.83) was large so the exponent will be .
Therefore, the scientific notation is .

6) Simply move the decimal point 16 places to the right of where it currently is.

9.803 moved three times = 9803.
Then just add 13 zeroes (because 16 minus those first three = 13) to 9803, giving you a final result of 98030000000000000. Then if you wanted to make it pretty on your eyes with commas, it would be 98,030,000,000,000,000.
6 0
3 years ago
Other questions:
  • The numbers of seats in the first 12 rows of a high-school auditorium form an arithmetic sequence. The first row has 9 seats. Th
    5·1 answer
  • Cole company has 298,000 shares of common stock authorized, 245,000 shares issued, and 77,000 shares of treasury stock. the comp
    15·1 answer
  • Find the greatest common factor of the following monomials. 45s^6t^5 6s^2t^3 12s^4t^4
    13·1 answer
  • A value increased by 5 then split the results three ways
    9·1 answer
  • What is the slope of a line perpendicular to 5y + 3x = 15
    7·1 answer
  • Please add a number line if you can
    5·1 answer
  • What is the difference of the fractions? Use the number line to help find the answer. 1/2 - 1 1/5​
    14·1 answer
  • Your computer password contains six characters. Each character is either a number or a letter. How many different passwords are
    5·1 answer
  • Suppose 5 quarts of a solution that is15% antifreeze is mixed with quarts 3 of a solution that is antifreeze 65% . Answer the qu
    11·1 answer
  • Use the number line to find the sum of 1.5+(-5). A. -3.5 B.6.5 C.-6.5 D.3.5
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!