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
Tju [1.3M]
3 years ago
15

an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o

f the lake. what are the dimensions of the lake?
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0
X=length
y=width
Area (rectangle)=length x width
we suggest this system of  equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2   it does not validate
x₂=3/2    ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒  3/10 miles=(3/2) /5 miles

You might be interested in
Pleased help thankssss​
galben [10]

Answer:

B

Step-by-step explanation:

The square of y would look like y^2 and decreased means subtraction

So the equation now y^2-

the quotient of 8 and y would be 8/y

The full equation is y^2-8/y

6 0
3 years ago
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
xxMikexx [17]

Answer:

C AND D  Y=X-3 IS CONNECTING WITH C AND D AND Y=-2X+1 IS CONNECTING WITH A AND C

Step-by-step explanation:

3 0
4 years ago
What is 2 over seven times five over six?
sukhopar [10]
In its exact form 5/21



5 0
3 years ago
Read 2 more answers
Can somebody please help me with this:)
max2010maxim [7]

Answer: 4=-2x -1 and y=-1 2x

8 0
3 years ago
Given the expression (−2x2)(3x)(x), Jose says that different products occur if the order of the quantities being multiplied chan
Kaylis [27]

Answer:

Jose is incorrect.

Step-by-step explanation:

Using the communitive property, you can rearrange (-2x2), (3x), and (x) in the problem and get the same product. You can rearrange it to (3x)(x)(-2x2). You can rearrange it to (3x)(-2x2)(x). Now matter where you rearrange them, the equation will always have the same product.

3 0
2 years ago
Other questions:
  • A man is flying in a hot-air balloon in a straight line while keeping it at a constant altitude. As he approaches a parking lot
    10·1 answer
  • HELP ME PLEASE WITH THIS
    6·1 answer
  • The leg of a right triangle is 5 units and the hypotenuse is 8 units. What is the length, in units, of the other leg of the tria
    8·1 answer
  • Name one of two types of pentahedrons
    8·2 answers
  • The office worker can stamp 25 letters per minute.
    9·2 answers
  • I have just one question, could someone please answer it?? (see linked file)
    7·1 answer
  • The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.8% of his custom
    13·1 answer
  • PLEASE HELP I HAVE TO SUBMIT IN AN HOUR
    6·2 answers
  • X + 15 &gt; 20<br> Pls show steps
    15·2 answers
  • Michael says that <img src="https://tex.z-dn.net/?f=5%28%20%5Cfrac%7B1%7D%7B%20%7B5%7D%5E%7B3%7D%20%7D%29%20%3D%205%20%5C%3A%20%
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!