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
If Two-thirds = x over 12 , what is the value of x?
SVEN [57.7K]

Answer:x=8

Step-by-step explanation:

3×4 = 12 so 2×4 = 8

6 0
3 years ago
You and a partner tend 3 machines that run continuously. One prints 200 plastic bottles per hour, one prints 180 plastic bottles
Airida [17]
I dont know the answer im just here for points

5 0
3 years ago
Read 2 more answers
HELP!!<br>What is the surface area of this shape?​
Hunter-Best [27]

2 triangular faces

1/2bh

10x15=150

2x150= 300

‘back’ face

7x20=140

‘front’ face

7x25= 175

‘bottom’ face

7x15= 105

total: 585m^2

6 0
3 years ago
What is 8 11/12 + 9 5/18
aleksklad [387]

Step-by-step explanation:

The picture is the full explanation for this question answer.

7 0
2 years ago
What’s the answer to this?
Gnoma [55]

Answer:

A = Heterozygous

B = Capital

C = Capital

G = Heterozygous

Step-by-step explanation:

Depends on which is dominant (Captital Letter)

If both are the same (lowercase or uppercase) eg TT, or tt They are capital

If different casings, they are Heterozygous.

(DUE TO Brainly disliking the word please refer Capital as H,o,m,o,z,y,g,o,u,s

3 0
3 years ago
Other questions:
  • Write a whole number and a fraction greater than 1 to name the part filled.Think : 1 container = 1
    8·2 answers
  • The segment shown below could form a triangle. True or False
    15·2 answers
  • Zoe and Hannah share tips in the ratio 3:7 <br> Last week ,Zoe received £24
    7·1 answer
  • PLEASE HELP WITH MATH CONSTRUCTED RESPONSE!!
    8·1 answer
  • Which type of data would be best displayed in a dot plot
    12·1 answer
  • Suppose that x has a binomial distribution with n = 201 and p = 0.45. (Round np and n(1-p) answers to 2 decimal places. Round yo
    12·1 answer
  • Guys please help me with this question, I’d appreciate it a lot
    7·1 answer
  • Help me asap
    15·2 answers
  • Question 12
    8·1 answer
  • Graphing Coordinates
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!