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
Hello? STOP RIGHT THERE.... Please help me with this.
matrenka [14]

Answer: THE ANSWER IS 2 :)

Step-by-step explanation:

3(q+2)  Do distributive property

3q=6 Divide 3q to both side

3q = 3q

q= 2       This is the answer

6 0
3 years ago
Is my work correct here I'm supposed to find the first four terms using the recursion formula?
inessss [21]

Answer:

<u>yes your formula is correct </u>

Step-by-step explanation:

5 0
3 years ago
Edith needs 65 yards of yarn to knit a baby hat and 580 yards of yarn to knit a baby blanket. A ball of yarn contains 420 feet o
umka2103 [35]

Answer:

  5

Step-by-step explanation:

There are 3 feet in a yard, so 420 feet is 420/3 = 140 yards.

The total number of yards Edith needs is ...

  65 yd + 580 yd = 645 yd

So, the total number of balls of yarn Edith needs is ...

  (645 yd)/(140 yd/ball) ≈ 4.61 balls

Edith needs to buy 5 balls of yarn to make her projects.

3 0
3 years ago
Please see pictures for questions
Nataly [62]

Answer:

Step-by-step explanation:

Y WILL BE 11 THATS ALL I KNOW

7 0
2 years ago
Read 2 more answers
Answer this question please
Ivan

Answer:

equations

Step-by-step explanation:

an expression does not have an = sign but an equation does

8 0
2 years ago
Other questions:
  • Please help me with this one. WILL MARK BRAINLIEST
    11·1 answer
  • What are the coefficients for the binomial expansion of (a + b)^3?
    7·2 answers
  • !I will mark you BRAINLIEST!Can someone please help me with these questions
    12·2 answers
  • The running time for movie a is 40 minutes more than twice the running time for movie
    11·1 answer
  • Jamal earned $40 from his weekend job. He spent 1/4 of it on a Xbox game and 1/5 of it on a movie ticket. How much money does he
    9·2 answers
  • Eddie believes that if he flips a coin 650 times, it will land heads up exactly 325 times. What would you tell Eddie about his p
    15·1 answer
  • Find the volume (V) of the rectangular prism with a length (l) of 6 inches a width (w) of 3 inches and a height (h) of 4 inches.
    12·1 answer
  • Pls help!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Jermaine is saving $60 per week for a new guitar. The amount he has saved, s, is represented by
    5·1 answer
  • How many terms are in the polynomial abcd + e - h 2?<br><br> two
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!