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
astraxan [27]
3 years ago
11

A rectangular pool measures 10m by 5m. A deck, of uniform width, is to be built all the way around the pool such that the total

area of the pool and deck will be126m2 . Set up and solve a quadratic equation to determine the width of the deck.
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

The width of the deck is 2m .

Step-by-step explanation:

Let the width of the pool be represented by w. As stated in the problem a deck of uniform width is to be built so the total width of the pool and deck will be w+w = 2w.

Now the total dimensions can be taken as

10m+ 2w and 5m + 2w of both the pool and deck.

Area = length * breadth

126m ²= (10m+ 2w) ( 5m + 2w )

126= 50 + 30 w+ 4w²

0= 50 -126+ 30 w+ 4w²

0 = 30 w+ 4w²- 76

Taking 2 as common

0= 2( 15 w+ 2w² - 38)

2w²+ 15 w - 38= 0

The above equation is the quadratic equation and can be solved as follows.

a= 2 , b= 15 and c= -38

b= -b±√b²- 4ac/2a

Putting the values

b= - 15±√15²- 4( 2)(-38)/2(2)

b= - 15± 23/4

b= - 38/4 or 8/4

b= 2 m

The width cannot be negative so we ignore the negative value

The width of the deck is 2m .

The can be checked by putting the value in the original equation.

126m ²= (10m+ 2w) ( 5m + 2w )

126m ²= (10m+ 2(2)) ( 5m + 2(2) )

126m ²= (10m+ 4) ( 5m + 4 )

126m ²= 14*9

126m ²= 126m ²

You might be interested in
7.2 x 12 x 0.23 = ? Round to the nearest hundredth.
Vlada [557]
7.2 \times 12\times  0.23 = 19.872\approx \boxed{\bf{19.87}}

Your final answer is C. 19.87
8 0
3 years ago
A rental car company charges $30 a day plus $0.05 a mile. Which expression could be used to find the cost of renting a car for m
Gnoma [55]

Answer:

C

Step-by-step explanation:

Since the company earns $0.05 for every mile, we would multiply m by 0.05. We also add it with 30 since it is a base charge. This makes it C

It can't be A or B since that would mean the company earns $30.05 for every mile.

It can't be D since that would mean the company earns $30 for every mile with a base charge of $0.05.

6 0
3 years ago
Bruh, who else has exams?
Llana [10]

Answer:

I have exams too well cba's

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many yards are there in 5 miles?
weqwewe [10]

Answer:

8800

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
13x12=[3x______]+[3x_____]+[10 x______]+[10x____]
Ray Of Light [21]

Answer:it's on the explanation

Step-by-step explanation:

3 x 1

3 x 1

10 x 5

10 x 9

6 0
3 years ago
Other questions:
  • The product of 5 and a number x is 14 . What is the value of x?
    9·2 answers
  • ASAPPP HURRY UP PLSSS
    9·2 answers
  • Find the product mentally.
    10·2 answers
  • PLEASE HELP ASAP 15 BRAINLY POINTS
    5·2 answers
  • ANDREA IS A VERY GOOD STUDENT. THE PROBABILITY THAT SHE STUDIES AND PASSES HER MATHEMATICS TEST IS 17/20. IF THE PROBABILITY THA
    7·2 answers
  • Covert to slope intercept form : 9x - 7y = -7
    9·1 answer
  • I need some heckin help cuz i suck at math :)
    8·1 answer
  • Colin knows 10 Vocabulary terms. Everyday he wants to learn three new Words. explain the y-intercept in context to the scenario
    10·1 answer
  • Figure ABCD has vertices A(−4, 1), B(2, 1), C(2, −5), and D(−4, −3). What is the area of Figure ABCD?
    9·1 answer
  • 2. Express each of the following percentages as a decimal.<br>12%​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!