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
Igoryamba
2 years ago
15

A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. If the area of the pool and the path combined

is 1440 square meters, what is the width of the path?
Mathematics
1 answer:
suter [353]2 years ago
5 0

Answer: the width of the uniform path is 9 meters.

Step-by-step explanation:

Let x represent the width of the uniform path.

A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.

If the area of the pool and the path combined is 1440 square meters, it means that

(18 + 2x)(22 + 2x) = 1440

396 + 36x + 44x + 4x² = 1440

4x² + 80x + 396 - 1440 = 0

4x² + 80x - 1044 = 0

Dividing both sides of the equation by 4, it becomes

x² + 20x - 261 = 0

x² + 29x - 9x - 261 = 0

x(x + 29) - 9(x + 29) = 0

x - 9 = 0 or x + 29 = 0

x = 9 or x = 29

Since the width cannot be negative, then x = 9 meters

You might be interested in
11) Solve the following equations, using the lines to show each step.<br><br> 4x + 5 = 2x + 7
asambeis [7]

Answer:

4x + 5 = 2x + 7

4x + 5 - 2x = 2x - 2x +7

2x + 5 = 7

2x + 5 - 5 = 7 - 5

2x = 2

2x÷2 = 2÷2

x = 1

Please Mark Brainliest

6 0
2 years ago
Read 2 more answers
Calculate the scale factor of ABC to DEF. Enter answer as a whole number or as a fraction in lowest terms, using the slash mark
bazaltina [42]

Answer:

3

Step-by-step explanation:

because 3x3= 9 and 4x3=12 and 5x3=15

5 0
2 years ago
Help Find kif (2, k) lies on the line with equation 2x + 7y = 41
Maksim231197 [3]

Answer:

i think 11y

Step-by-step explanation:

4 0
3 years ago
X²-x-6<br> What is hcf of the polynomial
Eva8 [605]

Answer:

the highest common factor of the polynomial is (x + 2) (x - 3)

Step-by-step explanation:

The computation of the highest common factor of the polynomial is as follows:

According to the question, the following equation is given

'x^2 - x - 6

Now do the factorization

x^2 -3x + 2x - 6

x(x - 3) +2 (x - 3)

(x + 2) (x - 3)

hence, the highest common factor of the polynomial is (x + 2) (x - 3)

The same is to be considered

3 0
3 years ago
If m&lt;FHI=142, what are m&lt;FHG and m&lt;GHI​
lisabon 2012 [21]
<h3>Answers:</h3>

angle FHG = 42 degrees

angle GHI = 100 degrees

=========================================================

Explanation:

FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.

Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)

This is the angle addition postulate.

------------------

(angle FHG) + (angle GHI) = angle FHI

(3x+6) + (9x-8) = 142

3x+6+9x-8 = 142

(3x+9x) + (6-8) = 142

12x - 2 = 142

12x-2+2 = 142+2 ... adding 2 to both sides

12x = 144

12x/12 = 144/12 .... dividing both sides by 12

x = 12

------------------

Use that x value to find the angles we're after

angle FHG = 3x+6 = 3*12+6 = 36+6 = 42

angle GHI = 9x-8 = 9*12-8 = 108-8 = 100

Note how

(angle FHG) + (angle GHI) = 42 + 100 = 142

which is the measure of angle FHI. This confirms the answers.

8 0
2 years ago
Other questions:
  • Yulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.
    9·1 answer
  • Two chords intersect inside a circle. the lengths of the segment of one chord are 4 and 6. the lengths of the segments of the ot
    5·2 answers
  • A company has two large computers. The slower computer can send all the company's email in 45 minutes. The faster computer can c
    11·1 answer
  • Which parent function is f(x) = x^2
    5·2 answers
  • he table below shows 10 data values: What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for t
    6·2 answers
  • 16. Cooper works in a chemistry lab and finds
    5·1 answer
  • jackson is going to the movies. he has to pay $7 for his ticket and $2 for each box of candy he buys. write an expression that r
    12·2 answers
  • Hello pls help with this ​
    9·2 answers
  • P^3•9^2 (P^4•9^n•R^3/R^4)= P^7 9^5 1^7<br><br> What is n?
    14·1 answer
  • Solve:<br> 55) A pool is filling at 3 pts per min. How many gallons per hour is that?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!